Calendar
Monday, September 30, 2024
Time  Items 

All day 

4:00pm 
09/30/2024  4:15pm The marked length spectrum of a closed, negatively curved Riemannian manifold records the lengths of closed geodesics. We can compare two Riemannian metrics using their marked length spectra, which can be done dynamically via the geodesic flow. This perspective has been extended to other geometric contexts, such as pairs of Anosov representations and actions on metric trees. In this talk, I will discuss a joint work with Stephen Cantrell in which we compare length functions of actions on CAT(0) cube complexes. These are nonpositively curved spaces of combinatorial nature that generalize simplicial trees. The role of the geodesic flow is now played by a finitestate automaton, inspired by CalegariFujiwara’s work about word metrics on hyperbolic groups. Location:
KT205
09/30/2024  4:30pm I will explain how folding Khovanov—Rozansky’s SL(2n) homology gives a new approach to categorifying the spin colored SO(2n + 1) Reshetikhin—Turaev link polynomial. To develop this new approach I will mention: skew Howe duality, categorical braid group actions, iquantum groups, and graphical calculus for SO(2n + 1) centralizer algebras.
Location:
KT 801
