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RTG Seminar on Number Theory Seminar

A Shimura-Shintani correspondence for rigid analytic cocycles
Wednesday, January 19, 2022
4:00-5:00 PM
Off Campus Location
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.

Speaker(s): Isabella Negrini (Mcgill University)
Building: Off Campus Location
Location: Virtual
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics