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FEBRUARY 15 -17, 2006 |
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| Analysis Seminar *** Please note special date and time, and location |
| Topic: |
Spectra of positive and negative energies in the linearized NLS problem |
| Presenter: |
Vitali Vougalter, University of Toronto |
| Date: |
Wednesday, February 15, 2006, Time: 3:00 p.m., Location: Fine Hall 401 |
| Abstract: |
We study the spectrum of the linearized NLS equation in three dimensions in association with the energy spectrum. We prove that unstable eigenvalues of the linearized NLS problem are related to negative eigenvalues of the energy spectrum, while neutrally stable eigenvalues may have both positive and negative energies. The nonsingular part of the neutrally stable essential spectrum is always related to the positive energy spectrum. We derive bounds on the number of unstable eigenvalues of the linearized NLS problem and study bifurcations of embedded eigenvalues of positive and negative energies. |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
Hurwitz numbers, admissible covers and local GW theory |
| Presenter: |
Renzo Cavalieri, Michigan University |
| Date: |
Wednesday, February 15, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
| Abstract: |
Moduli spaces of Admissible Covers are smooth (as DM stacks) compactifications of the classical Hurwitz schemes, parametrizing ramified covers of Riemann Surfaces with specified numerical invariants and ramification data. Not surprisingly the theory of Hurwitz numbers is strictly related with such spaces. What I intend to present is how this theory in fact extends to a TQFT (Frobenius Algebra) encoding more general intersection numbers on Admissible Cover spaces, and strictly related to (local) Gromov-Witten Theory. The upshot is that Hurwitz numbers and Atyiah-Bott localization allow to compute explicitly generating functions for this theory. |
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| Department Colloquium |
| Topic: |
Small gaps between primes |
| Presenter: |
Dan Goldston, San Jose State University |
| Date: |
Wednesday, February 15, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
I will describe recent joint work with Janos Pintz and Cem Yildirim on small gaps between primes. One surprising result is that if the primes are well distributed in arithmetic progressions then one can prove results not too far from the twin prime conjecture, for example, if the Elliott-Halberstam conjecture is true then there are infinitely many pairs of primes with difference 16 or less. Unconditionally we prove that there are pairs of primes much closer together than the average distance between consecutive primes.
This work has had its share of media attention, and even generated a song on public television. In my case there has been three stages to this publicity: the enjoyment of small-time public fame for proving the result two years ago, followed closely by the not so enjoyable publicity when the proof crashed, and lastly the redemption following the strange emergence of a new proof. After Wiles this may seem like standard procedure in mathematics, but I would not recommend it for the faint of heart. |
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| Ergodic Theory and Statistical Mechanics Seminar |
| Topic: |
Ergodic theory and lattice points |
| Presenter: |
Amos Nevo, Institute for Advanced Study |
| Date: |
Thursday, February 16, 2006, Time: 2:00 p.m., Location: Fine Hall 322 |
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| Analysis Seminar *** Please note special time and location |
| Topic: |
The hypoelliptic torsion |
| Presenter: |
Jean-Michel Bismut, Universite Paris-Sud |
| Date: |
Thursday, February 16, 2006, Time: 4:30 p.m., Location: Fine Hall 214 |
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| Topology Colloquium |
| Topic: |
Generalizations of Teichmueller space in the Hermitian context |
| Presenter: |
Anna Wienhard, Institute for Advanced Study |
| Date: |
Thursday, February 16, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
The Teichmueller space of a closed oriented surface
S parametrizes all hyperbolic structures on S. Associating with a hyperbolic structure its holonomy representation embeds the Teichmueller space as one connected component into the space of all representation of the fundamental group G of S into PSL(2,R). We will show that the representation variety of representation of G into Lie groups of Hermitian type contains connected components which in many aspects resemble the classical Teichmueller space. There are several interesting links with higher Teichmueller spaces defined by Hitchin in the context of split real Lie groups. (This is joint work with M. Burger and A. Iozzi) |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Natasa Sesum , Columbia University |
| Date: |
Friday, February 17, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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| Geometric Analysis Seminar *** Please note special time |
| Topic: |
The Spacelike Stability of the Isotropic Friedmann Model |
| Presenter: |
Christina Sormani, City University of New York |
| Date: |
Friday, February 17, 2006, Time: 4:00 p.m., Location: Fine Hall 314 |
| Abstract: |
In the Friedmann Model of the universe, cosmologists assume that spacelike slices of the universe are Riemannian manifolds of constant
sectional curvature. This assumption is justified via Schur's Theorem by stating that the spacelike universe is locally isotropic. Here we define a Riemannian manifold as almost locally isotropic in a sense which allows both weak gravitational lensing in all directions and
strong gravitational lensing in localized angular regions. We then prove that such a manifold is Gromov Hausdorff close to a length space $Y$ which is a collection of space forms joined at discrete points. Within the paper we define a concept we call an "exponential length space'' and prove that if such a space is locally isotropic then it is a space form. |
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FEBRUARY 20 - 24, 2006 |
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| PACM Seminar |
| Topic: |
Math Problems from the Far Side of Quantum Information |
| Presenter: |
Christopher A. Fuchs, Bell Labs, Lucent Technologies |
| Date: |
Monday, February 20, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
The field of Quantum Information has recently rightly attracted great interest for the technological fruits it may bear. But there is a sect of its practitioners who think it stands a chance to bring us much more than that---namely, that its theoretical tools will give us a means for exploring what quantum mechanics is really all about and for settling some of the deepest problems in physics. The roots of this optimism come from a very old thought: that a quantum state has more to do with representing its user's information, than any inherent physical property of the system to which it is ascribed. What is new and nice is that quantum information teaches us how to formulate this idea precisely and even check its consistency. Nicer still for the mathematics community is the number of juicy mathematical problems the consistency-checking process poses. In this talk, I will review some of the history of this and then quickly settle on a sample problem that has been annoying me a lot lately: the question of the existence of symmetric informationally complete positive-operator-valued measures for finite dimensional Hilbert spaces. I'm not alone---it turns out to be equivalent to a 30-year-old problem in coding theory---but I will say some things about it that you may not have heard before. |
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| Math Graduate Student Seminar |
| Topic: |
Hypoellipticity |
| Presenter: |
Brian Street, Princeton University |
| Date: |
Tuesday, February 21, 2006, Time: 12:30 p.m., Location: Fine Hall 224 |
| Abstract: |
We call an operator $L$ acting on distributions ("generalized functions") $C^\infty$-{\it hypoelliptic} if whenever $Lu$ is $C^\infty$ on a neighborhood of a point $p$, then $u$ is also $C^\infty$ on a neighborhood of $p$. A classical example of a hypoelliptic operator is the laplacian on $\mathbb{R}^n$. I will present a brief introduction to the study of hypoellipticity via outlines of the proofs of two of the main theorems in the area. In the process, I will have occasion to mention such cross cultural phrases as "characteristic variety" and Kohn's "multiplier ideals"(though only in the context of analysis). |
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| Special Seminar |
| Topic: |
Resonances and Formation of the Gaps in the Spectrum of Quasi-Periodic Schrödinger Equation |
| Presenter: |
Michael Goldstein, University of Toronto |
| Date: |
Tuesday, February 21, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
| Abstract: |
See http://www.math.ias.edu/~agarber/MGoldstein/resogaps.pdf |
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| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
R. Donagi, University of Pennsylvania |
| Date: |
Tuesday, February 21, 2006, Time: 4:30 p.m., Location: Fine Hall 322 |
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| Mathematical Physics Seminar |
| Topic: |
Stability of the quantum harmonic oscillator under time quasi-periodic perturbations
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| Presenter: |
W.M. Wang, CNRS and University of Massachussetts at Amherst |
| Date: |
Tuesday, February 21, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
| Abstract: |
We prove stability of quantum harmonic oscillator for a large set (of positive measure, asymptotically of measure 1) of perturbation frequencies. From the KAM point of view, this is a border line case. Generally speaking, stability under time quasi-periodic perturbation is a precursor toward stability under nonlinear perturbation.
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| Operation Research and Financial Engineering Seminar |
| Topic: |
A relative performance approach to portfolio selection when there is model ambiguity |
| Presenter: |
Andrew Lim, UC Berkeley |
| Date: |
Tuesday, February 21, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
| Abstract: |
Recent interest in the topic of "investment with model ambiguity" in the finance, economics and decision theory communities has been motivated largely by efforts to incorporate "ambiguity aversion", as suggested by experiments such as the Ellsberg Paradox, in the analysis of agent behavior. Closely related work on "robust portfolio selection" in the optimization community has been driven by the observation that the solutions of classical optimal portfolio selection problems (such as "mean-variance optimization") are sensitive to statistical errors that can arise during calibration, and that the "real world" performance of such portfolios can be poor if these errors are ignored. The commonly used method for addressing these issues is some sort of "worst case" optimization which has led in turn to methodologies such as "worst case mean-variance" and "worst case utility maximization". While the "worst case approach" has its axiomatic foundations in the work of Gilboa and Schmeidler, it has also been criticized for being "overly pessimistic".
In this talk, we propose and analyze an alternative measure of` "robust performance". This alternative measure differs from the typical "worst case expected utility" and "worst case mean-variance" formulations in that the "robust performance" of a (dynamic) portfolio is evaluated not only on the basis of its performance when there is an adversarial opponent ("nature"), but also by its performance relative to a fully informed ``benchmark investor" who behaves optimally given complete knowledge of the otherwise ambiguous model. This "relative performance" approach has several important properties: (i) decisions arising from this approach are less pessimistic than the portfolios obtained from the typical "worst case expected utility" and "worst case mean-variance" formulations, (ii) the dynamic "relative performance" problem reduces to a convex static optimization problem under reasonable choices of the benchmark portfolio, and (iii) the solution of the "relative performance" problem coincides with that of a "Bayesian" portfolio choice problem with an appropriately chosen prior. The static problem is interesting in its own right: it can be interpreted as a less pessimistic alternative to the single period "worst case mean-variance" problem.
Joint work with J. George Shanthikumar and Thaisiri Watewai. |
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| Number Theory Seminar |
| Topic: |
Rational points of bounded height and Adelic mixing |
| Presenter: |
Hee Oh, Caltech and IAS |
| Date: |
Wednesday, February 22, 2006, Time: 2:00 p.m., Location: Fine 314 |
| Abstract: |
We will talk about a proof of Manin's conjecture on the asymptotic density of rational points of bounded height for the special case of a compactification of a semisimple algebraic group defined over a number field. The main tool is the mixing property (or equivalently, the decay of matrix coefficients) of the quasi-regular representation of the associated Adele group. No background on algebraic geometry or adeles will be assumed. (This is a joint work with Gorodnik and Maucourant). |
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| Discrete Mathematics Seminar |
| Topic: |
Discrepancy games |
| Presenter: |
Michael Krivelevich, Tel Aviv University |
| Date: |
Wednesday, February 22, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
See http://www.math.princeton.edu/~bsudakov/krivelevich2005-2006.pdf |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
A. Zinger, Stony Brook |
| Date: |
Wednesday, February 22, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
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| Department Colloquium |
| Topic: |
Multiple correlations in Ergodic Theory |
| Presenter: |
Bernard Host, Universit´e de Marne la Vall´ee |
| Date: |
Wednesday, February 22, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
Consider a probability space (X,\CB,\mu) endowed with an invertible measure preserving transformation T. This system is "mixing'" if for any sets A,B\in \CB the measure of A\cap T^nB converges to the product \mu(A)\mu(B) when n goes to infinity. It is called `"three fold mixing'" if for any sets A,B,C\in \CB we have \mu(A\cap T^mB \cap T^n C)\to\mu(A)\mu(B)\mu(C)when m and n-m\to+\infty.
Does mixing imply three fold mixing? This question is almost as old as ergodic theory itself and still open. Very little progress has been done until now. I will first present some relatively old results.
