Previous Conferences & Workshops

Dec
14
2021

Computer Science/Discrete Mathematics Seminar II

An Introduction to Lifted Expander Graphs
10:30am|Simonyi Hall 101 and Remote Access

Expander graphs are sparse and yet well-connected graphs. Several applications in theoretical computer science require explicit constructions of expander graphs, sometimes even with additional structure. One approach to their construction is to...

Dec
13
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

Localization and flexibilization in symplectic geometry
Oleg Lazarev
4:00pm|Simonyi Hall 101

Localization is an important construction in algebra and topology that allows one to study global phenomena a single prime at a time. Flexibilization is an operation in symplectic topology introduced by Cieliebak and Eliashberg that makes any two...

Dec
13
2021

Members' Colloquium

A new random model for the Euler and Navier-Stokes equations and related equations
2:00pm|Simonyi Hall 101 and Remote Access

I will introduce a new model of randomly agitated equations. I will focus on the finite finite dimensional approximations (analogous to Galerkin approximations) and the two-dimensional setting. I will discuss number of properties of the models...

Dec
10
2021

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

GIT quotients and Symplectic data analysis
Urs Frauenfelder
9:15am|Remote Access

This is joint work with Agustin Moreno and Dayung Koh. The restricted three-body problem is invariant under various antisymplectic involutions. These real structures give rise to the notion of symmetric periodic orbits which simultaneously have a...

Dec
09
2021

Joint IAS/Princeton University Number Theory Seminar

The second moment of the size of the 2-Selmer group of elliptic curves
Ashvin Swaminathan
4:30pm|Fine Hall 214, Princeton University and Remote Access

We introduce a new orbit parametrization for square roots of the class of the inverse different in rings cut out by binary forms. This parametrization has many applications of interest in arithmetic statistics; for example, we use it to prove that...

Dec
09
2021

Discussions in Analysis and Geometry

The Ruelle invariant and convexity I
2:00pm|Simonyi Hall 101 and Remote Access

In this talk, I will define the Ruelle invariant of a measure preserving flow equipped with a symplectic cocycle. This is a natural dynamical quantity that measures a spacetime averaged rotation of the cocycle along the flow. I will then discuss the...