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太阳成集团tyc411

Wall-crossing structures and their applications in cluster algebras

来源:太阳成集团tyc411 发布时间:2021-01-19   339

报告人:牟浪 博士(德国Hausdorff Institute for Mathematics

时间:2021/1/19,上午10:00-11:30

    2021/1/20,下午3:30-5:00;

    2021/1/22,下午3:30-5:00

地点:工商楼200-9

Abstract
Lecture 1:
I will give an introduction to Kontsevich-Soibelman's wall-crossing structures with some motivating examples towards applications in cluster algebras and Donaldson-Thomas theory of quivers (with potentials).
Lecture 2: I will explain the definitions of Gross-Hacking-Keel- Kontsevich's cluster scattering diagrams and Bridgeland's stability scattering diagrams, their relations, and how they can be used to study the corresponding cluster algebras. They are examples of wall-crossing structures introduced in the last lecture.
Lecture 3: I will introduce some recent efforts to study cluster algebras of skew-symmetrizable types and Chekhov and Shapiro's generalized cluster algebras by generalizing previous scattering diagrams
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联系人:李方 fangli@zju.edu.cn

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