Posted in
Speaker:
Vasily Golyshev
Affiliation:
IITP, IHES
Date:
Wed, 22/06/2022 - 14:30 - 15:30
Parent event:
Number theory lunch seminar Contact: Pieter Moree (moree@mpim-bonn.mpg.de)
We study the arithmetic of rank 4 weight 3 Calabi--Yau
motives in the framework of a broader program that approaches
regulators via differential equations that control them. We
introduce biextension periods for certain hypergeometric
CY motives and compare them numerically to the first derivative
of their $L$--functions at $s=2$, obtaining evidence in favor
of a B-SD-type conjecture.
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