Algebraic Geometry Seminar

Title: Chow motives of Enriques surfaces

Abstract: An Enriques surface is a 2-dimensional smooth projective variety whose first Betti number is 0 and 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 Chow motive of an Enriques surface, and investigate what information about the Enriques surface it remembers. This is joint work with Jake Huryn.