Previous Conferences & Workshops

Apr
29
2022

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Knots, minimal surfaces and J-holomorphic curves
Joel Fine
9:15am|Remote Access

Let $K$ be a knot or link in the 3-sphere, thought of as the ideal boundary of hyperbolic 4-space, $H^{4}$. The main theme of my talk is that it should be possible to count minimal surfaces in $H^{4}$ which fill $K$ and obtain a link invariant. In...

Apr
28
2022

Joint IAS/Princeton University Number Theory Seminar

Modular forms of half-integral weight on exceptional groups
Spencer Leslie
4:30pm|Remote via Zoom

Half-integral weight modular forms are classical objects with many important arithmetic applications.  In terms of automorphic representations, these correspond to objects on the metaplectic double cover of SL(2).  In this talk, I will outline a...

Apr
28
2022

Topics in Analysis

Positive Lyapunov exponents and mixing in stochastic fluid flow. Part II
2:00pm|Simonyi Hall 101 and Remote Access

In this three-part lecture series, we will present a series of works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic mixing and enhanced dissipation properties of a passive tracer subject to the motion of an ergodic Markovian flow of...

Apr
27
2022

Mathematical Conversations

The sharp Liouville theorem for conformal maps
6:00pm|Birch Garden, Simons Hall

In 1850, Liouville proved a rather surprising fact: any $C^{3}$ conformal map in a three-dimensional domain is a Möbius transformation; this is in stark contrast with the two-dimensional case, where conformal maps abound. Since then, Liouville's...

Apr
26
2022

Seminar in Analysis and Geometry

Global well-posedness for the 2D one-phase Muskat problem
2:00pm|Simonyi Hall 101 and Remote Access

I will present a recent result jointly with Francisco Gancedo (Universidad de Sevilla) and Huy Q. Nguyen (University of Maryland), in which we obtained the global well-posedness for the 2D one-phase Muskat problem with arbitrary large Lipschitz...

Apr
22
2022

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

From Floer to Hochschild via matrix factorisations
Jack Smith
9:15am|Remote Access

The Hochschild cohomology of the Floer algebra of a Lagrangian $L$, and the associated closed-open string map, play an important role in the generation criterion for the Fukaya category and in deformation theory approaches to mirror symmetry. I will...

Apr
21
2022

Joint IAS/Princeton University Number Theory Seminar

Galois groups of random integer polynomials
4:30pm|Remote Access and Fine 214

Of the $(2H+1)^n$ monic integer polynomials $f(x)=x^n+a_1 x^{n-1}+\cdots+a_n$ with $\max\{|a_1|,\ldots,|a_n|\}\leq H$, how many have associated Galois group that is not the full symmetric group $S_n$?  There are clearly $\gg H^{n-1}$ such...

Apr
21
2022

Topics in Analysis

Positive Lyapunov exponents and mixing in stochastic fluid flow. Part I
2:00pm|Simonyi Hall 101 and Remote Access

In this three-part lecture series, we will present a series of works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic mixing and enhanced dissipation properties of a passive tracer subject to the motion of an ergodic Markovian flow of...