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Back to Departmental Colloquium: Spring 2021

Departmental Colloquium


Date: Thursday, Apr 8, 2021

Time: 4:00PM

Location: JWB 335


Aaron Pollack

University of California San Diego

Title

Modular forms on exceptional groups

Abstract

Classical holomorphic modular forms are intensely studied objects. They are generalized to automorphic forms, which are associated to reductive groups G. When G is an exceptional group, such as E_8, one can ask if there are special automorphic forms on G, which can in some ways take the place of the classical holomorphic modular forms. Gan, Gross, Savin, and Wallach singled out a class of such automorphic forms, called the quaternionic modular forms. I will explain what these objects are, and what is known about them.

Number Theory Mathematical Biology Data Science and Machine Learning

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