Back to Algebraic Geometry Seminar: Fall 2022
Algebraic Geometry Seminar
Date: Friday, Nov 18, 2022
Time: 3:30PM - 4:30PM
Location: LCB 323
Philip Engel
University of Georgia
Title |
Elliptic surfaces and a Torelli theorem Note the unusual date! |
Abstract |
Elliptic surfaces fibering over an elliptic curve with 12 singular fibers form a ten-dimensional moduli space. Their middle cohomology has a K3 type Hodge structure endowing the moduli space with a period map into a ten-dimensional arithmetic quotient. I will discuss a proof that this period map is dominant (like moduli of K3 surfaces) but that the degree of the period map exceeds one (unlike moduli of K3 surfaces). This is joint work with F. Greer and A. Ward. |
Algebraic Geometry