MARCH 1- MARCH 3, 2006 |
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| "What is Happening in Fine Hall" Seminar ***NEW |
| Topic: |
Virasoro constraints |
| Presenter: |
Andrei Okounkov, Princeton University |
| Date: |
Wednesday, March 1, 2006, Time: 12:30 p.m., Location: Fine Hall PL |
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| Number Theory Seminar |
| Topic: |
Finite orthogonal groups and elliptic curves |
| Presenter: |
Chris Hall, University of Texas at Austin |
| Date: |
Wednesday, March 1, 2006, Time: 2:00 p.m., Location: Fine Hall 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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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
Lagrangian correspondences in monotone Floer theory and (2+1+1)-d TQFT |
| Presenter: |
C. Woodward, Rutgers University |
| Date: |
Wednesday, March 1, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
| Abstract: |
Using Floer theory one can define (a) a 2-category whose objects are monotone symplectic manifolds, 1-morphisms are Lagrangian correspondences, and 2-morphisms are Floer homology classes. and (b) a 2-functor which assigns to any monotone symplectic manifold a category, to any Lagrangian correspondence a functor, and to any Floer homology class a natural transformation. Our main result is that composition of functors for Lagrangian correspondences is isomorphic to the functor associated to the geometric composition. As an application, we construct an SU(2) Floer field theory for tangles. |
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| Department Colloquium |
| Topic: |
On functions of stationary stochastic processes |
| Presenter: |
Benjamin Weiss, Hebrew University of Jerusalem |
| Date: |
Wednesday, March 1, 2006, Time: 4:30 p.m., Location: Fine 314 |
| Abstract: |
I will discuss two kinds of results about functions of SSP. Both will involve sequences of functions $F_n(x_1^n)$ defined on the initial n varaibles of a SSP. The first concerns universal estimates for the number of upcrossings of the sequence $F_n$ leading to constructive versions of the classical limit theorems such as Doob's martingale convergence theorem, Birkhoff's ergodic theorem and the Shannon-Mcmillan-Breiman theorem. The second kind will chaacterize when such sequences can converge to isomorphism invariants of SSP. |
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| Ergodic Theory and Statistical Mechanics Seminar |
| Topic: |
Poisson-Dirichlet distribution for random Belyi surfaces. |
| Presenter: |
Alex Gamburd, IAS |
| Date: |
Thursday, March 2, 2006, Time: 2:00 p.m., Location: Fine Hall 322 |
| Abstract: |
Brooks and Makover introduced an approach to studying the global geometric quantities (in particular, the first eigenvalue of the Laplacian, injectivity radius, and diameter) of a "typical" compact Riemann surface of large genus based on compactifying finite-area Riemann surfaces associated with random cubic graphs; by a theorem of Belyi these are "dense" in the space of compact Riemann surfaces. The question as to how these surfaces are distributed in the Teichmuller spaces depends on the study of oriented cycles in random regular graphs with random orientation. Brooks and
Makover conjectured that asymptotically normalized cycles lengths follow Poisson-Dirichlet distribution. We will give an overview of Brooks-Makover approach and then give a proof of their conjecture. |
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| Algebraic Topology Seminar |
| Topic: |
Spaces of commuting elements in Lie groups |
| Presenter: |
Fred Cohen, IAS and University of Rochester |
| Date: |
Thursday, March 2, 2006, Time: 3:00 p.m., Location: Fine Hall 401 |
| Abstract: |
Basic topological properties of the space of homomorphisms Hom(\pi, G) are developed where G is a Lie group and \pi is a discrete group. Special emphasis is on the case for which \pi a finite sum of integers. |
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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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| Topology Seminar |
| Topic: |
Asymptotic behavior of Teichmuller geodesics |
| Presenter: |
Kasra Rafi, University of Connecticut |
| Date: |
Thursday, March 2, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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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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| Topology Seminar *** Please note special day and time |
| Topic: |
Twisted torus knots and distance one Heegaard splittings |
| Presenter: |
Yoav Moriah, Technion |
| Date: |
Tuesday, March 7, 2006, Time: 4:00 p.m., Location: Fine Hall 314 |
| Abstract: |
(Joint work with Eric Sedgwick) It may come as a surprise to low dimensional topologists that there is no known example of a 3-manifold with a non minimal genus Heegaard splitting of distance one. We describe an infinite family of manifolds having Heegaard splittings which are candidates to be distance one. In the process we also reveal why finding such examples is so elusive. |
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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: |
Alina 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: |
A fully polynomial time approximation scheme for a variety of stochastic asset management problems |
| Presenter: |
Diego Klabjan, University of Illinois |
| Date: |
Tuesday, March 7, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
