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Quantum Ergodicity in the level aspect for locally symmetric spaces

PDE and Analysis Seminar Series

schedule Date & time
Date/time
14 May 2026 10:00am - 14 May 2026 11:00am
person Speaker

Speakers

Simon Marshall (University of Melbourne)
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Description

Abstract: I will discuss a variant of Quantum Ergodicity in which the underlying manifold varies, known as Quantum Ergodicity in the level aspect. This was originally established for finite regular graphs by Anantharaman-Le Masson, before being extended to compact hyperbolic manifolds by Le Masson-Sahlsten and Abert-Bergeron-Le Masson. I will present a proof of Quantum Ergodicity in the level aspect for sequences of compact locally symmetric spaces whose associated Lie group has a restricted root system that is either of classical type, or type E7. In particular, this includes all groups of classical type.  This is joint work with Farrell Brumley, Jasmin Matz, and Carsten Peterson.

Location

Hanna Neumann, Seminar Room 1.33

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