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Bridgeland stability conditions

4:00 pm Thursday, November 7, 2013
Emanuele Macrì (Ohio State)

Stability conditions on a derived category were originally introduced by Bridgeland to give a mathematical foundation for the notion of \Pi-stability in string theory, in particular in Douglas’ work. Recently, the theory has been further developed by Kontsevich and Soibelman, in relation to their theory of motivic Donaldson-Thomas invariants for Calabi-Yau categories, and by several others, in connection with birational geometry of moduli spaces of sheaves. In this talk we will review the existing theory, and show applications (part of them, conjectural) to questions in Algebraic Geometry. This is based on joint work with A. Bayer, A. Bertram, and Y. Toda.

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