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Applications of the orbit method to analysis of automorphic forms

Date: Thursday, May 16, 2019 13:30 - 15:30
Speaker: Paul Nelson (EHT Z├╝rich)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Timothy Browning
Lab building west seminar room


I will discuss joint work with Akshay Venkatesh in which we use microlocalized test vectors (inspired by the orbit method) and Ratner theory to study mean values of L-functions on Gross--Prasad pairs. I will also indicate some further applications of these methods, such as to the quantum variance problem for Hecke--Maass eigenforms.
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