Summer School 2021: Enumerative Geometry, Physics and Representation Theory

Collection Summer School 2021: Enumerative Geometry, Physics and Representation Theory

Organizer(s) Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov

Date(s) 05/07/2021 - 16/07/2021

linked URL https://indico.math.cnrs.fr/event/5382/

00:00:00 / 00:00:00

30 39

The Skein Algebra of the 4-punctured Sphere from Curve Counting

By Pierrick Bousseau

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 2-punctured torus.

Information about the video

Date of recording 05/07/2021
Date of publication 06/07/2021
Institution IHES
Language English
Audience Researchers, Graduate Students
Director(s) Mandarine Audiovisuel
Format MP4

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Slides

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