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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > An Algebraic Variety Related to Tau-Tilting Theory

## An Algebraic Variety Related to Tau-Tilting TheoryAdd to your list(s) Download to your calendar using vCal - Hugh Thomas (Université du Québec à Montréal)
- Monday 08 November 2021, 13:00-13:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. CARW03 - Interdisciplinary applications of cluster algebras Let A be a finite-dimensional algebra of finite representation type. I will describe an affine algebraic variety whose totally non-negative part reflects the combinatorics of the tau-tilting fan of A. Starting from a Dynkin quiver, one obtains something closely related to the corresponding Fock–Goncharov cluster X variety, while in general, points on (one component of) the variety can be given in terms of ratios of F-polynomials; the upshot is that this construction can be viewed as an extension of some of the beautiful features of cluster algebras to a more general setting. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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