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SUMMARY:Henri Darmon (McGill)
DTSTART:20210524T230000Z
DTEND:20210524T235000Z
DTSTAMP:20260423T004639Z
UID:CHAT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CHAT/6/">Mod
 ular functions and explicit class field theory: private reminiscences and 
 public confessions</a>\nby Henri Darmon (McGill) as part of CHAT (Career\,
  History And Thoughts) series\n\n\nAbstract\nThe problem of constructing c
 lass fields of number fields from explicit  values of modular functions ha
 s its roots in the theory of cyclotomic fields and the theory of complex m
 ultiplication. The latter theory acquired a renewed currency in the second
  half of the 20th century through its connections to the arithmetic of ell
 iptic curves\, manifested in the work of Coates--Wiles\, Rubin\, Gross--Za
 gier\, and Kolyvagin. \n\nI will  give a personal account of my path towar
 ds a (slightly) better understanding of explicit class field theory for re
 al quadratic fields and its applications to elliptic curves\, taking advan
 tage of the CHAT format to focus on the misconceptions\, false starts\, an
 d dead ends that have marked my roundabout and tortuous\, but also very en
 joyable\, mathematical journey so far.\n
LOCATION:https://researchseminars.org/talk/CHAT/6/
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