Number Theory Seminar
Speaker: Bart Michels (Paris Nord)
Title: Extreme values of toric periods on locally symmetric spaces
Abstract: On compact arithmetic locally symmetric spaces of non-compact type, the compact maximal flat submanifolds correspond to maximal R-split tori of the underlying group. This talk is about the average and maximal size of automorphic periods along these compact flats, in the spectral aspect. I will explain the connection and analogy with extreme values of L-functions, and discuss the local problems in an application of the relative pre-trace formula.
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