Previous Conferences & Workshops

Nov
17
2021

Character Varieties, Dynamics and Arithmetic

Dynamics on character varieties
William Goldman
10:00am|Simonyi Hall 101 and Remote Access

In these two talks, I will describe how the classification of locally homogeneous geometric structures (closely related to flat connections) leads to interesting dynamical systems.

Many interesting dynamical systems arise from the classification of...

Nov
15
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

ECH of prequantization bundles
Jo Nelson
4:00pm|Simonyi Hall 101

The 2011 PhD thesis of Farris outlined a scheme to show that the ECH of a prequantization bundle over a Riemann surface is isomorphic as a $Z/2Z$-graded group to the exterior algebra of the homology of its base. In addition to providing an overview...

Nov
15
2021

Members' Colloquium

Growth of cohomology in towers of manifolds: a topological application of the Langlands program
Mathilde Gerbelli-Gauthier
2:00pm|Simonyi Hall 101 and Remote Access

How does the dimension of the first cohomology grow in a tower of covering spaces? After a tour of examples of behaviors for low-dimensional spaces, I will focus on arithmetic manifolds. Specifically, for towers of complex hyperbolic manifolds, I...

Nov
11
2021

Joint IAS/Princeton University Number Theory Seminar

The unbounded denominators conjecture
Yunqing Tang
4:30pm|Simonyi Hall 101 and Remote Access

The unbounded denominators conjecture, first raised by Atkin and Swinnerton-Dyer, asserts that a modular form for a finite index subgroup of $SL_2(\mathbb Z)$ whose Fourier coefficients have bounded denominators must be a modular form for some...

Nov
11
2021

Discussions in Analysis and Geometry

Reading seminar on the papers of Tao on universality of the Euler equations
Cédric De Groote
2:00pm|Simonyi Hall 101 and Remote Access
We'll go through Tao's "On the universality of the incompressible Euler equation on compact manifolds".