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SUMMARY:Leah Sturman (Southern Connecticut State University)
DTSTART:20260331T200000Z
DTEND:20260331T210000Z
DTSTAMP:20260824T073916Z
UID:FCNTS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/25/">H
 ypergeometric Decompositions of K3 Surface Pencils</a>\nby Leah Sturman (S
 outhern Connecticut State University) as part of Pioneer Valley Number The
 ory Seminar\n\nLecture held in Seeley Mudd 205 @Amherst College.\n\nAbstra
 ct\nIn this talk we will look at five pencils of projective quartic surfac
 es with the aim of giving explicit formulas for the point counts over fini
 te fields of each. These point counts are written in terms of hypergeometr
 ic sums. Given time\, we will discuss how to obtain a decomposition of the
  incomplete L-function of each pencil in terms of hypergeometric L-series 
 and Dedekind zeta functions. This is joint work with Rachel Davis\, Jessam
 yn Dukes\, Thais Gomes Ribeiro\, Eli Orvis\, Adriana Salerno\, and Ursula 
 Whitcher.\n
LOCATION:https://researchseminars.org/talk/FCNTS/25/
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