Previous Conferences & Workshops

Dec
17
2021

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

Three 20 minute research talks
Wenyuan Li, Jakob Hedicke and Johan Asplund
9:15am|Remote Access

Wenyuan Li (Northwestern), Estimating Reeb chords using microlocal sheaf theory

We show that, for closed Legendrians in 1-jet bundles, when there is a sheaf with singular support on the Legendrian, then (1) its self Reeb chords are bounded from...

Dec
15
2021

Lectures in Analysis and Geometry

The Ruelle invariant and convexity II
Julian Chaidez
2:00pm|Simonyi Hall 101 and Remote Access

In this talk, I will explain how the Ruelle invariant of a symplectomorphism and the Ruelle invariant of a Reeb flow are related via the open book construction. As an application, I will construct examples of Reeb flows on the sphere that are...

Dec
15
2021

Special Lecture

Can you hear the will of the people in the vote? The mathematics and policy of quantifying gerrymandering
Jonathan Mattingly
12:00pm|Dilworth Room

The US political system is built on representatives chosen by geographically localized regions. This presents the government with the problem of designing these districts. Every ten years, the US census counts the population and new political...

Dec
15
2021

Arithmetic Groups

Commutators in SL_2 and Markoff Surfaces
Chen Meiri
11:00am|Simonyi 101 and Remote Access

We discuss a local to global profinite principle for being a commutator in some arithmetic groups. Specifically we show that $SL_2(Z)$ satisfies such a principle, while it can fail with infinitely many exceptions for $SL_2(Z[1/p])$. The source of...

Dec
15
2021

Character Varieties, Dynamics and Arithmetic

The dynamics of Aut(Fn) actions on group presentations and representations
Alexander Lubotzky
10:00am|Simonyi Hall 101 and Remote Access

Several different areas of group theory, topology, and geometry have led to the study of the action of $Aut(Fn)$—the automorphism group of the free group on $n$ generators—on $Hom(Fn, G)$ when $G$ is either finite, compact or a simple Lie group. We...

Dec
14
2021

Seminar in Analysis and Geometry

Floer homology of Hamiltonians supported on subsets
Shira Tanny
2:00pm|Simonyi Hall 101 and Remote Access

Floer homology is a fundamental construction relating dynamical properties of Hamiltonian flows on symplectic manifolds to the topology of the manifold. Although this construction is global in nature, when the Hamiltonian flow is supported on a...