Previous Conferences & Workshops

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...

Feb
06
2020

Special Computer Science/Discrete Mathematics Seminar

Explicit rigid matrices in P^NP via rectangular PCPs
Prahladh Harsha
2:00pm|Simonyi 101

A nxn matrix M over GF(2) is said to be (r,\delta)-rigid if every matrix M' within \delta n^2 Hamming distance from M has rank at least r. A long standing open problem is to construct explicit rigid matrices. In a recent remarkable result, Alman and...

Feb
06
2020

PCTS Seminar Series: Deep Learning for Physics

Topic #1: Understanding Machine Learning via Exactly Solvable Statistical Physics Models; Topic #2: Dynamics of Generalization in Overparameterized Neural Networks
Speaker #1: Lenka Zdeborova; Speaker #2: Andrew Saxe
11:45am|Jadwin Hall, PCTS Seminar Room 407, 4th Floor

Please Note: The seminars are not open to the general public, but only to active researchers. Register here for this event: https://docs.google.com/forms/d/e/1FAIpQLScJ-BUVgJod6NGrreI26pedg8wGEyP… Abstract for talk #1: The affinity between...

Feb
06
2020

Theoretical Machine Learning Seminar - PCTS Seminar Series: Deep Learning for Physics

Understanding Machine Learning via Exactly Solvable Statistical Physics Models
Lenka Zdeborova
11:45am|Jadwin Hall PCTS Seminar Room 407 (Princeton University)

Please Note: The seminars are not open to the general public, but only to active researchers.

Register here for this event: https://docs.google.com/forms/d/e/1FAIpQLScJ-BUVgJod6NGrreI26pedg8wGEyPhh3WMDskE1hIac_Yp3Q/viewform

The affinity between...

Feb
05
2020

Mathematical Conversations

Anosov flows in 3-manifolds and the fundamental group
Rafael Potrie
6:00pm|Dilworth Room

The goal of the talk is to explain the statement and proof of a beautiful result due to Margulis (1967) later extended by Plante and Thurston (1972) that imposes restrictions on the growth of the fundamental group of 3-manifolds that support Anosov...

Feb
04
2020

Theoretical Machine Learning Seminar

Algorithm and Hardness for Kernel Matrices in Numerical Linear Algebra and Machine Learning
Zhao Song
12:00pm|Dilworth Room

For a function K : R^d x R^d -> R, and a set P = {x_1, ..., x_n} in d-dimension, the K graph G_P of P is the complete graph on n nodes where the weight between nodes i and j is given by K(x_i, x_j). In this paper, we initiate the study of when...