Title: The skein algebra of the 4-punctured sphere from curve counting
Speaker: Pierrick Bousseau
Speaker Info: Paris-Saclay
Brief Description: Research Talk
Meeting ID: 988 8144 3994Date: Thursday, November 12, 2020
Meeting Password: First word of the name of the seminar (in small letters)
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.