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吴文俊数学重点实验室微分几何与分析系列讲座【Ziyu Zhang 】

题目: Introduction to Bridgeland stability conditions I&II

报告人: Dr. Ziyu Zhang (University of Bath)

时间: 4月8日 上午10:00-11:00

地点: 管理科研楼 1418

摘要: Given a smooth projective variety X, a powerful technique to study the bounded derived category of coherent sheaves on X is to study the Bridgeland stability conditions on this category. In these two talks, I will start by recalling the slope stability for vector bundles on a smooth projective curve as a motivating example of stability conditions. Then I will move on to the slightly abstract definition of stability conditions, and give more examples of stability conditions on algebraic curves and surfaces. To conclude, I will briefly mention one application of stability conditions in the study of birational geometry of moduli spaces of sheaves.

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