Chow motives, L-functions, and powers of algebraic Hecke characters

Laure Flapan
Northeastern University/MSRI
April 22, 2019

The Langlands and Fontaine–Mazur conjectures in number theory describe when an automorphic representation f arises geometrically, meaning that there is a smooth projective variety X, or more generally a Chow motive M in the cohomology of X, such that there is an equality of L-functions L(M,s) = L(f,s). We explicitly describe how to produce such a variety X and Chow motive M in the case of powers of certain automorphic representations, called algebraic Hecke characters. This is joint work with J. Lang.

Anyonic-String/Brane Träumerei: Quantum 4d Yang-Mills Gauge Theories and Time-Reversal Symmetric 5d TQFT

Juven Wang
Member, School of Natural Sciences, IAS
April 19, 2019

My talk will aim to be a friendly introduction for condensed matter friends, mathematicians, and QFT theorists alike ---  I shall quickly review and warm up the use of higher symmetries and anomalies of gauge theories and condensed matter systems. Then I will present the results of recent work [arXiv:1904.00994].