Upcoming Seminars & Events

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April 24, 2014
12:30pm - 1:30pm
Formation of Trapped Surfaces in General Relativity

An interesting question in general relativity is the dynamical formation of black holes for Einstein vacuum equation. In this talk, we will show that a trapped surface can dynamically form from arbitrary dispersed initial data in vacuum.

Speaker: An Xinliang , Princeton University
Location:
Fine Hall 314
April 24, 2014
2:00pm - 3:30pm
Some recent results on the Euler-Poincare model
Ergodic Theory & Statistical Mechanics

Euler-Poincare equation was introduced by Holm, Marsden and Ratiu. It can be viewed as a natural multi-dimensional generalization of the popular Camassa-Holm equations. I will discuss some recent results on this model.

Speaker: Dong Li , University of British Columbia
Location:
Fine Hall 601
April 24, 2014
3:00pm - 4:00pm
Homological stability of configurations spaces
Algebraic Topology Seminar

Church   [Homological stability for configuration spaces of manifolds, Invent. Math. 188 (2012),465--504] used representation stability to prove that the space of configurations of distinct unordered points in a closed manifold exhibit rational homological stability.A second proof was also given by Randal-Williams [Homological stability for unordered configuration spaces, Q. J. Math.

Speaker: Martin Bendersky, City University of New York (CUNY)
Location:
Fine Hall 214
April 24, 2014
4:30pm - 5:30pm
TBA - Boxer
Princeton University/IAS Number Theory Seminar
Speaker: George Boxer , Harvard University
Location:
IAS Room S-101
April 24, 2014
4:30pm - 6:00pm
The structure of almost linear Boolean functions
Discrete Mathematics Seminar

A Boolean function f: {0,1}^n -> {0,1} is "linear" if it is a linear combination of its inputs. It is a simple exercise to show that a linear Boolean function depends on at most one coordinate. Friedgut, Kalai and Naor showed that if f is "almost" linear then it is "close" to a function depending on at most one coordinate.

Speaker: Yuval Filmus , IAS
Location:
Fine Hall 224
April 24, 2014
4:30pm - 5:30pm
Elliptic Curves and Knot Homology
Topology Seminar

Given a smooth elliptic curve E over the complex numbers we construct a functor-valued invariant of tangles, extending a known braid group action on the derived category of coherent sheaves on E^n.  The invariant associated to a closed link L is related to odd Khovanov homology, and can be described in terms of the double cover branched over L.

Speaker: Lucas Culler, MIT
Location:
Fine Hall 314
April 24, 2014
4:30pm - 5:30pm
On active scalar equations with nonlocal velocity.
Analysis of Fluids and Related Topics

The problem of finite-time singularity versus global regularity for active scalar equations with nonlocal velocities has attracted much attention in recent years. In this talk, I will discuss some recent results in this direction.

Speaker: Hongjie Dong , Brown University
Location:
Fine Hall 322
April 25, 2014
3:00pm - 4:00pm
Structure of measures in Lipschitz differentiability spaces
Differential Geometry & Geometric Analysis Seminar

This talk will present results showing the equivalence of two very different ways of generalising Rademacher's theorem to metric measure spaces. The first was introduced by Cheeger and is based upon

Speaker: David Bate , University of Chicago
Location:
Fine Hall 314
April 28, 2014
2:00pm - 3:00pm
Inversion of adjunction for rational and Du Bois singularities
Algebraic Geometry Seminar

Please note special day, time and location.   This is joint work with Karl Schwede. We prove that Du Bois singularities are invariant under small deformation and that the relationship of the notions of rational and Du Bois singularities resembles that of canonical and log canonical varieties.

Speaker: Sándor Kovács , University of Washington
Location:
Fine Hall 401
April 28, 2014
3:15pm - 4:15pm
The pointwise convergence of Fourier Series near $L^1$
Analysis Seminar

In this talk we discuss some recent developments on the old question regarding the pointwise behavior of Fourier Series near $L^1$. We start with several brief historical remarks on the subject, describing the context and the formulation of the main problem(s).

