# Upcoming Seminars & Events

## Primary tabs

October 31, 2014
1:30pm - 2:30pm
##### On the Gromov width of polygon spaces
###### Symplectic Geometry Seminar

After Gromov’s foundational work in 1985, problems of symplectic embeddings lie in the heart of symplectic geometry. The Gromov width of a symplectic manifold $$(M, \omega)$$ is a symplectic invariant that measures, roughly speaking, the size of the biggest ball we can symplectically embed in $$(M, \omega)$$. I will discuss tecniques to compute the Gromov width of a special family of symplectic manifolds, the moduli spaces of polygons in $$\mathbb{R}^3$$ with edges of lengths $$(r_1,\ldots, r_n)$$. Under some genericity assumptions on lengths $$r_i$$, the polygon space is a symplectic manifold. After introducing this family of manifolds, I will concentrate on the spaces of 5-gons and calculate their Gromov width. This is joint work with Milena Pabiniak, IST Lisbon.

Speaker: Alessia Mandini , University of Pavia
Location:
Fine Hall 322
November 3, 2014
3:15pm - 4:30pm
##### Decouplings and applications
###### Analysis Seminar

We describe a new Fourier analytic method for estimating a wide variety of exponential sums. The talk will mainly focus on  the applications to number theory and PDEs. This is joint work  with Jean Bourgain.

Speaker: Ciprian Demeter , Indiana University
Location:
Fine Hall 314
November 3, 2014
4:30pm - 5:30pm
##### Set Oriented Numerical Methods for Dynamical Systems and Optimization
###### PACM/Applied Mathematics Colloquium

Over the last two decades so-called set oriented numerical methods have been developed in the context of the numerical treatment of dynamical systems. The basic idea is to cover the objects of interest - for instance invariant sets or invariant measures - by outer approximations which are created via multilevel subdivision techniques. At the beginning of this century these methods have been modified in such a way that they are also applicable to the numerical treatment of multiobjective optimization problems. Due to the fact that they are set oriented in nature these techniques allow for the direct computation of the entire so-called Pareto set.  In this talk recent developments in the area of set oriented numerics will be presented both for dynamical systems and optimization problems. The reliability of these methods will be demonstrated by several applications such as the approximation of transport processes in ocean dynamics, or the optimization of a cruise control with respect to energy consumption and travel distance. Moreover a new algorithmic idea will be described which allows to compute invariant sets directly by Newton's method.

Speaker: Michael Dellnitz , University of Paderborn, Germany
Location:
Fine Hall 214
November 5, 2014
2:00pm - 3:00pm
##### Fluctuations of the stationary Kardar-Parisi-Zhang equations
###### Probability Seminar

Up to a random height shift, two-sided Brownian motion is invariant for the Kardar-Parisi-Zhang equation. In this talk we describe recent results with Borodin, Ferrari and Veto through which we use Macdonald processes and the geometric Robinson-Schensted-Knuth correspondence to compute the distribution of this height shift and demonstrate cube-root fluctuations in large time, with a universal limit law. This also relates to the two-point correlation function and super-diffusivity of the stochastic Burgers equation.-

Speaker: Ivan Corwin, Clay Research Institute, Columbia University, Institut Henri Poincare
Location:
Fine Hall 322
November 6, 2014
3:00pm - 4:00pm
##### TBA - Holm
###### Algebraic Topology Seminar
Speaker: Tara Holm , Cornell and the IAS
Location:
Fine Hall 314
November 6, 2014
4:30pm - 5:30pm
##### TBA - Tiep
###### Princeton University/IAS Number Theory Seminar
Speaker: Pham Tiep , Harvard University / University of Arizona
Location:
IAS Room S-101
November 6, 2014
4:30pm - 5:30pm
##### TBA - Hou
###### Topology Seminar
Speaker: Yong Hou, Zanty Electronics
Location:
Fine Hall 314
November 6, 2014
4:30pm - 6:00pm
##### Thin knotted vortex tubes in stationary solutions to the Euler equation
###### Analysis of Fluids and Related Topics

In this talk we will discuss the proof of the existence of thin vortex tubes for stationary solutions to the incompressible Euler equation in R^3. More precisely, given a finite collection of (possibly linked and knotted) disjoint thin tubes in R^3, we will show that they can be transformed using a small diffeomorphism into a set of vortex tubes of a Beltrami field that tends to zero at infinity.

