Topology

Date:  Thursday, January 31, 2013
Location:  3866 East Hall (3:00 PM to 4:00 PM)

Title:  Quantifying Residual Finiteness and LERF-ness in Terms of Geometric Data

Abstract:   This talk will begin by defining residual finiteness (RF) and locally extended residual finiteness (LERF) for groups, followed by a brief history of the results that study the connection between these algebraic properties and the fundamental groups of surfaces and 3-manifolds. We will then describe what it means to quantify these group properties and present the results that quantify RF-ness and LERF-ness of hyperbolic surface groups in terms of geometric data. If time permits, we will conclude with an overview of similar techniques used to quantify residual finiteness for particular hyperbolic 3-manifold groups.


Speaker:  Priyam Patel
Institution:  Rutgers

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