# UCSB Quantum Algebra and Topology Seminar

### Winter 2019 Schedule - 11AM on Tuesdays in SH 6635

#### Upcoming Talks:

January 22 | Tian Yang (Texas A&M)

Some recent progress on the volume conjecture for the Turaev-Viro invariants

In 2015, Qingtao Chen and I conjectured that at the root of unity $$\exp{2πi/r}$$ instead of the usually considered root $$\exp{πi/r}$$, the Turaev-Viro and the Reshetikhin-Turaev invariants of a hyperbolic 3-manifold grow exponentially with growth rates respectively the hyperbolic and the complex volume of the manifold. In this talk, I will present a recent joint work with Giulio Belletti, Renaud Detcherry and Effie Kalfagianni on an infinite family of cusped hyperbolic 3-manifolds, the fundamental shadow links complement, for which the conjecture is true.

March 19 | Angus Gruen (Caltech)

#### Past Talks:

January 8 | Eric Rowell (Texas A&M)

Metaplectic Modular Categories and Property F

I will discuss some progress on the property F conjecture, which states that the braid group representations associated with a simple object in a braided fusion category have finite images if and only if the objects FP-dimension is the square root of an integer. Metaplectic modular categories provide a large class of examples with such "weakly integral" objects, and verifying the conjecture here may provide some insight into the more general case.