Categorical actions in geometry and representation theory
Clemens Koppensteiner
Member, School of Mathematics
September 29, 2017
The quantum best separable state problem and classical connections
Pravesh Kothari
Member, School of Mathematics
September 29, 2017
Crossing the logarithmic barrier for dynamic boolean data structure lower bounds
Omri Weinstein
Columbia University
October 2, 2017
This paper proves the first super-logarithmic lower bounds on the cell-probe complexity of dynamic boolean (a.k.a. decision) data structure problems, a long-standing milestone in data structure lower bounds.
Weights of mod $p$ automorphic forms
Bao V. Le Hung
Member, School of Mathematics
October 2, 2017
Multivariate trace inequalities
Marius Lemm
Member, School of Mathematics
October 2, 2017
$A_\infty$ structures as a language for open Gromov-Witten theory
Sara Tukachinsky
Member, School of Mathematics
October 2, 2017
$p$-adic L-functions and Iwasawa main conjectures
Zheng Liu
Member, School of Mathematics
October 2, 2017
The distribution of primes and zeros of Riemann's Zeta function
James Maynard
Member, School of Mathematics
October 2, 2017
Elementary open problems in Algebra (with consequences in computational complexity)
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.
Motivic correlators and locally symmetric spaces
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.