Character varieties and (\varphi_L,\Gamma_L)-modules

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• Peter Schneider
• Tuesday 27 February 2018, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jack Thorne.

After reviewing old work with Teitelbaum, in which we constructed the character variety X of the additive group o_L in a finite extension L/Q_p and established the Fourier isomorphism for the distribution algebra of o_L, I will briefly report on more recent work with Berger and Xie, in which we establish the theory of (\varphi_L,\Gamma_L)- modules over X and related it to Galois representations. Then I will discuss an ongoing project with Venjakob. Our goal is to use this theory over X for Iwasawa theory.

This talk is part of the Number Theory Seminar series.

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