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Thursday, July 7, 3-4pm
Professor Lin Xiao-Song, University of California
at Riverside.
Title: Hyperbolic Geometry and Quantum Topology

Abstract: The works of Thurston and Jones revolutionized low dimensional topology. Thurston established the ubiquity of hyperbolic structure in low dimensions. Jones' work, via such physical notions as quantum groups and path integrals, led to vast families of topological invariants of knots and 3-manifolds. Establishing a direct link between these disparate approaches and unifying geometric and quantum invariants is of fundamental importance to low dimensional topology. In this talk, we will give a survey of recent works surrounding the so-called volume conjecture in which a link between geometric and quantum invariants of knots is precisely formulated