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Quadratic differentials as stability conditions

Smith, I (Cambridge)
Tuesday 05 April 2011, 11:30-12:30

Seminar Room 1, Newton Institute


I will explain how certain moduli spaces of meromorphic quadratic differentials arising in Teichmuller theory are related to spaces of stability conditions on the Fukaya categories of some particular quasi-projective Calabi-Yau 3-folds. These Fukaya categories can be described via Ginzburg algebras associated to quivers defined by triangulations of a Riemann surface; suitable triangulations are obtained from the foliations defined by generic quadratic differentials. This is joint work with Tom Bridgeland.


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