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APRIL 5 - 7, 2006 |
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| Number Theory Seminar |
| Topic: |
Hecke correspondences and semistable reduction of Shimura
varieties |
| Presenter: |
Teruyoshi Yoshida, Harvard University |
| Date: |
Wednesday, April 5, 2006, Time: 2:00 p.m., Location: Fine Hall 314 |
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|
| Discrete Mathematics Seminar |
| Topic: |
A p-Adic view of Abelian codes over rings |
| Presenter: |
Daniel Katz, Princeton University |
| Date: |
Wednesday, April 5, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
See http://www.math.princeton.edu/~bsudakov/katz2005-2006.pdf |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
Lefschetz fibrations and pseudoholomorphic curves |
| Presenter: |
Michael Usher, Princeton University |
| Date: |
Wednesday, April 5, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
| Abstract: |
I'll give an overview of work by Donaldson-Smith and myself aimed at gaining insight into Gromov-type invariants of symplectic four-manifolds through the use of bundles of symmetric products associated to a Lefscehtz fibration. This gives rise to new proofs of some results about embedded curves that Taubes had obtained using Seiberg-Witten theory, and also to an approach for constructing integer-valued invariants that count immersed curves with prescribed numbers of nodes. |
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| Department Colloquium |
| Topic: |
Cubic fields, and dynamics on the space of rank 3 lattices |
| Presenter: |
Akshay Venkatesh, Institute for Advanced Study and New York University |
| Date: |
Wednesday, April 5, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
Quadratic irrationals (e.g. sqrt{13}) have periodic continued fractions, which
are closely related to the arithmetic of the quadratic field Q(sqrt{13}). For cubic irrationals
and cubic fields, what is an analogue of "periodic continued fraction"? This naturally leads to
the study of the dynamics mentioned in the title. In this context, I'll explain Duke's "equidistribution theorem" for quadratic fields, and the recent analogue of this theorem for cubic fields, established in joint work with M. Einsiedler, E. Lindenstrauss and P. Michel. |
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| Operation Research and Financial Engineering Seminar ***Please note special date |
| Topic: |
Dependence Modeling, Extremes and Operational Risk |
| Presenter: |
Johanna Neslehova, University of Oldenburg |
| Date: |
Wednesday, April 5, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
| Abstract: |
In many fields of applications (finance, insurance, medicine,
reliability engineering) one is often faced with the problem of
aggregating risk measures across several underlying dependent
stochastic processes. Risk measures, like quantiles, often require the
understanding of extremal behavior of such processes. In this talk, I
will discuss several of the underlying mathematical problems and
present solutions to some of them. These results will then be applied
to a concrete example from Operational Risk. |
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|
| Ergodic Theory and Statistical Mechanics Seminar |
| Topic: |
Multifractal spectrum of SLE |
| Presenter: |
Dmiri Beliaev, Princeton University |
| Date: |
Thursday, April 6, 2006, Time: 2:00 p.m., Location: Fine Hall 322 |
| Abstract: |
I will give a short introduction to the fine structure of harmonic measure on random fractals and explain how one can compute the average multifractal spectrum of harmonic measure on the boundary of SLE. I will also discuss how the multifractal spectrum is related to the geometry of SLE and possible approaches to the open problems about the geometry of SLE. |
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| Algebraic Geometry Seminar *** Please note special date and location |
| Topic: |
GV sheaves, Fourier-Mukai, and generic vanishing theorems |
| Presenter: |
Mihnea Popa, University of Chicago |
| Date: |
Thursday, April 6, 2006, Time: 4:30 p.m., Location: Fine 214 |
| Abstract: |
