Date: Wednesday, January 19, 2022
Location: Virtual (4:00 PM to 5:00 PM)
Title: A ShimuraShintani correspondence for rigid analytic cocycles
Abstract: In their paper Singular moduli for real quadratic fields: a rigid analytic approach, Darmon and Vonk introduced rigid meromorphic cocycles, i.e. elements of H^1(SL_2(Z[1/p]), M^x) where M^x is the multiplicative group of rigid meromorphic functions on the padic upperhalf plane. Their values at RM points belong to narrow ring class fields of real quadratic fiends and behave analogously to CM values of modular functions on SL_2(Z)\H. In this talk I will present some progress towards developing a ShimuraShintani correspondence in this setting.
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Speaker: Isabella Negrini
Institution: Mcgill University
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