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Speaker:
Grigori Avramidi
Affiliation:
MPIM
Date:
Tue, 18/02/2020 - 10:15 - 12:00
Location:
MPIM Lecture Hall
Parent event:
Seminar "Arithmetic of Algebraic Groups" Locally symmetric spaces that are quotients of SL(n,R)/SO(n) by a lattice always have immersed, totally geodesic, flat tori of dimension (n-1). These tori are natural candidates for nontrivial homology cycles. We will explain how some of these (n-1)-dim tori give nontrivial rational homology cycles in congruence covers of SL(n,Z) \SL(n,R)/SO(n) and in Gamma\SL(n,R)/SO(n) for some cocompact lattices Gamma in SL(n,R).
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