## The relative trace formula approach to the global Gan-Gross-Prasad conjecture for unitary groups

Michal Zydor

Member, School of Mathematics

October 6, 2017

Michal Zydor

Member, School of Mathematics

October 6, 2017

Otis Chodosh

Member, School of Mathematics

October 6, 2017

Amitai Netser Zernik

Member, School of Mathematics

October 4, 2017

Behnam Neyshabur

Member, School of Mathematics

October 4, 2017

Aaron Pollack

Member, School of Mathematics

October 4, 2017

Srimathy Srinivasan

Member, School of Mathematics

October 4, 2017

Michael Lipnowski

Member, School of Mathematics

October 4, 2017

Shay Moran

Member, School of Mathematics

October 4, 2017

Avi Wigderson

Herbert H. Maass Professor, School of Mathematics

October 3, 2017

I will survey some elementary (to state!) problems on groups, matrices, and tensors, and discuss their motivations arising from several major problems in computational complexity theory. On each problem there was some exciting recent progress which may raise hope it can be resolved. No special background will be assumed.

Alexander Goncharov

Yale University; Member, School of Mathematics and Natural Sciences

October 3, 2017

According to Langlands, pure motives are related to a certain class of automorphic representations.

Can one see mixed motives in the automorphic set-up? For examples, can one see periods of mixed motives in entirely automorphic terms? The goal of this and the next lecture is to supply some examples.

We define motivic correlators describing the structure of the motivic fundamental group $\pi_1^{\mathcal M}(X)$ of a curve. Their relevance to the questions raised above is explained by the following examples.