Nov 25, 2021

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

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date: November 25, 2021 | 2:00 pm – 4:00 pm
Speaker: Pierrick Bousseau, ETH Zürich
Location: https://mathseminars.org/seminar/AGNTISTA

The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the SL_2 character 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 the 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.

More Information:

Date:
November 25, 2021
2:00 pm – 4:00 pm

Speaker:
Pierrick Bousseau, ETH Zürich

Location:
https://mathseminars.org/seminar/AGNTISTA

Contact:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

Share



Back to Top