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shupp_01

Plenary Talk: Ursula Hamenstädt (Bonn), Vortrag: Incompressible surfaces in locally symmetric manifolds

Thursday, 05.08.2021 16:30

Mathematik und Informatik

The surface subgroup question asks for the existence of a subgroup of a given group H which is isomorphic to the fundamental group of a closed surface of genus at least 2. We begin with a survey on recent progress on this question. We then explain the strategy to construct such surface subgroups in any cocompact lattice of a classical simple Lie group of non-compact type different from SO(n,1) for even n. The construction is explicit and geometric and extends earlier work of Kahn and Markovic and of Kahn, Labourie, Mozes.



Angelegt am Wednesday, 28.07.2021 13:06 von shupp_01
Geändert am Wednesday, 28.07.2021 13:06 von shupp_01
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