Video Lectures

On the topology and index of minimal surfaces

February 05, 2019

For an immersed minimal surface in $R^3$, we show that there exists a lower bound on its Morse index that depends on the genus and number of ends, counting multiplicity. This improves, in several ways, an estimate we previously obtained bounding the...

video lecture

Spacetime positive mass theorem

February 05, 2019

Lan-Hsuan Huang

It is fundamental to understand a manifold with positive scalar curvature and its topology. The minimal surface approach pioneered by R. Schoen and S.T. Yau have advanced our understanding of positively curved manifolds. A very important result is...

video lecture

Non-commutative rank

February 05, 2019

Visu Makam

A linear matrix is a matrix whose entries are linear forms in some indeterminates $t_1,\dots, t_m$ with coefficients in some field $F$. The commutative rank of a linear matrix is obtained by interpreting it as a matrix with entries in the function...

video lecture

Drinfeld's lemma for schemes

February 04, 2019

Kiran Kedlaya

In the course of constructing the Langlands correspondence for GL(2) over a function field, Drinfeld discovered a surprising fact about the interaction between étale fundamental groups and products of schemes in characteristic p. We state this...

video lecture

The Sample Complexity of Multi-Reference Alignment

February 04, 2019

Philippe Rigollet

How should one estimate a signal, given only access to noisy versions of the signal corrupted by unknown cyclic shifts? This simple problem has surprisingly broad applications, in fields from aircraft radar imaging to structural biology with the...

video lecture

Near-Optimal Strong Dispersers

February 04, 2019

Dean Doron

Randomness dispersers are an important tool in the theory of pseudorandomness, with numerous applications. In this talk, we will consider one-bit strong dispersers and show their connection to erasure list-decodable codes and Ramsey graphs.

The...

video lecture

Academic Publishing: An Insider’s View

February 01, 2019

Fred Appel, Princeton University Press (Executive Editor Anthropology and Religion) Eric Henney, Basic Books (Editor) Gillian Greenough, Wiley (Executive Editor, Life and Physical Sciences) Eric Crahan, Princeton University Press (Executive Editor for His

Princeton University Press will spearhead a discussion with others in the publishing realm on the current and future state of academic publishing.

Dilworth Room, Simons Hall 12-2:00 p.m.
Suggested Audience: IAS Members and Visitors and partners...

video lecture

Upper bounds for constant slope p-adic families of modular forms

January 31, 2019

John Bergdall

This talk is concerned with the radius of convergence of p-adic families of modular forms --- q-series over a p-adic disc whose specialization to certain integer points is the q-expansion of a classical Hecke eigenform of level p. Numerical...

video lecture

Analyticity results for the Navier-Stokes Equations

January 31, 2019

Guher Camliyurt

We consider the Navier–Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy based proof for the instantaneous space-time analyticity and Gevrey class regularity of the solutions, uniformly up to the...

video lecture

The systole of large genus minimal surfaces in positive Ricci curvature

January 29, 2019

Henrik Matthiesen

We prove that the systole (or more generally, any k-th homology systole) of a minimal surface in an ambient three manifold of positive Ricci curvature tends to zero as the genus of the minimal surfaces becomes unbounded. This is joint work...