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SUMMARY:Leonid Gorodetskii (MIT)
DTSTART:20251023T203000Z
DTEND:20251023T220000Z
DTSTAMP:20260422T221123Z
UID:STAGE/140
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/140/">
 Katz's proof of the Riemann hypothesis for hypersurfaces</a>\nby Leonid Go
 rodetskii (MIT) as part of STAGE\n\nLecture held in Room 2-105 in the MIT 
 Simons Building.\n\nAbstract\nIn this talk\, we will discuss Katz’s proo
 f of the Riemann Hypothesis for hypersurfaces in projective space. Buildin
 g on techniques developed last time\, we will see how the persistence of p
 urity theorem reduces the problem to explicit cases --- the Fermat and Gab
 ber hypersurfaces --- and we will complete the verification using Gauss su
 ms.\n\nReference: Katz\, <a href="https://doi.org/10.1093/imrn/rnu007">A N
 ote on Riemann Hypothesis for Curves and Hypersurfaces Over Finite Fields<
 /a>\, Sections 5-8.\n
LOCATION:https://researchseminars.org/talk/STAGE/140/
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