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SUMMARY:Elisa Lorenzo García (Université de Neuchâtel & Université de 
 Rennes 1)
DTSTART:20210628T160000Z
DTEND:20210628T165000Z
DTSTAMP:20260419T120834Z
UID:AFDRT/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AFDRT/3/">Sa
 to-Tate distributions of twists of the Fermat and the Klein quartics</a>\n
 by Elisa Lorenzo García (Université de Neuchâtel & Université de Renne
 s 1) as part of Around Frobenius distributions and related topics II\n\n\n
 Abstract\nI will start by reviewing the Sato-Tate conjecture and its gener
 alisations. I will focus on the Sato-Tate distributions and computational 
 aspects. After reviewing the elliptic curves case and the genus 2 case I w
 ill move to my results on genus 3 with F. Fité and A. Sutherland. In this
  common work we determine the Sato-Tate groups and the Sato-Tate distribut
 ions of the twists of the Fermat and Klein quartics\, the two quartics wit
 h the largest automorphism group. This produces 60 different Sato-Tate dis
 tributions in genus 3\, which are already enough to see new phenomenons: f
 or instance in genus 3 the individual distribution of the coefficients of 
 the normalized Euler factor do not determine the Sato-Tate distribution.\n
LOCATION:https://researchseminars.org/talk/AFDRT/3/
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