Speaker: Alberto Enciso, ICMAT - Madrid
Location:
Fine Hall 322
November 7, 2014
1:30pm - 2:30pm
##### TBA - Müller
###### Symplectic Geometry Seminar
Speaker: Stefan Müller , UIUC
Location:
IAS Room S-101
November 7, 2014
3:00pm - 4:00pm
##### TBA - Lee
###### Differential Geometry & Geometric Analysis Seminar
Speaker: John Lee, University of Washington, Seattle
Location:
Fine Hall 314
November 7, 2014
4:15pm - 5:15pm
##### TBA - Chodosh
###### Differential Geometry & Geometric Analysis Seminar
Speaker: Ottis Chodosh, Stanford University
Location:
Fine Hall 314
November 10, 2014
3:15pm - 4:30pm
##### TBA - Nahmod
###### Analysis Seminar
Speaker: Andrea Nahmod, University of Massachusetts Amherst
Location:
Fine Hall 314
November 10, 2014
4:30pm - 5:30pm
##### The physical and mathematical structure of images
###### PACM/Applied Mathematics Colloquium

Images are both maps of continuous physical phenomena and discrete mathematical objects. While Shannon established the fundamental relationship between physical and mathematical images over half a century ago, considerable further progress in understanding this relationship has been achieved in the past quarter century through the development of wavelets and compressive measurement. This talk reviews simple physical models for the physical to mathematical transformation and discusses strategies for coding the physical interface to increase measurement efficiency. We specifically discuss novel sampling strategies for x-ray tomography, diffraction tomography and focal imaging.

Speaker: David Brady , Duke University - Electrical & Computer Engineering
Location:
Fine Hall 214
November 12, 2014
2:00pm - 3:00pm
##### Infinite Dimensional Stochastic Differential Equations for Dyson's Brownian Motion
###### Probability Seminar

Dyson's Brownian Motion (DBM) describes the evolution of the spectra of certain random matrices, and is governed by a system of stochastic differential equations (SDEs) with a singular, long-range interaction. In this talk I will outline a construction of the strong solution of the infinite dimensional SDE that corresponds to the bulk limit of DBM. This is a pathwise construction that allows an explicit space with generic configurations. The ideas used further lead to a proof of the pathwise uniqueness of the solution and of the convergence of the finite to infinite dimensional SDE.

Speaker: Li-Cheng Tsai, Stanford University
Location:
Fine Hall 322
November 13, 2014
2:00pm - 3:30pm
##### TBA - Hooper
###### Ergodic Theory & Statistical Mechanics
Speaker: Pat Hooper , City College of New York, City University of New York
Location:
Fine Hall 601
November 13, 2014
3:00pm - 4:00pm
##### TBA - Scott
###### Discrete Mathematics Seminar
Speaker: Alex Scott , Oxford University
Location:
Fine Hall 224
November 13, 2014
4:30pm - 5:30pm
##### TBA - Neumann
###### Topology Seminar
Speaker: Walter Neumann , Columbia University
Location:
Fine Hall 314
November 13, 2014
4:30pm - 6:00pm
##### TBA - Germain
###### Analysis of Fluids and Related Topics
Speaker: Pierre Germain , NYU
Location:
Fine Hall 322
November 17, 2014
3:15pm - 4:30pm
##### TBA - Chen
###### Analysis Seminar
Speaker: Xuwen Chen , Brown University
Location:
Fine Hall 314
November 17, 2014
4:30pm - 5:30pm
##### The life of a vortex knot: Linking coiling and twisting across scales
###### PACM/Applied Mathematics Colloquium

This is a joint talk with PACM/MAE.  Can you take a vortex loop - akin to a smoke ring in air - and tie it into a knot or a link? The possibility of such knottiness in a fluid has fascinated physicists and mathematicians ever since Kelvin’s 'vortex atom' hypothesis, in which the atoms of the periodic table were hypothesized to correspond to closed vortex loops of different knot types.  More recently, the knottiness of a fluid has re-emerged as a  conserved quantity in many idealized situations (such as Euler fluids and ideal plasmas).  I will tell of how to make a vortex knot and link in water, in the wave function of a superfluid (on a computer) and of what happens thence. In particular I will talk about how linking coiling and twisting interplay across scales.

Speaker: William Irvine , University of Chicago
Location:
Fine Hall 214