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Elliptic surfaces and a Torelli theorem

Philip Engel
September 5, 2023
10:20 am - 11:15 am
Zoom (email the organizers for coordinates)

Title:  Elliptic surfaces and a Torelli theorem

Speaker:  Philip Engel (University of Georgia Athens)

Speaker's URL:  https://philip-engel.github.io/

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.

URL associated with Seminar:  https://research.math.osu.edu/agseminar/

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Seminar - Algebraic Geometry