Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Spencer Bloch
Affiliation:

University of Chicago / MPIM Bonn
Date:

Mon, 2018-03-12 11:00 - 12:00 (Joint work with M. Vlasenko) Inspired by recent work of V. Golyshev and D. Zagier, we associate to the Apéry family (a rank 3 variation of Hodge structure on an open set in the projective line) a "motivic Gamma function" which is a Mellin transform of a suitable Picard Fuchs solution. The Taylor series at $s=0$ of this Mellin transform has coefficients which numerical calculations suggest are (multiple) zeta values. We show how this data can be interpreted as a variation of mixed Hodge structure.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/7438