Motivic Gamma Functions and recursion
Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017
Location: SLMath: Eisenbud Auditorium
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
14H60 - Vector bundles on curves and their moduli [See also 14D20, 14F06, 14J60]
14H70 - Relationships between algebraic curves and integrable systems
14D24 - Geometric Langlands program (algebro-geometric aspects) [See also 22E57]
2-Bloch
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.
Bloch.Notes
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2-Bloch
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