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UID:20250705T042134EDT-55624JgrSR@132.216.98.100
DTSTAMP:20250705T082134Z
DESCRIPTION:p-Adic Variation in the Theory of Automorphic Forms.\n\nThis wi
 ll be an expository lecture intended to illustrate through examples the th
 eme of p-adic variation in the classical theory of modular forms. Classica
 lly\, modular forms are complex analytic objects\, but because their fouri
 er coefficients are typically integral\, it is possible to do elementary a
 rithmetic with them. Early examples arose already in the work of Ramanujan
 . Today one knows that modular forms encode deep arithmetic information ab
 out elliptic curves and galois representations. The main goal of the lectu
 re will be to motivate a beautiful theorem of Robert Coleman and Barry Maz
 ur\, who constructed the so-called Eigenvariety\, which leads to a geometr
 ic approach to varying modular forms\, their associated galois representat
 ions\, as well as their L-functions\, in p-adic analytic families. We will
  briefly discuss important applications to Number Theory and Iwasawa Theor
 y.\n
DTSTART:20180301T203000Z
DTEND:20180301T213000Z
LOCATION:Room 3840\, CA\, Université Laval
SUMMARY:Glenn Stevens\, Boston University
URL:/mathstat/channels/event/glenn-stevens-boston-univ
 ersity-285302
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