The City College of New YorkCCNY
Department of Mathematics
Division of Science

An algebraic and geometric classification of hyperbolic surface group amalgams

Mathematics Colloquium

Time and place

1 PM on Thursday, October 8th, 2015;

Emily Stark (University of Haifa)

Abstract

Finitely generated groups carry both an algebraic and a geometric structure, and to study such groups, one may study both algebraic and geometric classifications. More specifically, two fundamental problems in geometric group theory are to characterize the abstract commensurability and quasi-isometry classes among finitely generated groups. I will discuss these questions and present a solution within the setting of certain amalgamated free products of surface groups.

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