Number Theory Seminar: Paul Mezo

  • Date: 11/17/2011
  • Time: 16:10
Paul Mezo (Carleton University)

Simon Fraser University


Character identities in real twisted endoscopy


AbstractPart of the Langlands Program is to find a meaningful correspondence between representations of Galois groups and representations of reductive algebraic groups.  I will attempt to motivate this through an example and then concentrate on what happens at a (real) Archimedean place of the global picture.  In this context the idea of endoscopy arises in a natural fashion and suggests identities between representations of different Lie groups. These identities have been proven by Shelstad.  I will sketch the theory of endoscopy under twisting by a group automorphism and describe character identities between discrete series representations.

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