Bridgeland stability conditions on threefolds and birational geometry
Duration: 59 mins 26 secs
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About this item
| Description: |
Bayer, A (Connecticut)
Monday 04 April 2011, 14:00-15:00 |
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| Created: | 2011-04-11 11:07 | ||||
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| Collection: | Moduli Spaces | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Bayer, A | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | 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 Macrì and Yukinobu Toda. |
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