Growth of Bianchi modular forms

Tue Mar 8, 2022 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Algebra and Number Theory Seminar

Event time: 
Tuesday, March 8, 2022 - 4:30pm

Speaker: 
Weibo Fu

Speaker affiliation: 
Princeton University

Event description: 
In this talk, I will establish a sharp bound on the growth of cuspidal Bianchi modular forms. By the Eichler-Shimura isomorphism, we actually give a sharp bound of the second cohomology of a hyperbolic three manifold (Bianchi manifold) with local system arising from the representation Symk⊗Symk¯¯¯¯¯¯¯¯¯¯¯¯ of SL2(C). I will explain how a p-adic algebraic method is used for deriving our result.

Research area(s): 
Algebraic Geometry
Number Theory
Representation Theory