An introduction to Bridgeland stability conditions and its application

来源 :2016数学青年学者论坛(2016 Young Mathematician Forum) | 被引量 : 0次 | 上传用户:luoning5188
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  The notion of stability condition on a triangulated category has been introduced by Bridgeland around ten years ago.Ill give an introduction to some related concepts in the study of this field,and explain how to visualize the space of stability condition via some simple cases.Ill mainly talk about three related topics/applications: birational geometry via wall-crossing; Chern classes of stable objects; Brill-Noether theory.
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