Daniel Litt
Title: Motivic Analytic Number Theory
Abstract: There are beautiful and unexpected connections between algebraic topology, number theory, and algebraic geometry, arising from the study of the con figuration space of points on a variety. I'll discuss several ideas and open conjectures surrounding these connections, and describe the proof of one of these conjectures (relating the Hodge theory of a variety to the geometry of points on the variety) in the case of curves and algebraic surfaces. Everything in the talk will be de fined from scratch, and should be quite accessible.