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SUMMARY:Fang-Ting Tu (Louisiana State University)
DTSTART:20210428T150000Z
DTEND:20210428T160000Z
DTSTAMP:20260423T024725Z
UID:hnts/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/35/">A 
 Whipple formula revisited</a>\nby Fang-Ting Tu (Louisiana State University
 ) as part of Heilbronn number theory seminar\n\n\nAbstract\nThis talk is b
 ased on recent joint work with Wen-Ching Winnie Li and Ling Long. We consi
 der the hypergeometric data corresponding to a formula due to Whipple whic
 h relates certain hypergeometric values $_7F_6(1)$ and $_4F_3(1)$. \n\nWhe
 n the hypergeometric data are primitive and defined over the rationals\, f
 rom identities of hypergeometric character sums\, we explain a special str
 ucture of the corresponding Galois representations behind Whipple's formul
 a leading to a decomposition that can be described by the Fourier coeffici
 ents of Hecke eigenforms. In this talk\, I will use an example to demonstr
 ate our approach and relate the hypergeometric values to certain periods o
 f modular forms.\n
LOCATION:https://researchseminars.org/talk/hnts/35/
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