Anosov Representations and Spectral Theory
Homogeneous Dynamics and Anosov Representations April 20, 2026 - April 24, 2026
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Anosov Representations and Spectral Theory
In this talk I want to report on recent advances on spectral theory for Anosov representations. Motivated by the theory of Laplace and Ruelle resonances for convex cocompact hyperbolic surfaces I will discuss the corresponding higher rank analogs, i.e. the joint spectrum of the Algebra of invariant differential operators and Weyl chamber flows. In particular I want to explain how the spectral theoretic results imply new results for the Anosov subgroups, such as bounds on growth rates of meromorphic Poincaré series.
Anosov Representations and Spectral Theory
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