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SUMMARY:Emmanuel Kowalski (ETH Zürich)
DTSTART:20210107T130000Z
DTEND:20210107T140000Z
DTSTAMP:20260423T005756Z
UID:AGNTISTA/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/22/
 ">Exponential sums and twisted multiplicativity</a>\nby Emmanuel Kowalski 
 (ETH Zürich) as part of Algebraic Geometry and Number Theory seminar - IS
 TA\n\n\nAbstract\nThe additive exponential sums associated to an integral 
 polynomial\nsatisfy a property of twisted-multiplicativity. Using this\, i
 t is\npossible to exploit properties of these sums over finite fields to g
 ain\nsome understanding of the sums modulo all integers. This involves a\n
 fine interplay of algebraic methods and analytic techniques. The\nexplain 
 will describe some of these\, and explain in particular how to\ndeduce tha
 t the mean value of these exponential sums vanishes for\nsuitably generic 
 polynomials.\n\n(Joint work with K. Soundararajan)\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/22/
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