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RAS Program Associate Seminar​ (Fall 2020)

Random and Arithmetic Structures in Topology Seminars

RAS Program Associate Seminar

Tuesdays 10:30-12:00 Pacific Time, beginning September 15th
To participate, please email Tommaso Cremaschi or James Farre.

The PA seminar is a learning seminar for early career mathematicians (graduate student and postdocs). Please only join the seminar if you are an early career mathematician.

In this expository talk, we discuss the basic properties and construction of lattices in the product of the automorphism groups of two trees. These groups were studied by Burger, Mozes, and others beginning in the 1990s. Using these techniques, one can construct groups that are finitely presented, torsion-free, simple, and split as a free product of free groups amalgamated along a subgroup of finite index. We also present some examples of these groups and analogies with Lie theory.

Introduction to Burger—Mozes groups

Speaker: Nicholas Rouse

September 15, 2020 (10:30 AM PDT - 12:00 PM PDT)

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Property (T) and a-T-menability : Examples and Properties

Speaker: Homin Lee

September 22, 2020 (10:30 AM PDT - 12:00 PM PDT)

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TBA

Speaker: Cameron Rudd

October 06, 2020 (10:30 AM PDT - 12:00 PM PDT)

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Growth of homology torsion in finite coverings

Speaker: Kahn Le

October 13, 2020 (10:30 AM PDT - 12:00 PM PDT)

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TBA

Speaker: Xiaolong Han

October 27, 2020 (10:30 AM PDT - 12:00 PM PDT)

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Sunada’s construction

Speaker: Sangsan Warakkagun

November 17, 2020 (10:30 AM PST - 12:00 PM PST)

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Rock's theorem on volumes of hyperbolic mapping tori

Speaker: Biao MA

November 24, 2020 (10:30 AM PST - 12:00 PM PST)

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Superrigidity and Arithmeticity

Speaker: Sara Edelman-Munoz

December 01, 2020 (10:30 AM PST - 12:00 PM PST)

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