BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The Langlands Program\, Motives\, and l-independence - Suvir Ratho
 re\, University of Cambridge
DTSTART:20251114T160000Z
DTEND:20251114T170000Z
UID:TALK234847@talks.cam.ac.uk
CONTACT:Xuanchun Lu
DESCRIPTION:Grothendieck's philosophy of motives suggests the l-adic etale
  cohomology of a variety should be independent of the prime number l in so
 me sense. Deligne's proof of the Weil conjectures and in particular the (g
 eometric) Riemann hypothesis sheds light on a numerical statement of l-ind
 ependence which led Deligne to make a more general conjecture. A geometric
  refinement of l-independence was given by Serre using Frobenius tori and 
 later Drinfeld using Deligne's conjecture (known for smooth varieties) and
  a known instance of the Langlands conjectures due to (Laurent) Lafforgue.
 \n\nWe will give a brief introduction to motives as a universal cohomology
  theory in algebraic geometry and the Langland's program in number theory\
 , with application to l-independence. 
LOCATION:MR13
END:VEVENT
END:VCALENDAR