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UID:20260601T123711EDT-8830uUVmIK@132.216.98.100
DTSTAMP:20260601T163711Z
DESCRIPTION:p-adic Analysis and Hilbert's Twelfth Problem.\n\nModular funct
 ions play an important role in many aspects of number theory. The theory o
 f complex multiplication\, one of the grand achievements of the subject in
  the 19th century\, asserts that the values of modular functions at quadra
 tic imaginary arguments generate (essentially all) abelian extensions of i
 maginary quadratic fields. Hilbert's twelfth problem concerns the generali
 sation of this theory to other base fields. I will describe an ongoing wor
 k in collaboration with Jan Vonk which identifies a class of functions tha
 t seem to play the role of modular functions for real quadratic fields. A 
 key difference with the classical setting is that they are meromorphic fun
 ctions of a p-adic variable (defined in the framework of 'rigid analysis' 
 introduced by Tate) rather than of a complex variable.\n
DTSTART:20171006T200000Z
DTEND:20171006T210000Z
LOCATION:room 6254\, CA\, QC\, montreal\, Pav. André-Aisenstadt\, 2920\, ch
 . de la Tour
SUMMARY:Henri Darmon\, 91ºÚÁÏÍø
URL:/mathstat/channels/event/henri-darmon-mcgill-unive
 rsity-270705
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