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SUMMARY:Trace functions over finite fields - Emmanuel Kowalski\, ETH
DTSTART:20130123T160000Z
DTEND:20130123T170000Z
UID:TALK39939@talks.cam.ac.uk
CONTACT:Bob Hough
DESCRIPTION:In joint works with É. Fouvry and Ph. Michel\, we have begun 
 the study of the analytic properties of "trace functions" over finite fiel
 ds\, which are special functions arising from algebraic objects.  The\ntal
 k will explain and motivate this notion\, and discuss the results we have 
 obtained (which include sums over primes of trace functions\, twists of mo
 dular forms by trace functions and estimates for their uniformity\nnorms) 
 as well as some natural remaining analytic questions. The Riemann Hypothes
 is over finite fields\, in its most general form due to Deligne\, will pla
 y a crucial role.
LOCATION:MR4\, CMS
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