The classical Kodaira and Kawamata-Viehweg vanishing theorems have very useful partial analogues, called Generic Vanishing Theorems (first discovered by Green and Lazarsfeld), when the positivity hypotheses on line bundles are weakened. I will explain how abstract Fourier-Mukai functors and homological algebra allow one to relate in a formal sense generic vanishing theorems to classical vanishing theorems. In particular I will generalize (and provide algebraic proofs of) the previously known generic vanishing results to obtain a natural weakening of Kodaira vanishing. I will also show how the same techniques produce higher rank generic vanishing on moduli spaces of sheaves considered by Mukai and Bridgeland (among others). |
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| Topology Seminar |
| Topic: |
Link homology and Soergel bimodules |
| Presenter: |
Mikhail Khovanov, Columbia University |
| Date: |
Thursday, April 6, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
We'll explain how to construct a triply-graded link homology theory with the HOMFLY polynomial as the Euler characteristic from complexes of Soergel bimodules. |
| |
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| Geometric Analysis Seminar |
| Topic: |
Bubbling limits for maps between manifolds
|
| Presenter: |
Robert Hardt, Rice University |
| Date: |
Friday, April 7, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
| Abstract: |
In passing to a limit of an energy-bounded sequence of smooth mappings of manifolds, the energy may drop. In many variational problems with an energy of critical dimension (e.g. minimal surfaces, harmonic maps, Yang-Mills) the drop is accounted for by finitely many rescaled objects, called "bubbles". In super-critical dimensions, the total bubbled object has higher dimension, e.g. there may be a curve of bubbles associated with a limit of harmonic maps of a 3-manifold. In work with Tristan Riviere (ETH), we study the structure of bubbles of sequences of maps and relations with the homotopy of the target. We will show how the boundary of the bubbled object corresponds to the topological part of the singular set of the limit map. This is relevant for the question of the density of continuous maps in classes of Sobolev (that is, finite p energy) maps and is related to work of Bethuel, Lin, Hang, and others. A rough motivating question is "How much energy is required to produce nontrivial topology?" Our work treats bubbles coming from the rational part of the homotopy of the target map as well as a few cases involving torsion. Higher order energies lead to new problems. |
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APRIL 10 - 14, 2006 |
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| PACM Seminar |
| Topic: |
Spirochetes and spermatozoa: Fluid dynamic models of microorganism motility |
| Presenter: |
Lisa Fauci, Mathematics, Tulane University |
| Date: |
Monday, April 10, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
The observed swimming behavior of a motile microorganism is the result of a complex interplay between mechanisms of internal force generation, the passive elastic properties of its structure, and a surrounding viscous fluid. In this talk, we will focus on two very different types of microorganisms: the spirochetes, which are a type of bacteria characterized by an efficient mode of motility that allows them to screw through viscous fluids and mucosal surfaces, and spermatozoa, that undulate as a result of the action of thousands of molecular motors positioned along the flagellum. We will present mathematical and computational models that couple the internal force generating mechanisms of these microorganisms with external fluid mechanics. We will describe our methodology, which includes both the method of regularized Stokeslets and the immersed boundary method. We will discuss recent successes as well as challenges associated with these models. |
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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: |
Static and Dynamic Variational Preferences |
| Presenter: |
Massimo Marinacci, Universita' di Torino |
| Date: |
Tuesday, April 11, 2006, Time: 4:30 p.m., Location: Room E-209, Engineering Quad |
| Abstract: |
We introduce and axiomatize static and dynamic variational preferences, a new class of preferences that includes as special cases the multiple priors preferences of Gilboa and Schmeidler, the multiplier preferences of Hansen and Sargent, and the mean-variance preferences of Markowitz and Tobin. |
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| Number Theory Seminar |
| Topic: |
Singular moduli |
| Presenter: |
Stephen Kudla, Institute for Advanced Study |
