BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Seminar on Arithmetic Geometry\, etc. (STAGE)
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260811T151525Z
UID:tag:localist.com\,2008:EventInstance_50967811877413
DTSTART:20251016T203000Z
DTEND:20251016T220000Z
DESCRIPTION:Speaker: Jane Shi (MIT)\n\nTitle: Katz's proof of the Riemann h
 ypothesis for curves\n\nAbstract:\n\nIn this talk\, we'll study a proof of
  the Riemann Hypothesis for (projective\, smooth and  geometrically connec
 ted) curves over finite fields by Katz. We'll study Deligne's version of R
 ankin's method and the "connect by curves" lemma\, and how they reduce a p
 roof of RH on genus $g$ curves to a proof of RH on Fermat curves. Finally\
 , we'll introduce the "persistence of purity theorem"\, which will be usef
 ul for the next talk.\n\nReference:  section 1-4 of A Note on Riemann Hypo
 thesis for Curves and Hypersurfaces Over Finite Fields.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 105
SUMMARY:Seminar on Arithmetic Geometry\, etc. (STAGE)
URL;VALUE=URI:https://calendar.mit.edu/event/seminar-on-arithmetic-geometry
 -etc-stage-Jane-Shi
CATEGORIES:Conferences/Seminars/Lectures
END:VEVENT
END:VCALENDAR