Daniel Litt
<br>
Title:  Motivic Analytic Number Theory
<br>
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.