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SUMMARY:Amina Abdurrahman (IHES)
DTSTART:20231115T160000Z
DTEND:20231115T170000Z
DTSTAMP:20260418T070330Z
UID:LNTS/108
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/108/">S
 quare roots of symplectic L-functions and Reidemeister torsion</a>\nby Ami
 na Abdurrahman (IHES) as part of London number theory seminar\n\nLecture h
 eld in Room 140\, the Huxley Building\, Imperial College London.\n\nAbstra
 ct\nWe give a purely topological formula for the square class of the centr
 al value of the L-function of a symplectic representation on a curve. We a
 lso formulate a topological analogue of the statement\, in which the centr
 al value of the L-function is replaced by Reidemeister torsion of 3-manifo
 lds. This is related to the theory of epsilon factors in number theory and
  Meyer's signature formula in topology among other topics. We will present
  some of these ideas and sketch aspects of the proof. This is joint work w
 ith Akshay Venkatesh.\n
LOCATION:https://researchseminars.org/talk/LNTS/108/
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