Motivic Gamma Functions and recursion
Presenter
March 27, 2017
Keywords:
- Galois theory
- Galois orbits
- periods
- gamma function
- motivic theory
- Gauss-Manin connections
- recursion relations
- gamma function
- D-modules
- holonomic D-modules
- log geometry
- irregular connections
- algebraic curves
MSC:
- 11R34
- 11R32
- 11Rxx
- 11-xx
- 14Hxx
- 14H05
- 14H60
- 53B15
- 14C30
- 14Cxx
- 14-xx
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.