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Motivic Gamma Functions and recursion

Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017

March 27, 2017 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Spencer Bloch (Retired)
Location: MSRI: Simons Auditorium
Tags/Keywords

  • Galois theory

  • Galois orbits

  • Periods

  • Gamma function

  • motivic theory

  • Gauss-Manin connections

  • recursion relations

  • D-modules

  • holonomic D-modules

  • log geometry

  • irregular connections

  • algebraic curves

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

2-Bloch
Abstract

I will discuss a program of V. Golyshev and collaborators to develop a theory of motivic gamma functions. These are Mellin transforms of period integrals. They satisfy the same recursive relations as solutions of the Picard Fuchs equation. 
Supplements
28367?type=thumb Bloch.Notes 2.72 MB application/pdf Download
Video/Audio Files

2-Bloch

H.264 Video 2-Bloch.mp4 633 MB video/mp4 rtsp://videos.msri.org/data/000/028/095/original/2-Bloch.mp4 Download
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