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UID:20250915T210807EDT-7026vEArAn@132.216.98.100
DTSTAMP:20250916T010807Z
DESCRIPTION:Professor Henri Darmon of 9IÖÆ×÷³§Ãâ·Ñ is the winner of th
 e 2017 CRM-Fields-PIMS Prize. Professor Darmon is one of the leading numbe
 r theorists of his generation. He has an extraordinary record of deep and 
 highly influential contributions to the arithmetic theory of ellipticcurve
 s\, including his recent breakthrough on the Birch and Swinnerton-Dyer Con
 jecture. He has also been an exceptional mentor to students and an exempla
 ry citizen of the mathematical community.\n	\n	Prof. Darmon obtained his Ph.
 D. in Mathematics from Harvard University in 1991. He has been the James M
 cGill Professor of Mathematics since 2005.\n\n \n\nAbstract:\n\n	Modular fu
 nctions play an important role in many aspects of number theory. The theor
 y of complex multiplication\, one of the grand achievements of the subject
  in the 19th century\, asserts that the values of modular functions at qua
 dratic imaginary arguments generate (essentially all) abelian extensions o
 f imaginary quadratic fields. Hilbert's twelfth problem concerns the gener
 alisation of this theory to other base fields. I will describe an ongoing 
 work in collaboration with Jan Vonk which identifies a class of functions 
 that seem to play the role of modular functions for real quadratic fields.
  A key difference with the classical setting is that they are meromorphic 
 functions of a p-adic variable (defined in the framework of 'rigid analysi
 s' introduced by Tate) rather than of a complex variable.\n		\n		Le café sera 
 servi à 15h30 et une réception suivra la conférence au Salon Maurice-L'Ab
 bé (salle 6245).\n		Coffee will be served before the conference and a recept
 ion will follow at Salon Maurice-L'Abbé (Room 6245).\n\n	 \n\n
DTSTART:20171006T200000Z
DTEND:20171006T210000Z
LOCATION:room 6254\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Lecture by Henri Darmon\, 2017 CRM-Fields-PIMS Prize Recipient
URL:/mathstat/channels/event/lecture-henri-darmon-2017
 -crm-fields-pims-prize-recipient-270696
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