Events and Activities

Documentary Screening:Reel Rock 18 
Thursday, May 30, 2024
Wolfensohn Hall | 4:30 p.m.

Reel Rock 18

Immerse yourself in four new climbing films...

Description
Co-hosted by the Institute for Advanced Study and Princeton University, "Visions in Arithmetic and Beyond: Celebrating Peter Sarnak's Work and Impact" will run from June 3-7, 2024.

Organized in partnership with CMI.  We thank the following...

I will survey some applications of Ramanujan Graphs in theoretical computer science, as well as some of the work they have inspired. 

Along the way, I'll explain how they impacted the thinking and assumptions of my generation.

I'll discuss spectral gaps in the following contexts:
- d-regular graphs
- locally symmetric spaces e.g. hyperbolic manifolds
- finite dimensional unitary representations of discrete groups e.g. free groups, surface groups
 

Of particular interest are...

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...

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