Previous Conferences & Workshops

Feb
09
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
09
2022

Arithmetic Groups

From $PSL_2$ representation rigidity to profinite rigidity
Alan Reid and Ben McReynolds
11:00am|Simonyi 101 and Remote Access

In the first part of this talk, we take the ideas of the second talk and focus on the case of (arithmetic) lattices in $PSL(2,R)$ and $PSL(2,C)$. The required representation rigidity is achieved by what we call Galois rigidity. In particular if $...

Feb
08
2022

Seminar in Analysis and Geometry

Totally nonparallel immersions
Michael Harrison
2:00pm|Simonyi Hall 101 and Remote Access

An immersion from a smooth n-dimensional manifold $M$ into $R^q$ is called totally nonparallel if, for every pair of distinct points $x$ and $y$ in $M$, the tangent spaces at $f(x)$ and $f(y)$ contain no parallel lines. The simplest example is the...

Feb
07
2022

Members' Colloquium

PDEs vs. Geometry: analytic characterizations of geometric properties of sets
Svitlana Mayboroda
2:00pm|Simonyi Hall 101 and Remote Access

In this talk we will discuss connections between the geometric and analytic/PDE properties of sets. The emphasis is on quantifiable, global results which yield true equivalence between the geometric and PDE notions in very rough scenarios, including...

Feb
03
2022

Joint IAS/Princeton University Number Theory Seminar

Motivic action on coherent cohomology of Hilbert modular varieties
Aleksander Horawa
4:30pm|Simonyi Hall 101 and Remote Access

A surprising property of the cohomology of locally symmetric spaces is that Hecke operators can act on multiple cohomological degrees with the same eigenvalues. We will discuss this phenomenon for the coherent cohomology of line bundles on modular...

Feb
03
2022

Topics in Analysis

Instability and non-uniqueness in fluid dynamics - Part III: Non-uniqueness of Leray solutions
Elia Bruè
2:00pm|Simonyi Hall 101 and Remote Access