Tuesday, February 14, 2023
02/14/2023 - 2:45pm
The 1-loop conjecture proposed by Dimofte and Garoufalidis suggests a simple and explicit formula to compute the adjoint twisted Reidemeister torsion of hyperbolic 3-manifolds with toroidal boundary in terms of the shape parameters of any ideal triangulation of the manifolds. In this talk, I will give a brief overview of the conjecture and present our recent result on the 1-loop conjecture for fundamental shadow link complements. This is a joint work with Tushar Pandey.
02/14/2023 - 4:15pm
I will review some old and new theorems on orbit closures and classification of invariant measures. We will start with the homogeneous space setting where the theory is most mature. We will then survey some recent developments outside of the homogeneous setting.