Quantum cluster positivity and cohomological Donaldson-Thomas theory

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• Balazs Szendroi
• Wednesday 27 November 2013, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

I explain the cluster positivity conjecture of Fomin-Zelevinsky (now a theorem of Schiffler and Lee) and its quantum version due to Berenstein-Zelevinsky. I show, following Nagao and Efinov, how a cohomological version of Donaldson-Thomas theory enters this quantum picture. I finally explain how a purity result proves a special, and possibly the general, case of the quantum cluster positivity conjecture (joint work with Davison, Maulik, Schuermann).

This talk is part of the Algebraic Geometry Seminar series.

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