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SUMMARY:Tobias Berger (University of Sheffield)
DTSTART:20201209T130000Z
DTEND:20201209T140000Z
DTSTAMP:20260423T041750Z
UID:QMULANTS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMULANTS/8/"
 >Oddness of limits of automorphic Galois representations</a>\nby Tobias Be
 rger (University of Sheffield) as part of Queen Mary University of London 
 Algebra and Number Theory Seminar\n\n\nAbstract\nFor classical modular for
 ms f one knows that the associated Galois representation $\\rho_f:G_{\\mat
 hbf{Q}} \\to {\\rm GL}_2(\\overline{\\mathbf{Q}}_p)$ is odd\, in the sense
  that ${\\rm det}(\\rho(c))=-1$ for any complex conjugation $c$.\n\nThere 
 is a similar parity notion for n-dimensional Galois representations which 
 are essentially conjugate self-dual. In joint work with Ariel Weiss (Hebre
 w University) we prove that the Galois representations associated to certa
 in irregular automorphic representations of U(a\,b) are odd\, generalizing
  a result of Bellaiche-Chenevier in the regular case. \n\nI will explain o
 ur result and discuss its proof\, which uses V. Lafforgue's notion of pseu
 docharacters and invariant theory.\n
LOCATION:https://researchseminars.org/talk/QMULANTS/8/
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