Periods, motivic Gamma functions, and Hodge structures

Athens-Atlanta Number Theory Seminar
Monday, October 30, 2017 - 17:15
1 hour (actually 50 minutes)
Skiles 005
University of Chicago
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.