25. Nov 2021

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

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Datum: 25. November 2021 | 14:00 – 16:00
Sprecher: Pierrick Bousseau, ETH Zürich
Veranstaltungsort: 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.

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Datum:
25. November 2021
14:00 – 16:00

Sprecher:
Pierrick Bousseau, ETH Zürich

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

Ansprechpartner:

Birgit Oosthuizen-Noczil

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

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