Speaker: Victor Lie , Purdue University
Location:
Fine Hall 314
April 28, 2014
4:30pm - 5:30pm
Coarsening to Chaos-Stabilized Fronts in Pattern Formation with Galilean Invariance
PACM/Applied Mathematics Colloquium

The presence of continuous symmetries, or coupling with a large-scale mode or mean flow, can strongly influence the dynamics of pattern-forming systems.  After reviewing some aspects of pattern formation and spatiotemporal chaos in one-dimensional Kuramoto-Sivashinsky-type equations, I will focus on a 6th-order analogue, the Nikolaevskiy PDE, a model for short-wave pattern formation with Galile

Speaker: Ralf Wittenberg , Simon Fraser University
Location:
Fine Hall 214
April 30, 2014
2:30pm - 3:30pm
Special Probability Seminar: Cover times, blanket times, and the Gaussian free field
Special Event

PLEASE CLICK ON SEMINAR TITLE FOR COMPLETE ABSTRACT. The cover time of a finite graph G (the expected time for simple random walk to visit all vertices) has been extensively studied, yet a number of fundamental questions concerning cover times have remained open: Aldous and Fill (1994) asked whether there is a deterministic polynomial-time algorithm that computes the cover time up to an O(1) factor

Speaker: Yuval Peres , Microsoft Research
Location:
Fine Hall 314
April 30, 2014
3:00pm - 4:00pm
Talk #1: TBA - Lin
Joint Princeton Rutgers Geometric PDEs Seminar
Speaker: Fanghua Lin , NYU
Location:
Fine Hall 214
April 30, 2014
4:15pm - 5:15pm
Talk #2: TBA - Kleiner
Joint Princeton Rutgers Geometric PDEs Seminar
Speaker: Bruce Kleiner , NYU
Location:
Fine Hall 214
April 30, 2014
4:30pm - 5:30pm
Solving Boltzmann Equation, Green's Function Approach.
Department Colloquium

PLEASE CLICK ON SEMINAR TITLE FOR COMPLETE ABSTRACT. We will describe an quantitative approach for solving the Boltzmann equation in the kinetic theory. The approach has been developed, with Shih-Hsien Yu, in the past decade and proven effective in understanding some of the important physical phenomena.

Speaker: Taiping Liu, Stanford University
Location:
Fine Hall 314
May 1, 2014
2:00pm - 3:30pm
On the Analogs of Szego Theorem for Ergodic Operators
Ergodic Theory & Statistical Mechanics

We consider an asymptotic setting for ergodic operators generalizing that for the Szego theorem on the asymptotics of determinants of finite-dimensional restrictions of the Toeplitz operators. The setting is formulated via a triple consisting of an ergodic operator and two functions, the symbol and the test function.

Speaker: Leonid Pastur , Institute for Low Temperature Physics, Kharkiv, Ukraine
Location:
Fine Hall 601
May 1, 2014
3:00pm - 4:00pm
TBA - Sarkar
Algebraic Topology Seminar
Speaker: Soumen Sarkar, University of Regina
Location:
Fine Hall 214
May 1, 2014
4:30pm - 6:00pm
The Green-Tao Theorem and a Relative Szemerédi Theorem
Discrete Mathematics Seminar

The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. In this talk, I will explain the ideas of the proof and recent joint work with David Conlon and Yufei Zhao simplifying the proof.

Speaker: Jacob Fox , MIT
Location:
Fine Hall 224
May 1, 2014
4:30pm - 5:30pm
Surface groups, representation spaces and rigidity
Topology Seminar

Let S_g denote the closed, genus g surface. In this talk, we'll discuss the space of flat circle bundles over S_g, also known as the "representation space" Hom(pi_1(S_g), Homeo+(S^1)). The Milnor-Wood inequality gives a lower bound on the number of components of this space (4g-3), but until very recently it was not known whether this bound was sharp.

Speaker: Kathryn Mann, University of Chicago
Location:
Fine Hall 314
May 1, 2014
4:30pm - 5:30pm
Geometric Structure And The Local Langlands Conjecture
Princeton University/IAS Number Theory Seminar

PLEASE CLICK ON SEMINAR TITLE FOR COMPLETE ABSTRACT. Let G be a connected split reductive p-adic group. Examples are GL(n,F ), SL(n, F ), SO(n, F ), Sp(2n, F ), PGL(n, F ) where n can be any positive integer and F can be any finite extension of the field Q_p of p-adic numbers.

Speaker: Paul Baum , Penn State University
Location:
Fine Hall 214