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Seminar

RAS - PA Seminar: Introduction to Burger—Mozes groups September 15, 2020 (10:30 AM PDT - 12:00 PM PDT)
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Location: MSRI: Online/Virtual
Speaker(s) Nicholas Rouse (Rice University)
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To participate, please email Tommaso Cremaschi or James Farre.

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.

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