Previous Conferences & Workshops

Nov
17
2021

Mathematical Conversations

Noether's Theorem in the Calculus of Variations and Hyperbolic Manifolds
Karen Uhlenbeck
6:00pm|Birch Garden, Simons Hall

I will remind the audience of Noether’s theorem in the calculus of variations and give a little of the history. An elementary application to integrals of Lagrangians defined on functions with domain a hyperbolic surface will be given, ending with a...

Nov
17
2021

Arithmetic Groups

Algebraicity/holonomicity theorems
Vesselin Dimitrov and Frank Calegari
11:00am|Simonyi 101 and Remote Access

Let $f = \sum a_n x^n \in \mathbb Q[x]$ be a power series which is also a meromorphic function in some neighborhood of the origin. The subject of the talk will be how certain conditions on $f(x)$ as a meromorphic function actually guarantee that $f...

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...