| Date: |
Wednesday, April 12, 2006, Time: 2:00 p.m., Location: Fine Hall 314 |
| Abstract: |
In this lecture, I will describe some results from the
thesis of Jarad Schofer, (Maryland, 2005), which provide a
generalization of the Gross-Zagier factorization of singular moduli
for arbitrary Borcherds forms. After a review of the construction of
Borcherds forms in an adelic setting and their general properties,
I will explain how the factorization formula can be obtained by
applying a seesaw identity, the Siegel-Weil formula, Maass operators
and a Stokes theorem calculation. |
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|
| Discrete Mathematics Seminar |
| Topic: |
Laplacians, domination numbers, and hypergraph matching |
| Presenter: |
Roy Meshulam, Technion and IAS |
| Date: |
Wednesday, April 12, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
See http://www.math.princeton.edu/~bsudakov/meshulam2005-2006.pdf |
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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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|
| Ergodic Theory and Statistical Mechanics Seminar |
| Topic: |
Critical exponents for dynamical systems |
| Presenter: |
Omri Sarig, Pennsylvania State University |
| Date: |
Thursday, April 13, 2006, Time: 2:00 p.m., Location: Fine Hall 322 |
| Abstract: |
In statistical physics, high-order phase transitions are often
accompanied by a power law singularity for the free energy (the exponent
in this law is the "critical exponent" mentioned in the title). In the
theory of dynamical systems free energy is replaced by an object called
"topological pressure". I will describe dynamical and stochastic
implications of a power law singularity for the topological pressure in
the context of (one-dimensional) countable Markov shifts. As in the
physical analogue, these include breakdown of the central limit theorem
and infinite correlation length for the equilibrium measure of the
critical parameter. |
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| Topology Seminar |
| Topic: |
Geometry of Heegaard Splittings |
| Presenter: |
Juan Souto, University of Chicago |
| Date: |
Thursday, April 13, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
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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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| Geometric Analysis Seminar |
| Topic: |
Evolution of minimal tori in Riemannian manifolds |
| Presenter: |
Weiyue Ding, Beijing University |
| Date: |
Tuesday, April 18, 2006, Time: 4:00 p.m., Location: Fine Hall 314 |
| Abstract: |
In a
joint work with Jiayu Li, Qingyue Liu, we propose to study the
existence of minimal surfaces of gengus p>=1 in Riemannian manifolds using a L^2 gradient flow of the energy E(u, g), where g denotes conformal structures in the Teichmuller space T_p. The problem is much simpler when p=1, i.e. the surfaces are tori. In this case, we obtain results on the solvability of the Cauchy problem, blow-up of the map u(t) and degeneration of the conformal structure g(t), energy identities when blow-up or degeneration occurs, and convergence at time infinity, etc. |
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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 |
| |
| Discrete Mathematics Seminar |
| Topic: |
Shannon capacity and privileged users |
| Presenter: |
Noga Alon, Tel Aviv University and IAS |
| Date: |
Wednesday, April 19, 2006, Time: 2:15 p.m., Location: Fine 224 |
| Abstract: |
See http://www.math.princeton.edu/~bsudakov/alon2005-2006.pdf |
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| Special Seminar |
| Topic: |
Huygens' principle and hyperplane configurations |
| Presenter: |
A.P. Veselov, Loughborough, UK |
| Date: |
Wednesday, April 19, 2006, Time: 2:15 p.m., Location: Fine Hall 314 |
| Abstract: |
Huygens' principle (in the narrow Hadamard's sense) for a
second-order hyperbolic equation means that its fundamental solution is
located on the characteristic conoid. Physically this implies that a
localised disturbance will have an effect localised in time at any point.
This remarkable property holds in particular for the wave
equations in the Euclidean spaces of odd dimension starting from 3. The
description of the hyperbolic equations satisfying Huygens' principle is
known as Hadamard's problem, which still remains largely open.