This question is related to the notion of `"multicorrelations." If f is a function on X, its `"correlation sequence'' c_n(f):=\int f(x) f(T^nx) d\mu(x) has a nice description as the Fourier transform of a measure. But higher correlation sequences, like c_{m,n}(f):=\int f(x) f(T^mx)f(T^nx) dx, are much less understood. I plan to present a few properties of these sequences. |
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| Ergodic Theory and Statistical Mechanics Seminar |
| Topic: |
Ergodicity and spectral gaps for degenerately forced stochastic PDEs |
| Presenter: |
J.Mattingly, Duke University |
| Date: |
Thursday, February 23, 2006, Time: 2:00 p.m., Location: Fine Hall 322 |
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| Algebraic Topology Seminar *** NEW*** |
| Topic: |
TBA |
| Presenter: |
Sam Gitler, CISTAV Mexico and Princeton University |
| Date: |
Thursday, February 23, 2006, Time: 3:00 p.m., Location: Fine Hall 401 |
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| Geometric Analysis Seminar |
| Topic: |
Relative stability and modified K-energy on toric manifolds |
| Presenter: |
Xiaohua Zhu, Beijing University |
| Date: |
Friday, February 24, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
| Abstract: |
In this talk, I will discuss the relative $K$-stability and modified $K$-energy associated to the Calabi's extremal metrics on toric manifolds. I will show a sufficient condition in the sense of polyhedrons associated to toric manifolds for both relative $K$-stability and the modified $K$-energy. In particular, the result holds for toric Fano manifolds with vanishing Futaki invariant. I will also verify the result on toric Fano surfaces. |
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FEBRUARY 27 - MARCH 3, 2006 |
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| PACM Seminar |
| Topic: |
Layering As Optimization Decomposition |
| Presenter: |
Mung Chiang, Electrical Engineering, Princeton University |
| Date: |
Monday, February 27, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
Layered network architecture has traditionally been designed based on engineering heuristics. Recently a mathematically rigorous, practically relevant, and unifying framework has emerged to view the network as a solver of a generalized utility maximization problem, with alternative decompositions of the problem corresponding to different layering schemes, each decomposed subproblem corresponding to a different layer, and functions of variables coordinating the subproblems as the interfaces among the layers. Such decompositions can be carried out both horizontally across geographically disparate network elements and vertically into various functional modules. This talk surveys the recent advances in establishing this framework as a systematic approach to analyze and design protocol stacks in a holistic way that reveals the underlying structures and explores network design alternatives. Connections with distributed subgradient algorithm, convex and nonconvex optimization, stochastic optimization, differential topology, and algebraic geometry will be highlighted. |
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| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
A.J. de Jong, Columbia University |
| Date: |
Tuesday, February 28, 2006, Time: 4:30 p.m., Location: Fine Hall 322 |
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| Mathematical Physics Seminar |
| Topic: |
CMV: the unitary analog of Jacobi matrices |
| Presenter: |
I. Nenciu, Courant Institute and Institute for Advanced Study |
| Date: |
Tuesday, February 28, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
| Abstract: |
We discuss a number of properties of CMV matrices, by which we mean the class of unitary matrices recently introduced by Cantero, Moral, and Velazquez. We argue that they play an equivalent role among unitary matrices to that of Jacobi matrices among all Hermitian matrices. In particular, we describe the analogs of well-known properties of Jacobi matrices: foliation by co-adjoint orbits, a natural symplectic structure, Lax representation for an integrable lattice system (Ablowitz-Ladik), and the relation to orthogonal polynomials. As offshoots of our analysis, we\ will construct action/angle variables for the finite Ablowitz Ladik hierarchy and describe the long-time behavior of this system.
