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Bridgeland stability conditions on threefolds and birational

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If you have a question about this talk, please contact Mustapha Amrani.

Moduli Spaces

I will explain a conjectural construction of Bridgeland stability conditions on smooth projective threefolds. It is based on a construction of new t-structures. They produce a stability condition if we assume a conjectural Bogomolov-Gieseker type inequality for the Chern character of certain stable complexes.

In this talk, I will present evidence for our conjecture, as well as implications of the conjecture to the birational geometry of threefolds. In particular, it implies a weaker version of Fujita’s conjecture.

This is based on joint work with Aaron Bertram, Emanuele Macr and Yukinobu Toda.

This talk is part of the Isaac Newton Institute Seminar Series series.

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