Geometry & Topology

Tian Yang from Texas A&M University will be presenting a seminar titled "Relative Reshetikhin-Turaev invariants and hyperbolic cone metrics on 3-manifolds."

This seminar will take place online. Visit the department's website for the link.

Abstract:
We propose the Volume Conjecture for the relative Reshetikhin-Turaev invariants of a closed oriented 3-manifold with a colored framed link inside it whose asymptotic behavior is related to the volume and the Chern-Simons invariant of the hyperbolic cone metric on the manifold with singular locus the link and cone angles determined by the coloring, and prove the conjecture for a number of families of examples. This provides a possible approach of solving the Volume Conjecture for the Reshetikhin-Turaev invariants of closed oriented hyperbolic 3-manifolds. A large part of this work is joint with Ka Ho Wong.

Location:	Online Via Zoom (go to Math Seminars page) [map]
Price:	free
Sponsor:	Department of Mathematics
Contact:	Department of Mathematics (517) 353-0844
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