Tue, February 10, 2026
10:20 am - 11:15 am
Math Tower (MW) 154
Will Newman
The Ohio State University
Title
Torsion motives of Enriques surfaces
Abstract
An Enriques surface is a 2-dimensional smooth projective variety whose canonical bundle is 2-torsion. There are many such varieties: the moduli space is 10-dimensional. Unlike other famous examples of surfaces with positive dimensional moduli, Enriques surfaces have trivial Hodge structures on their cohomology, so this invariant cannot be used to tell them apart. In this talk, we consider a finer invariant, the integral motive of an Enriques surface, and investigate what information about the Enriques surface it remembers. This is joint work with Jake Huryn.