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Jiuzhang Forum: Lecture 463

Invited by School of Mathematics and Statistics, assistant Prof. Fan Qin fromShanghai Jiao Tong Universitywill give a lecture online.

Title:Bracelets are theta functions

Time:3:30 p.m.,Nov.4th, 2021

Conference ID:990 744 439( Tencent Conference)

Abstract:It is known that the bracelets form a basis for the Skein algebra associated with an unpunctured surface. We construct quantum bracelets for quantum cluster algebras arising from the surface possibly with punctures. We further show that the quantum bracelets coincide with the quantum theta functions. Long standing conjectures such as strong positivity and atomicity follow as consequences. This is a joint work with Travis Mandel.

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