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The Langlands program aims to relate systems of polynomial equations with integer coefficients to automorphic forms, i.e. functions on symmetric spaces with a large number of discrete symmetries. The focus of the trimester will be on some manifestations of this program, including:
moduli spaces of shtukas p-adic techniques in local Langlands and the relation to geometric Langlands Shimura varieties and more general spaces in global Langlands
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