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| Operation Research and Financial Engineering Seminar |
| Topic: |
TBA |
| Presenter: |
Frank Riedel, Rheinische Friedrich-Wilhelms-Universität Bonn |
| Date: |
Tuesday, February 28, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
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| Number Theory Seminar |
| Topic: |
TBA |
| Presenter: |
Chris Hall, University of Texas at Austin |
| Date: |
Wednesday, March 1, 2006, Time: 2:00 p.m., Location: Fine 314 |
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| Discrete Mathematics Seminar |
| Topic: |
Mass distribution in high dimensional convex sets |
| Presenter: |
Boaz Klartag, IAS |
| Date: |
Wednesday, March 1, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
We review some basic properties and discuss several open problems, related to the distribution of volume in general high dimensional convex sets. We will also describe some of the recent developments in the subject. No special prior knowledge will be assumed. |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Benjamin Weiss, Hebrew University of Jerusalem |
| Date: |
Wednesday, March 1, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Analysis Seminar |
| Topic: |
Commutative algebras of Toeplitz operators and Berezin quantization |
| Presenter: |
Nikolai Vasilevski, CINVESTAV del I.P.N. |
| Date: |
Thursday, March 2, 2006, Time: 4:00 p.m., Location: Fine Hall 322 |
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| Geometric Analysis Seminar |
| Topic: |
Isoperimetric inequalities and the large scale geometry of Hadamard spaces |
| Presenter: |
Stefan Wenger, Courant Institute, NYU |
| Date: |
Friday, March 3, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
| Abstract: |
We discuss some aspects of isoperimetric inequalities for k-dimensional integral currents in complete CAT(0)-spaces and in complete metric spaces X
admitting cone type inequalities. We first show that such X admit isoperimetric inequalities of Euclidean type for k-dimensional cycles. This means that
the volume needed to fill a cycle of volume r is bounded above by Cr^(k+1)/k for some constant C depending only on k and X. This extends a result of M.
Gromov from the context of Riemannian manifolds to that of metric spaces. We furthermore show: If all asymptotic cones of X have 'dimension' strictly
less than k+1 in the sense that images of Lipschitz maps from R^(k+1) have (k+1)-dimensional measure 0 then X admits an isoperimetric inequality of
sub-Euclidean type for k-dimensional cycles. As a consequence we obtain that a proper cocompact Hadamard space admits isoperimetric inequalities of
sub-Euclidean type above the dimension of its Euclidean rank. In particular, isoperimetric inequalities can be used to detect the Euclidean rank of
proper cocompact Hadamard spaces. A conjecture of Gromov asserts that such a space should even admit linear isoperimetric inequalities above its
Euclidean rank. |
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MARCH 6 -10, 2006 |
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| PACM Seminar |
| Topic: |
Wireless Sensing, Active Learning and Compressive Sampling |
| Presenter: |
Robert Nowak, Electrical and Computer Engineering, University of Wisconsin-Madison |
| Date: |
Monday, March 6, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
Wireless sensor networks promise a fundamentally new approach for gathering information about the physical environment via a distributed network of sensors that can communicate with each other and/or with a (usually distant) fusion center through radio-frequency wireless links. Limited power resources make energy conservation essential in these envisioned sensing systems. Thus, it becomes crucial to strategically decide when, where and how to collect samples and communicate information. Active learning methods adaptively select samples based on previous observations in order to "learn" a target function using as few samples as possible, which could clearly be advantageous in sensor network operations. Compressive sampling refers to taking non-traditional samples in the form of randomized projections of data. Recent results show that compressive sampling can allow one to reconstruct signals from far fewer samples than required by traditional Shannon-Nyquist sampling schemes, again suggesting promising opportunities for wireless sensing. In this talk I will discuss the theory of active learning and compressive sampling, connections to information and coding theory, and some intriguing potential applications to wireless sensing systems. |
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| Algebraic Geometry Seminar |
| Topic: |
Counts of maps to the Grassmannian and Verlinde numbers on the moduli space of rank r bundles on a curve |
| Presenter: |
A. Marian, Yale University |
| Date: |
Tuesday, March 7, 2006, Time: 4:30 p.m., Location: Fine Hall 322 |
| Abstract: |
I will describe an intersection-theoretic relationship between the moduli space of rank r bundles on a curve C and the space of maps from C to the Grassmannian G(r, N), for large N. This relationship can be used to derive many of the Witten intersection numbers on the moduli space of bundles (for instance the volumes) as highest degree N-asymptotics in formulas of Vafa-Intriligator type, i.e. formulas which capture some of the enumerative geometry of the space of maps to the Grassmannian. One recovers thus algebraically results previously deduced via symplectic methods by Jeffrey-Kirwan and others. This is joint work with Dragos Oprea. |
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| Mathematical Physics Seminar |
| Topic: |
On localization in lattice Schroedinger operators |
| Presenter: |
Jean Bourgain, Institute for Advanced Study |
| Date: |
Tuesday, March 7, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
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| Operation Research and Financial Engineering Seminar |
| Topic: |
TBA |
| Presenter: |
Diego Klabjan, University of Illinois |
| Date: |
Tuesday, March 7, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
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| Discrete Mathematics Seminar |
| Topic: |
Codes and Xor graph products |
| Presenter: |
Eyal Lubetzky, Tel Aviv University |
| Date: |
Wednesday, March 8, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
See http://www.math.princeton.edu/~bsudakov/eyal2005-2006.pdf |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
A. Oblomkov, Princeton University and IAS |
| Date: |
Wednesday, March 8, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
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| Analysis Seminar |
| Topic: |
PDEs that lose derivatives |
| Presenter: |
Joseph Kohn, Princeton University |
| Date: |
Thursday, March 9, 2006, Time: 4:00 p.m., Location: Fine Hall 322 |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Christopher B. Croke, University of Pennsylvania |
| Date: |
Friday, March 10, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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MARCH 13 -14, 2006 |
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| Mathematical Physics Seminar |
| Topic: |
TBA |
| Presenter: |
A. Okounkov, Princeton University |
| Date: |
Tuesday, March 14, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
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| Operation Research and Financial Engineering Seminar |
| Topic: |
TBA |
| Presenter: |
Wolfgang Hürdle, Humboldt-Universitüt zu Berlin |
| Date: |
Tuesday, March 14, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
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| Number Theory Seminar |
| Topic: |
TBA |
| Presenter: |
Kathrin Bringmann, University of Wisconsin at Madison |
| Date: |
Wednesday, March 15, 2006, Time: 2:00 p.m., Location: Fine 314 |
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| Discrete Mathematics Seminar |
| Topic: |
TBA |
| Presenter: |
Oleg Pikhurko, Carnegie Mellon University |
| Date: |
Wednesday, March 15, 2006, Time: 2:15 p.m., Location: Fine 224 |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Xingwang Xu, National University of Singapore |
| Date: |
Friday, March 17, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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MARCH 20 -25, 2006 |
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SPRING BREAK |
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MARCH 27 -31, 2006 |
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| PACM Seminar |
| Topic: |
TBA |
| Presenter: |
Scott Rickard, Electronic and Electrical Engineering, University College Dublin |
| Date: |
Monday, March 27, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
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| Algebraic Geometry Seminar |
| Topic: |
Nef but not semi-ample line bundles over finite fields |
| Presenter: |
Burt Totaro, Cambridge Univ. |
| Date: |
Tuesday, March 28, 2006, Time: 4:30 p.m., Location: Fine Hall 322 |
| Abstract: |
We give the first example of a nef line bundle L on a smooth projective variety over a finite field such that L is not semi-ample. (That is, no power of L is basepoint-free.) Our examples give a negative answer to a question by Keel. |
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| Discrete Mathematics Seminar |
| Topic: |
TBA |
| Presenter: |
Tibor Szabo, ETH |
| Date: |
Wednesday, March 29, 2006, Time: 2:15 p.m., Location: Fine 224 |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
K. Costello, Chicago University |
| Date: |
Wednesday, March 29, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
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| Topology Seminar |
| Topic: |
TBA |
| Presenter: |
Elisenda Grigsby, UC Berkeley |
| Date: |
Thursday, March 30, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Qing Jie, UC Santa Cruz |
| Date: |
Friday, March 31, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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APRIL 3 - 7, 2006 |
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| Mathematical Physics Seminar |
| Topic: |
TBA |
| Presenter: |
A. Laptev, KTH |
| Date: |
Tuesday, April 4, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
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| Operation Research and Financial Engineering Seminar |
