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Quadratic differentials as stability conditions

Tuesday 5th April 2011 - 11:30 to 12:30
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons