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UID:20250712T103633EDT-70748gV4LA@132.216.98.100
DTSTAMP:20250712T143633Z
DESCRIPTION:Colloquium Colloque des sciences mathématiques du Québec\n\nTit
 le: Modularity of Galois representations\, from Ramanujan to Serre's conje
 cture and beyond.\n\nAbstract: Ramanujan made a series of influential conj
 ectures in his 1916 paper ``On some arithmetical functions’' on what is no
 w called the Ramanujan $ au$ function. A congruence Ramanujan observed for
  $ au(n)$ modulo 691 in the paper led to Serre and Swinnerton-Dyer develop
 ing a geometric theory of mod $p$ modular forms. It was in the context of 
 the theory of mod $p$ modular forms that Serre made his modularity conject
 ure\, which was initially formulated in a letter of Serre to Tate in 1973.
 \n	\n	I will describe the path from Ramanujan's work in 1916\, to the formul
 ation of a first version of Serre's conjecture in 1973\, to its resolution
  in 2009 by Jean-Pierre Wintenberger and myself. I will also try to indica
 te why this subject is very much alive and\, in spite of all the progress\
 , still in its infancy.\n\nhttp://crm.umontreal.ca/colloque-sciences-mathe
 matiques-quebec/index.htm...\n\n \n\n \n\n\n	Salle/Room 5340\, Pav. André A
 isenstadt\n\nTo get your Zoom access\, please subscribe to the lists of yo
 ur choice: https://forms.gle/axqFGSkRkbkdFtE68\n
DTSTART:20220916T193000Z
DTEND:20220916T203000Z
SUMMARY:Chandrashekhar Khare\, UCLA
URL:/mathstat/channels/event/chandrashekhar-khare-ucla
 -341775
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