Topology Seminar- Quantum trace map for SL_n skein algebras of surfaces
Fri, 16 October, 2020
5:00pm
The next talk in the Greater Washington Area on Friday, October 16 from 1pm to 2pm EDT and will be held virtually via Zoom.
1. October 9, 2020: Charles Frohman (University of Iowa)
2. October 16, 2020: Thang T. Q. Lê (Georgia Institute of Technology)
3. October 23, 2020: Pierrick Bousseasu (ETH Zurich)
4. October 30, 2020: Micah Chrisman (Ohio State University)
5. November 13, 2020: Boštjan Gabrovšek (University of Ljubljana)
6. November 20, 2020: Razvan Gelca (Texas Tech University)
7. December 4, 2020: Helen Wong (Claremont McKenna College)
Speaker: Thang T. Q. Lé
Title: Quantum trace map for SL_n skein algebras of surfaces
Abstract: The quantum trace map, an algebra homomorphism from the Kauffman bracket skein algebra of a surface to a quantum torus associated to an ideal triangulation of the surface (the quantum Teichmuller space), was constructed by Bonahon and Wong and proved to be an important tool in the study of the Kauffman bracket skein algebra. We show that the SL_n skein algebra of a surface also has a quantum trace map, which for n=2 is the Bonahon-Wong quantum trace map. The SL_n quantum trace map is constructed via the splitting homomorphism for the stated SL_n skein algebra, developed in joint work with A. Sikora.
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Topic: GW Topology Seminar
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