| Abstract: |
The stochastic asset acquisition, batch replenishment, and lot-sizing problems deal with assets that change in time based on exogenous stochastic processes. We study the single asset version over a discrete finite time horizon. The computational intractability of computing an optimal policy is widely believed, and therefore approximation algorithms should be considered. Algorithms in approximate dynamic programming focus on computational efficiency and convergence; meanwhile, our focus is in providing relative bounds on the quality of the resulting policy. To the best of our knowledge, this is the first work that develops a fully polynomial time approximation scheme for these problems. In other words, for fixed K>0, we design an algorithm polynomial in the size of the problem and in 1/K, and that finds a policy that is within a factor 1+K of the value of an optimal policy. In addition, we formally prove that for the lot-sizing problem finding an optimal policy is intractable in the standard sense. |
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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: |
Introduction to double affine Hecke algebras |
| Presenter: |
Alexei Oblomkov, Princeton University and IAS |
| Date: |
Wednesday, March 8, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
| Abstract: |
Double affine Hecke algebras (DAHAs) were introduced by Cherednik at the beginning of the 1990s to prove Macdonald's conjectures on orthogonal polynomials. Later it turned out that DAHA's are useful in many other areas of mathematics, including the theory of Calogero-Moser varieties (Etingof, Ginzburg), quiver varieties (Etingof, Gan, Ginzburg, O.), and quantization of the certain algebraic varieties (Etingof, Rains, O.). I will give a definition of DAHAs and describe their key properties. In the second part of the talk I will give an overview their applications. |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Nikita Nekrasov, IHES |
| Date: |
Wednesday, March 8, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Ergodic Theory and Statistical Mechanics Seminar |
| Topic: |
Interval exchange maps, renormalisation and continued fractions |
| Presenter: |
Stefano Marmi, Universita di
Piza and Princeton University |
| Date: |
Thursday, March 9, 2006, Time: 2:00 p.m., Location: Fine Hall 322 |
| Abstract: |
Interval exchange maps are characterized by combinatorial and metric data.
They arise naturally as generalizations of rotations and as first return maps of linear flows on translation
surfaces.
The analysis of first return times on an interval (renormalisation) leads to several generalisations of the classical continued fraction algorithm (Rauzy, Veech, Zorich). A further acceleration of these schemes can be used to characterise a class of interval exchange maps of ?Roth type? for which the cohomological equation can be solved.
(the seminar is based joint work with Pierre Moussa and Jean-Christophe Yoccoz). |
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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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| Topology Seminar |
| Topic: |
Braid groups and homotopy groups |
| Presenter: |
Fred Cohen, IAS and University of Rochester |
| Date: |
Thursday, March 9, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
This expository talk based on joint work with Jon Berrick, Yan-Loi Wong and Jie Wu addresses connections between Artin's braid groups, Vassiliev invariants and homotopy groups. |
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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: |
Counting curves in 3-folds: a case of gauge/string duality in algebraic geometry |
| Presenter: |
Andrei Okounkov, Princeton University |
| Date: |
Tuesday, March 14, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
| Abstract: |
This will be a nontechnical discussion of a conjecture about algebraic curves in 3-folds proposed by Maulik, Nekrasov, Pandharipande, and myself a few years ago and of the mathematical progress toward it so far. |
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| Operation Research and Financial Engineering Seminar |
| Topic: |
Inhomogeneous dependency modelling with time varying copulae
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| Presenter: |
Wolfgang Hürdle, Humboldt-Universitüt zu Berlin |
| Date: |
Tuesday, March 14, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
| Abstract: |
Value-at-Risk (VaR) of a portfolio is determined by the multivariate distribution of risk factor increments. The RiskMetrics approach, a widely used methodology for
VaR estimation, is based on the assumption of multivariate normality. This paper
performs a better method for VaR estimation. The distribution of returns is modelled
by copulae with adaptively estimated time varying parameters. The copula approach
frees the modelling from the usual normality assumptions resulting in multivariate
distributions that better describe the empirical characteristics of financial returns. The
adaptive estimation is based on the assumption of local homogeneity: for every time
point there exists an interval of time homogeneity in which the copula parameter can be
well approximated by a constant. This interval is recovered from the data using local
change point analysis. For a stock portfolio, copulae with time varying parameters are
estimated and the VaR simulated accordingly. Backtesting underlines the improved
performance of adaptive time varying copulae.
