Return to Colloquia & Seminar listing
Central elements in the Sp(2n) skein algebra
Geometry/Topology| Speaker: | Haihan Wu, Johns Hopkins University |
| Related Webpage: | https://sites.google.com/ucdavis.edu/haihanwu |
| Location: | 2112 MSB |
| Start time: | Mon, Jan 13 2025, 3:00PM |
The Jones polynomial can be computed by the skein relations in the Temperley-Lieb category. Similarly, the quantum invariants of different Lie types can be computed by the skein relations in the corresponding web categories, which have been defined for SL(n), Sp(2n), G2, and O(m).
The skein algebra of a surface can be defined with the same set of skein relations. We construct a family of central elements in the Sp(2n) skein algebra when the quantum parameter q is a root of unity. These elements are constructed by threading operations and proven central by skein-theoretic arguments. This talk is based on upcoming joint work with Vijay Higgins.
Note the unusual time and date!