Topology Seminar- The skein algebra of the 4-punctured sphere from curve counting

The next talk in the Greater Washington Topology Seminar is on Friday, October 23 from 1pm to 2pm EDT and will be held virtually via Zoom. 

1. October 2, 2020: Louis H. Kauffman (University of Illinois at Chicago and Novosibirsk State University)

2. October 9, 2020: Charles Frohman (University of Iowa)

3. October 16, 2020: Thang T. Q. Lê (Georgia Institute of Technology)

4. October 23, 2020: Pierrick Bousseau (ETH Zurich)

5. October 30, 2020: Micah Chrisman (Ohio State University)

6. November 13, 2020: Boštjan Gabrovšek (University of Ljubljana)

7. November 20, 2020: Razvan Gelca (Texas Tech University)

8. December 4, 2020: Helen Wong (Claremont McKenna College) 

Speaker: Pierrick Bousseau

Title: The skein algebra of the 4-punctured sphere from curve counting

Abstract: The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the SL_2 character variety of a topological surface. I will explain how to realize the skein algebra of the 4-punctured sphere as the output of a mirror symmetry construction based on higher genus Gromov-Witten invariants of a log Calabi-Yau cubic surface. This leads to a proof of a previously conjectured positivity property of the bracelets bases of the skein algebras of the 4-punctured sphere and of the 1-punctured torus.

 

The Zoom information is listed below (it is the same as last time): 

Topic: GW Topology Seminar 

Join Zoom Meeting

Meeting ID: 951 840 9059

Password: The last name of the Fields Medalist famous for his work on von Neumann algebras and knot polynomials; first letter capitalized.