The development of the theory of quantum integrable systems in the
last two decades led to a substantial progress in this old problem, which
turned out to be closely related to a new special class of hyperplane
configurations, generalizing the Coxeter arrangements. I will discuss what
is currently known about these configurations and some related
geometric structures, appeared in the theory of Frobenius manifolds and
WDVV equation. |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
M. Wijnholt, Princeton University |
| Date: |
Wednesday, April 19, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
| |
|
| 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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| Algebraic Topology Seminar |
| Topic: |
Homotopy groups of toric spaces |
| Presenter: |
Martin Bendersky, CUNY |
| Date: |
Thursday, April 20, 2006, Time: 3:00 p.m., Location: Fine Hall 401 |
| Abstract: |
I will lecture on the work of David Allen. Unstable spectral sequences will be used to determine the homotopy groups of some toric spaces through a range. |
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| Analysis Seminar |
| Topic: |
Weak-strong uniqueness for the Navier-Stokes equation |
| Presenter: |
Pierre Germain, Ecole Polytechnique, Palaiseau |
| Date: |
Thursday, April 20, 2006, Time: 4:00 p.m., Location: Fine Hall 322 |
| Abstract: |
There exist classes of strong solutions of the Navier-Stokes equation such that: if a weak solution belongs to them, it is unique. We say then that weak-strong uniqueness holds. Serrin criterion is the first example of such a result. We will discuss new results which generalize Serrin criterion. |
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| Algebraic Geometry Seminar *** Please note special date and location |
| Topic: |
TBA |
| Presenter: |
Fedor Bogomolov, New York University |
| Date: |
Thursday, April 20, 2006, Time: 4:30 p.m., Location: Fine 314 |
| |
|
| 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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| PACM Seminar |
| Topic: |
Coherence in stochastic dynamical systems |
| Presenter: |
Lee Deville, Courant Institute of Mathematical Sciences, New York University |
| Date: |
Monday, April 24, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
It is known that random perturbations to dynamical systems can be small and irrelevant, or, alternately, so large as to overwhelm the dynamics. More interesting are cases where small random perturbations introduce qualitative changes in a system without introducing significant randomness. In effect, these are generating noise-induced, yet coherent, dynamics. We will show that this phenomenon is present in a large class of dynamical systems and describe several examples in detail. The examples will include stochastically-forced ODEs and PDEs, and Markov chains. |
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| Algebraic Topology Seminar ***Please note special date and location |
| Topic: |
TBA |
| Presenter: |
Jonathan Pakianathan, University of Rochester |
| Date: |
Tuesday, April 25, 2006, Time: 3:00 p.m., Location: Fine Hall 401 |
| |
|
| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
Martin Olsson, U. Texas |
| Date: |
Tuesday, April 25, 2006, Time: 4:30 p.m., Location: Fine Hall 322 |
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|
| Mathematical Physics Seminar |
| Topic: |
TBA |
| Presenter: |
Peter Hislop, University of Kentucky |
| Date: |
Tuesday, April 25, 2006, Time: 4:30 p.m., Location: Jadwin 343 |
| |
| Algebraic Topology Seminar ***Please note special date and location |
| Topic: |
Stable Homology of Aut(F_n) |
| Presenter: |
Soren Galatius, Stanford University |
| Date: |
Wednesday, April 26, 2006, Time: 3:00 p.m., Location: Fine Hall 801 |
| Abstract: |
Let Aut(F_n) denote the automorphism group of a free group
on n generators. It is known that H_k(Aut(F_n)) is independent of n
as long as n >> k. There is a natural homomorphism from the symmetric
group S_n to Aut(F_n), I will sketch a proof that it induces an
isomorphism from H_k(S_n) to H_k(Aut(F_n)) for n >> k. An important
point of view here is that BAut(F_n) can be thought of as a moduli
space of metric graphs, i.e. graphs equipped with metrics, considered
up to isometry. |
| |
|
| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Yair Minsky, Yale University |
| Date: |
Wednesday, April 26, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| |
| Algebraic Topology Seminar |
| Topic: |
Moduli Space of Nodal curves and Homotopy Theory |
| Presenter: |
Soren Galatius, Stanford University |
| Date: |
Thursday, April 27, 2006, Time: 3:00 p.m., Location: Fine Hall 401 |
| Abstract: |
Riemann's moduli space M_g classifies isomorphism classes of
genus g Riemann surfaces (or algebraic curves). M_g is a non-compact
algebraic variety and has a natural compactification due to Deligne,
Mumford and Knudsen. A point in the compactification is an isomorphism
class of a nodal curve, ie. a Riemann surface with a certain mild kind of
singularities. Madsen and Weiss' proof of Mumford's conjecture tells much
about M_g. I will describe an attempt to understand the compactification
from a similar point of view. This is joint work with Y. Eliashberg. |
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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. |
| |
|
| 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 |
| |
| 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 |
| |
MAY 1 - 5, 2006 |
| |
| PACM Seminar |
| Topic: |
TBA |
| Presenter: |
Eric Vanden-Eijnden, Courant Institute of Mathematical Sciences, New York University |
| Date: |
Monday, May 1, 2006, Time: 4:00 p.m., Location: Fine Hall 214 |
| |
|
| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
Mark Andrea de Cataldo, Stony Brook, State University of New York |
| Date: |
Tuesday, May 2, 2006, Time: 4:30 p.m., Location: Fine Hall 322 |
| |
|
| Operation Research and Financial Engineering Seminar |
| Topic: |
Climate Risk, Securitization, and Equilibrium Bond Pricing |
| Presenter: |
Ulrich Horst, University of BC Vancouver |
| Date: |
Tuesday, May 2, 2006, Time: 4:30 p.m., Location: Friend Center Bowl 008 |
| Abstract: |
We propose a method of pricing financial securities written on non-tradable underlyings such as temperature or precipitation
levels. To this end, we analyze a financial market where agents
are exposed to financial and non-financial risk factors. The
agents hedge their financial risk in the stock market and trade a
risk bond issued by an insurance company. From the issuer's point
of view the bond's primary purpose is to shift insurance risks
related to non-catastrophic weather events to financial markets.
