Seminar Event Detail

RTG Seminar on Number Theory

Date:  Wednesday, January 19, 2022 Location:  Virtual (4:00 PM to 5:00 PM) Title:  A Shimura-Shintani 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 p-adic upper-half 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 Shimura-Shintani correspondence in this setting. Files: Speaker:  Isabella Negrini Institution:  Mcgill University Event Organizer:

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