Previous Conferences & Workshops

Feb
02
2022

Mathematical Conversations

The vision of the sets according to Brownian travelers
Svitlana Mayboroda
6:00pm|Birch Garden, Simons Hall

The harmonic measure is an important tool, which allows one to reconstruct a harmonic function from its values on the boundary. But it also admits a very simple and beautiful probabilistic interpretation: it is the probability that the path of the...

Feb
02
2022

Topics in Geometry

Quantitative Heegaard Floer cohomology and the Calabi invariant [CGHMSS] Part I: Background on $C^0$ symplectic geometry
Kai Cieliebak
2:00pm|Simonyi Hall 101 and Remote Access
Feb
02
2022

Arithmetic Groups

Profinite Completions and Representation Rigidity
Ryan Spitler
11:00am|Simonyi 101 and Remote Access

Taking up the terminology established in the first lecture, in 1970 Grothendieck showed that when two groups $(G,H)$ form a Grothendieck pair, there is an equivalence of their linear representations. For recent work showing that certain groups are...

Feb
01
2022

Seminar in Analysis and Geometry

Euler flows with local energy dissipation
Hyunju Kwon
2:00pm|Simonyi Hall 101 and Remote Access

The incompressible 3D Euler equations have total kinetic energy conservation for smooth (spatially periodic) solutions. In the recent resolution of the Onsager conjecture by Isett, on the other hand, below certain threshold Hölder regularity, Euler...

Feb
01
2022

Computer Science/Discrete Mathematics Seminar II

Bounds for subsets of $\mathbb{F}_p^n \times \mathbb{F}_p^n$ without L-shaped configurations
Sarah Peluse
10:30am|Simonyi Hall 101 and Remote Access

I will discuss the difficult problem of proving reasonable bounds in the multidimensional generalization of Szemerédi's theorem. Most of the first talk will be spent going over Shkredov's proof of good bounds for sets lacking corners, in preparation...

Jan
31
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Legendrian ECH
Julian Chaidez
4:00pm|Simonyi Hall 101 and Remote Access

I will explain a construction of a Legendrian version of embedded contact homology (ECH) for a sutured contact manifold Y along with a collection of Legendrians L contained in the boundary. The chain complex is generated by sets of Reeb orbits and...

Jan
31
2022

Members' Colloquium

A mathematical approach to some problems in neurobiology
Lai-Sang Young
2:00pm|Simonyi Hall 101 and Remote Access

I will discuss some questions of interest in neuroscience, seen through the lens of mathematics. No prior knowledge of neuroscience is needed for this talk. Two of the most basic visual capabilities of primates are orientation selectivity, i.e., the...