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
Event Organizer:
|