Seminars & Colloquia Calendar

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Identities for \(1/\pi^2\) and special hypergeometric motives

 John Voight (Dartmouth) 

Location:  Hill 705
Date & time: Wednesday, 13 November 2019 at 3:30PM - 4:30PM

Abstract:  More than a century ago, Ramanujan discovered remarkable formulas for \(1/\pi\). Inspired by these discoveries, similar Ramanujan-like expressions for \(1/\pi^2\) have been uncovered recently by Guillera.  We explain the provenance of these formulas: we recognize certain special hypergeometric motives as arising from Hilbert modular forms in an explicit way.

This is joint work with Lassina Demb\'el\'e, Alexei Panchishkin, and Wadim Zudilin.

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