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SUMMARY:Ari Krishna + Sophie Zhu (Harvard)
DTSTART:20250911T203000Z
DTEND:20250911T220000Z
DTSTAMP:20260422T220630Z
UID:STAGE/134
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/134/">
 Statements of the Weil conjectures\, proof for curves via the Hodge index 
 theorem</a>\nby Ari Krishna + Sophie Zhu (Harvard) as part of STAGE\n\nLec
 ture held in Room 4-163.\n\nAbstract\nState the Weil conjectures for smoot
 h proper varieties over finite fields. Explain the proof for curves via in
 tersection theory on surfaces\, in particular the Hodge index theorem.\n\n
 References: Poonen\, <a href="https://math.mit.edu/~poonen/papers/Qpoints.
 pdf">Rational points on varieties</a>\, Chapter 7 up to Section 7.5.1\; Mi
 lne\, <a href="https://www.jmilne.org/math/xnotes/pRH.pdf">The Riemann Hyp
 othesis over Finite Fields: from Weil to the present day</a>\, pages 8-10.
 \n
LOCATION:https://researchseminars.org/talk/STAGE/134/
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