This event is free
Dept. of Mathematics & Statistics
Ms. Geraldine Ford 3232
J.W. McConnell Building 1400 De Maisonneuve W. Room 921-4
Yes
(University of Cambridge, UK)
ABSTRACT: L-functions are complex functions which are defined from interesting arithmetic objects, such as number fields and elliptic curves. These functions contain a lot of interesting information about the objects that interest us. During the talk, I shall give some examples of how this information can be recovered, stressing the importance of the p-adic and mod p behaviour of these functions. I shall conclude with an overview of related conjectures (Iwasawa Main Conjecture, Greenberg's conjecture on trivial zeroes, existence of eigenvarieties,...) and my results on these topics.
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