Previous Conferences & Workshops

Feb
12
2020

Mathematical Conversations

p-adic numbers in cryptography and Rocky Horror
Mark Goresky
6:00pm|Dilworth Room

This is a shameless repeat of a Math Conversations I gave about four years ago, and maybe four years before that as well, explaining 2-adic shift registers.

Feb
11
2020

Theoretical Machine Learning Seminar

Geometric Insights into the convergence of Non-linear TD Learning
Joan Bruna
12:00pm|Dilworth Room

While there are convergence guarantees for temporal difference (TD) learning when using linear function approximators, the situation for nonlinear models is far less understood, and divergent examples are known. We take a first step towards...

Feb
11
2020

Computer Science/Discrete Mathematics Seminar II

Proofs, Circuits, Communication, and Lower Bounds in Complexity Theory
Robert Robere
10:30am|Simonyi Hall 101

Many of the central problems in computational complexity revolve around proving lower bounds on the amount of resources used in various computational models. In this talk we will continue our survey of the connections between three central models...

Feb
10
2020

Analysis Seminar

On dynamical spectral rigidity and determination
Jacopo De Simoi
5:00pm|Simonyi Hall 101

Given a planar domain with sufficiently regular boundary, one can study periodic orbits of the associated billiard problem. Periodic orbits have a rich and quite intricate structure and it is natural to ask how much information about the domain is...

Feb
10
2020

Symplectic Dynamics/Geometry Seminar

Floer homotopy without spectra
Mohammed Abouzaid
3:30pm|Fine Hall 214, Princeton University

I will explain a direct way for defining the Floer homotopy groups of a (framed) manifold flow category in the sense of Cohen Jones and Segal, which does not require any sophisticated tools from homotopy theory (in particular, the notion of a...

Feb
10
2020

Members’ Seminar

Spectra of metric graphs and crystalline measures
Peter Sarnak
2:00pm|Simonyi Hall 101

The geometric optics trace formula gives the singular support of wave trace on a compact Riemannian manifold. In the case of of a one dimensional singular manifold, that is a metric (or quantum) graph, this formula is exact and yields a crystalline...

Feb
10
2020

Computer Science/Discrete Mathematics Seminar I

Paths and cycles in expanders
Michael Krivelevich
11:00am|Simonyi Hall 101

Expanders have grown to be one of the most central and studied notions in modern graph theory. It is thus only natural to research extremal properties of expanding graphs. In this talk we will adapt the following (rather relaxed) definition of...

Feb
06
2020

Joint IAS/Princeton University Number Theory Seminar

Supersingular main conjectures, Sylvester's conjecture and Goldfeld's conjecture
Daniel Kriz
4:30pm|Princeton University, Fine Hall 214

In this talk, I formulate and prove a new Rubin-type Iwasawa main conjecture for imaginary quadratic fields in which p is inert or ramified, as well as a Perrin-Riou type Heegner point main conjecture for certain supersingular CM elliptic curves...