Bracelets are theta functions
Duration: 40 mins 21 secs
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About this item
| Description: |
Professor Fan Qin (Shanghai Jiao Tong University)
11th November 2021 | 13:45 - 14:15 |
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| Created: | 2021-11-12 11:00 |
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| Collection: | Cluster algebras and representation theory |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | Professor Fan Qin |
| Language: | eng (English) |
| 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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