Seminar Event Detail

Colloquium Series

Date:  Tuesday, February 01, 2022
Location:  (4:00 PM to 5:00 PM)

Title:  Volume vs Homotopy type for locally symmetric spaces

Abstract:   We discuss some open problems and some new results about the topology of arithmetic locally symmetric spaces. Among the new results is a proof of a conjecture of Gelander stating that the complexity of the topology of these manifolds can be bounded just in terms of the volume. The main new tool is an arithmetic refinement of the classical Margulis lemma about discrete subgroups of Lie groups. Based on joint work with Mikolaj Fraczyk and Jean Raimbault. All notions will be explained.


Speaker:  Sebastian Hurtado-Salazar
Institution:  University of Chicago

Event Organizer:     


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