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p-adic functoriality

New Geometric Techniques in Number Theory July 01, 2013 - July 12, 2013

July 09, 2013 (02:45PM PDT - 03:15PM PDT)

Speaker(s): Judith Ludwig (Imperial College, London)
Location: MSRI: Simons Auditorium

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Abstract

I will explain a notion of p-adic functoriality. Roughly speaking the goal is to extend classical Langlands functoriality to a transfer of p-adic families of automorphic representations. As these p-adic families can be organized into mysterious geometric objects, so called eigenvarieties, one aims at giving this p-adic functoriality a geometric structure as well. I will explain what this means and if time permits discuss some results in the context of unitary groups.

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