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SUMMARY:Luis Garcia (University College London)
DTSTART:20240917T203000Z
DTEND:20240917T213000Z
DTSTAMP:20260423T125532Z
UID:MITNT/96
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/96/">T
 he elliptic gamma function and Stark units</a>\nby Luis Garcia (University
  College London) as part of MIT number theory seminar\n\nLecture held in R
 oom 2-449 in the Simons Building (building 2).\n\nAbstract\nI will present
  a conjecture extending the classical theory of elliptic units from imagin
 ary quadratic fields to complex cubic fields. The role played by theta fun
 ctions in the classical construction now corresponds to the elliptic gamma
  function\, a meromorphic function arising in mathematical physics. Using 
 this function we will define complex numbers that we conjecture to lie on 
 specified abelian extensions of cubic fields and to satisfy explicit recip
 rocity laws. I will discuss some numerical and theoretical evidence for th
 ese claims.\n\nThe talk will be based on arXiv:2311.04110 and is joint wor
 k with Nicolas Bergeron and Pierre Charollois.\n
LOCATION:https://researchseminars.org/talk/MITNT/96/
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