Modular forms on exceptional groups

Graduate/faculty Seminar

Aaron Pollack

Monday, November 12, 2018 -
12:00pm to 1:00pm
119 Physics

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.

Last updated: 2020/07/13 - 10:33pm