University of Cambridge > > Junior Algebra/Logic/Number Theory seminar > Towards a Beilinson-Bernstein Theorem for p-adic Quantum Groups

Towards a Beilinson-Bernstein Theorem for p-adic Quantum Groups

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  • UserNicolas Dupré, University of Cambridge
  • ClockFriday 01 December 2017, 15:00-16:00
  • HouseCMS, MR14.

If you have a question about this talk, please contact Nicolas Dupré.

In 1981, Beilinson and Bernstein used their celebrated localisation theorem to prove the Kazdhan-Lusztig conjecture on characters of highest weight modules. The theorem established a correspondence between representations of a complex semisimple Lie algebra and modules over certain sheaves of differential operators on the flag variety of the associated algebraic group. Since then there have been several attempts at generalising this result, or at proving analogues of it in different contexts. For example, Backelin and Kremnizer proved a localisation theorem for representations of quantum groups. More recently, Ardakov and Wadsley proved a localisation theorem working with certain completed enveloping algebras of p-adic Lie algebras. In this talk I will explain what these theorems say and how one might attempt to combine the ideas of both theorems to prove a localisation theorem for certain p-adic completions of quantum groups.

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

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