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# Aaron Pollack : Modular forms on exceptional groups

Classically, a modular form for a reductive group G is an automorphic form that gives rise to a holomorphic function on the symmetric space G/K, when this symmetric space has complex structure. However, there are very interesting groups G, such as those of type G_2 and E_8, for which G/K does not have complex structure. Nevertheless, there is a theory of modular forms on these exceptional groups, whose study was initiated by Gross-Wallach and Gan-Gross-Savin. I will define these objects and describe what is known about them.

**Category**: Graduate/Faculty Seminar**Duration**: 01:14:59**Date**: November 12, 2018 at 11:55 AM**Views**: 238-
**Tags:**seminar, Graduate/faculty Seminar

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