JEL classification: C 14, AMS (2000) Subject Classification : 62 M 10, 62 P 20
Keywords: Value-at-Risk, time varying copula, adapive estimation |
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| "What is Happening in Fine Hall" Seminar |
| Topic: |
Conformal invariants associated with a measure |
| Presenter: |
Alice Chang, Princeton University |
| Date: |
Wednesday, March 15, 2006, Time: 12:30 p.m., Location: Fine Hall PL |
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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: |
First order definability of graphs |
| Presenter: |
Oleg Pikhurko, Carnegie Mellon University |
| Date: |
Wednesday, March 15, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
See http://www.math.princeton.edu/~bsudakov/pikhurko2005-2006.pdf |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
Introduction to double affine Hecke algebras |
| Presenter: |
Rahul Pandharipande, Princeton University |
| Date: |
Wednesday, March 15, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Avraham Soffer, Rutgers University |
| Date: |
Wednesday, March 15, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Analysis Seminar |
| Topic: |
Convergence of trigonometric series |
| Presenter: |
Sergey Tikhonov, Centre de Recerca Matematica |
| Date: |
Thursday, March 16, 2006, Time: 4:00 p.m., Location: Fine Hall 322 |
| Abstract: |
We discuss three new convergence criteria (for p=\infty, 1<p<\infty, and p=1) of belonging of sums of trigonometric series to L_p. One-dimensional and multi-dimensional cases are examined. We also study Hardy-Littlewood type theorem for multiple trigonometric and Walsh series in L_p with Muckenhoupt-type weights. |
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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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| Topology Seminar *** Please note special date |
| Topic: |
TBA |
| Presenter: |
Richard Rimanyi, UNC Chapel Hill |
| Date: |
Tuesday, March 28, 2006, Time: 4:30 p.m., Location: Fine 314 |
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| Discrete Mathematics Seminar |
| Topic: |
Making, Breaking, Avoiding, Enforcing |
| Presenter: |
Tibor Szabo, ETH |
| Date: |
Wednesday, March 29, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
See http://www.math.princeton.edu/~bsudakov/szabo2005-2006.pdf |
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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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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Gang Tian, Princeton University |
| Date: |
Wednesday, March 29, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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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: |
Hardy inequalities for many particles |
| Presenter: |
Ari Laptev, KTH |
| Date: |
Tuesday, April 4, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
| Abstract: |
We prove some inequalities of Hardy type for many particles. In particular, we show how introducing Aharonov-Bohm magnetic fields could give such inequalities for two-dimensional particles. It turned out that 2D Hardy inequalities hold also for fermions. |
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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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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
Michael Usher, Princeton University |
| Date: |
Wednesday, April 5, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
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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: |
Integrable models and operator algebras |
| Presenter: |
Detlev Buchholz, University of Goettingen |
| Date: |
Tuesday, April 11, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
| Abstract: |
Recently, it has been possible to establish rigorously the existence of an abundance of 1+1-dimensional relativistic quantum field theories with factorizing scattering matrices by operator-algebraic means. This novel approach, which is complementary to the advanced methods of constructive quantum field theory, settles some long-standing questions in the context of integrable models (form-factor program) and sheds new light on the problem of constructing quantum field theories. In this talk, a survey is given of the basic ideas, results and perspectives of this approach. |
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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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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
Alina Marian, Yale University |
| Date: |
Wednesday, April 12, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
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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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| Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Pierre Germain, Ecole Polytechnique, Palaiseau |
| Date: |
Thursday, April 20, 2006, Time: 4:00 p.m., Location: Fine Hall 322 |
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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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| Analysis Seminar |
| Topic: |
Optimal transportation and Ricci curvature for metric measure spaces |
| Presenter: |
Karl-Theodor Sturm, University of Bonn |
| Date: |
Thursday, April 27, 2006, Time: 4:00 p.m., Location: Fine Hall 322 |
| Abstract: |
We introduce and analyze generalized Ricci curvature bounds for
metric measure spaces (M,d,m), based on convexity properties of
the relative entropy Ent(. | m). For Riemannian manifolds,
Curv(M,d,m) \ge K if and only if Ric_M\ge K on M. For the
Wiener space, Curv(M,d,m)=1. One of the main results is that these lower
curvature bounds are stable under (e.g. measured Gromov-Hausdorff)
convergence. Moreover, we introduce a curvature-dimension condition
CD(K,N) being more restrictive than the curvature bound
Curv(M,d,m)\ge K. For Riemannian manifolds, CD(K,N) is equivalent to
Ric_M(\xi,\xi)\ge K\cdot |\xi|^2 and dim}(M)\le N.
Condition CD(K,N) implies sharp version of the
Brunn-Minkowski inequality, of the Bishop-Gromov volume comparison
theorem and of the Bonnet-Myers theorem. Moreover, it allows to
construct canonical Dirichlet forms with {Gaussian upper and lower
bounds} for the corresponding heat kernels. |
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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 |
| |
|
| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Fernando Marques, Stanford University |
| Date: |
Friday, May 5, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
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