Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Jun
03
2024

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

Integer Distance Sets
Sarah Peluse
2:30pm|Wolfensohn Hall and Remote Access

I’ll speak about new joint work with Rachel Greenfeld and Marina Iliopoulou in which we address some classical questions concerning the size and structure of integer distance sets. A subset of the Euclidean plane is said to be an integer distance...

Jun
03
2024

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

Spectral Statistics of Random Regular Graphs
Horng-Tzer Yau
4:30pm|Wolfensohn Hall and Remote Access

In this lecture, we will review recent works regarding  spectral  statistics of the normalized adjacency matrices of random  $d$-regular graphs on $N$ vertices.

Denote their eigenvalues by $\lambda_1=d/\sqrt{d-1}\geq \la_2\geq\la_3\cdots\geq \la_N$...

Jun
04
2024

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

A Refined Random Matrix Model for Function Field L-Functions
Will Sawin
10:00am|Wolfensohn Hall and Remote Access

Since work of Montgomery and Katz-Sarnak, the eigenvalues of random matrices have been used to model the zeroes of the Riemann zeta function and other L-functions. Keating and Snaith extended this to also model the distribution of values of the L...

Jun
04
2024

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

L-Functions, Integral Representations and Applications
Paul Nelson
11:50am|Wolfensohn Hall and Remote Access

We'll discuss problems where bounds for L-functions have arisen as inputs and where techniques for estimating them through their integral representations have been useful (all of which have been shaped and influenced by Peter Sarnak’s work).

Jun
04
2024

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

New Bounds for Large Values of Dirichlet Polynomials, Part 1'
James Maynard
2:30pm|Wolfensohn Hall and Remote Access

Bounds for Dirichlet polynomials play an important role in several questions connected to the distribution of primes. For example, they can be used to bound the number of zeroes of the Riemann zeta function in vertical strips, which is relevant to...

Jun
04
2024

Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact

New Bounds for Large Values of Dirichlet Polynomials, Part 2'
Larry Guth
4:30pm|Wolfensohn Hall and Remote Access

Bounds for Dirichlet polynomials play an important role in several questions connected to the distribution of primes. For example, they can be used to bound the number of zeroes of the Riemann zeta function in vertical strips, which is relevant to...

Jun
06
2024

Khusro's Qawwali

5:30pm|Wolfensohn Hall

Khusro's Qawwali 
Thursday, June 6, 2024
5:30 p.m. | Wolfensohn Hall

Ustaad Naseeruddin Saami and Saami Brothers present an evening of traditional Qawwali, the Sufi music form from South Asia. They will perform, among others, a number of original...