| Topic: |
TBA |
| Presenter: |
Adrian Lewis, Cornell University |
| Date: |
Tuesday, April 4, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
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| Algebraic Geometry Seminar *** Please note special date |
| Topic: |
TBA |
| Presenter: |
M. Popa, University of Chicago |
| Date: |
Thursday, April 6, 2006, Time: 4:30 p.m., Location: TBA |
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| Topology Seminar |
| Topic: |
TBA |
| Presenter: |
Mikhail Khovanov, Columbia University |
| Date: |
Thursday, April 6, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Robert Hardt, Rice University |
| Date: |
Friday, April 7, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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APRIL 10 - 14, 2006 |
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| PACM Seminar |
| Topic: |
TBA |
| Presenter: |
Lisa Fauci, Mathematics, Tulane University |
| Date: |
Monday, April 10, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
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| PACM Seminar ***Note special date |
| Topic: |
From Maxwell demon to Brownian refrigerator |
| Presenter: |
Christian Van den Broeck, Theoretical Physics, Hasselt University, Belgium |
| Date: |
Tuesday, April 11, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
Maxwell was under the impression that it should be possible to violate the second law of thermodynamics provided one could operate on a molecular scale. This comment was the beginning of a discussion stretching over the whole of the 20th century involving outstanding physicists including Smoluchowski, Onsager, Szilard, Feynman and Landauer. The issue has now become of more than academic interest because of recent developments in nanotechnology and molecular biology. We present a simplification of the Feynman ratchet that can be studied in detail by hard disk molecular dynamics and for which an exact microscopic calculation is possible. We will show how this construction can be used as a Brownian motor but also as a Brownian heat pump and refrigerator. |
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| Mathematical Physics Seminar |
| Topic: |
TBA |
| Presenter: |
D. Buchholz, University of Goettingen |
| Date: |
Tuesday, April 11, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
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| Operation Research and Financial Engineering Seminar |
| Topic: |
TBA |
| Presenter: |
Anja Sturm, University of Delaware |
| Date: |
Tuesday, April 11, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Hubert Bray, Duke University |
| Date: |
Friday, April 14, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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APRIL 17 - 21, 2006 |
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| PACM Seminar |
| Topic: |
Turbulence and Large-scale Circulation in the Ocean and Atmosphere |
| Presenter: |
Geoff Vallis, Geosciences / Atmospheric & Oceanic Sciences, Princeton University |
| Date: |
Monday, April 17, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
The large-scale circulation is not only affected but is essentially effected by turbulent flows. This turbulence is not the small-scale turbulence that is (unfortunately) sometimes connoted by the word turbulence, but is turbulence up to the scale of the large-scale flow itself. This is largely two-dimensional, so-called geostrophic turbulence. We will discuss what is known and what is unknown about such flow, the problems of both simulating it and of understanding it, and whether these two are the same. |
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| Mathematical Physics Seminar |
| Topic: |
TBA |
| Presenter: |
Y. Peres, University of California, Berkeley |
| Date: |
Tuesday, April 18, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Yuval Peres, University of California, Berkeley |
| Date: |
Wednesday, April 19, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Mu-Tao Wang, Columbia University |
| Date: |
Friday, April 21, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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APRIL 24 - 28, 2006 |
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| Mathematical Physics Seminar |
| Topic: |
TBA |
| Presenter: |
P. Hislop, University of Kentucky |
| Date: |
Tuesday, April 25, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Yair Minsky, Yale University |
| Date: |
Wednesday, April 26, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Topology Seminar |
| Topic: |
TBA |
| Presenter: |
Andras Stipsicz, Renyi Institute of Mathematics |
| Date: |
Thursday, April 27, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Christina W. Tonnessen-Friedman, Union College |
| Date: |
Friday, April 28, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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MAY 1 - 5, 2006 |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Brian Conrad, University of Michigan |
| Date: |
Wednesday, May 3, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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