As such its terminal payoff and yield curve depend on an
underlying climate or temperature process whose dynamics is
independent of the randomness driving stock prices. We prove that
if the bond's payoff function is monotone in the external risk
process, it can be priced by an equilibrium approach. The
equilibrium market price of climate risk and the equilibrium price process
are characterized as solution of non-linear backward stochastic differential
equations. Transferring the BSDEs into PDEs, we represent the bond prices as
smooth functions of the underlying risk factors.
The talk is based on joint work with Matthias Muller. |
| |
|
| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
Alexander Braverman, Brown University |
| Date: |
Wednesday, May 3, 2006, Time: 3:00 p.m., Location: Fine Hall 214 |
| |
|
| Department Colloquium |
| Topic: |
Asymptotics for prime specialization over finite fields |
| Presenter: |
Brian Conrad, University of Michigan |
| Date: |
Wednesday, May 3, 2006, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
It is a classical and extremely difficult problem to prove theorems about prime values of irreducible polynomials over the integers. For example, it is still not known if there are infinitely many primes of the form n2 + 1. There is a long history of analogies between the integers and polynomials (in one variable) over a finite field, and so one can formulate an analogous problem in this other setting. It was discovered several years ago (joint work with K. Conrad and R. Gross) that there are some surprises. We illustrate the unexpected behavior by means of some explicit examples, and discuss theorems that predict these phenomena. The main goal of the talk is to motivate (by examples) and (briefly!) discuss the proofs of recent asymptotic results as the finite field and polynomial being specialized are allowed to vary; these asymptotics accord well with a general philosophy of Katz concerning limiting behavior over large finite fields and behavior over number fields. The case of characteristic 2 is not suitable for a general audience, but anyone interested can ask me about it at the colloquium dinner. |
| |
|
| Geometric Analysis Seminar |
| Topic: |
TBA |
| Presenter: |
Steve Zelditch, Johns Hopkins University |
| Date: |
Friday, May 5, 2006, Time: 3:00 p.m., Location: Fine Hall 314 |
| |
|
| Geometric Analysis Seminar ***Please note special time |
| Topic: |
TBA |
| Presenter: |
Fernando Marques, Stanford University |
| Date: |
Friday, May 5, 2006, Time: 4:00 p.m., Location: Fine Hall 314 |
| |
|
MAY 8 - 12, 2006 |
| |
|
| Operation Research and Financial Engineering Seminar |
| Topic: |
TBA |
| Presenter: |
Jan Vecer, Columbia University |
| Date: |
Tuesday, May 9, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
| |
|
MAY 15- 19, 2006 |
| |
|
| Operation Research and Financial Engineering Seminar |
| Topic: |
TBA |
| Presenter: |
Pauline Barrieu |
| Date: |
Tuesday, May 16, 2006, Time: 4:30 p.m., Location: Room E-219, Engineering Quad |
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