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SUMMARY:Eloi Torrents Juste (niversitat Autònomia de Barcelona)
DTSTART:20231108T120000Z
DTEND:20231108T130000Z
DTSTAMP:20260423T021652Z
UID:SIMBa/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIMBa/16/">F
 undamental domains for the Bruhat-Tits tree for $GL_2(F_p)$</a>\nby Eloi T
 orrents Juste (niversitat Autònomia de Barcelona) as part of Barcelona Ma
 thematics Informal Seminar (SIMBa)\n\nLecture held in UAB\, Aula petita CR
 M.\n\nAbstract\nThe computation of fundamental domains of the Bruhat-Tits 
 tree by the action of\nquaternionic groups allows the computation of harmo
 nic cocycles on it. These are\nrelated to automorphic forms and from this 
 fact are derived several applications\, as\nfor example the computation of
  points on Shimura curves and Heegner points on\nelliptic curves as done b
 y M. Greenberg and later generalized by C. Franc and M.\nMasdeu.\n\nIn thi
 s talk we will review these concepts\, and we will explain how to apply th
 em\nin the computation of Heegner points on elliptic curves in cases where
  the Heegner\nhypothesis is not satisfied\, and therefore the classical ar
 quimedian construction of\nthese points is difficult to compute.\n
LOCATION:https://researchseminars.org/talk/SIMBa/16/
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