Periods, motivic Gamma functions, and Hodge structures

Series
Athens-Atlanta Number Theory Seminar
Time
Monday, October 30, 2017 - 5:15pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Spencer Bloch – University of Chicago – http://www.math.uchicago.edu/~bloch/
Organizer
Joseph Rabinoff
Golyshev and Zagier found an interesting new source of periods associated to (eventually inhomogeneous) solutions generated by the Frobenius method for Picard Fuchs equations in the neighborhood of singular points with maximum unipotent monodromy. I will explain how this works, and how one can associate "motivic Gamma functions" and generalized Beilinson style variations of mixed Hodge structure to these solutions. This is joint work with M. Vlasenko.