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Two Vignettes on Hypergeometric Regulators

IMSA via YouTube

Overview

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Explore a 52-minute lecture by Matt Kerr from Washington University in St. Louis that delves into hypergeometric regulators through two distinct vignettes. Learn how normal functions taking values in Jacobians of hypergeometric variations of Hodge structure can lead to number-theoretic identities similar to those studied by Guillera. Discover a concise proof of Golyshev's conjecture on algebraic hypergeometrics, utilizing an approach inspired by Lefschetz's (1,1) theorem. This mathematical exploration presented by IMSA offers valuable insights into the computational aspects of normal functions and their applications in number theory.

Syllabus

Matt Kerr, Washington University in St. Louis: Two vignettes on hypergeometric regulators

Taught by

IMSA

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