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Texas A&M University
Mathematics

Events for 03/06/2024 from all calendars

Groups and Dynamics Seminar

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Time: 3:00PM - 4:00PM

Location: BLOC 123

Speaker: Volodymyr Nekrashevych, Texas A&M University

Title: Conformal dimension and combinatorial modulus

Abstract: We will discuss the Ahlfors-regular conformal dimension of the limit space of a self-similar group. In particular, I will give a characterization of the conformal dimension in terms of the combinatorial modulus of the dual Moore diagram of the automaton generating the group. This is an adaptation of the characterization of the conformal dimension due to Carrasco Piaggio and Keith-Kleiner. We will also discuss a characterization of the dimension in terms of the Schatten class of commutators of natural representations of the group and the algebra of continuous functions on the limit space.


Committee P Meeting - All Full Professors

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Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Eric Rowell