Hodge theory in combinatorial geometry.

主讲人 Speaker:王博潼(威斯康星大学麦迪逊分校)
时间 Time:每周一、周三、周五 13:30 - 15:30
地点 Venue:四教102 (9月4、6、8);四教103(9月11、13)
课程日期:2023-9-4~2023-9-13

摘要: 

The purpose of these lectures is to give a survey on the recent resolution of two conjectures in matroid theory. The first one is the Heron-Rota-Welsh conjecture by Adiprasito-Huh-Katz, and the second one is the Dowling-Wilson conjecture by Braden-Huh-Matherne-Proudfoot-Wang. The main idea is to attach algebraic geometric invariants to a given matroid, and use ideas from Hodge theory to derive combinatorial properties. If time permits, we will also survey some ongoing developments of intersection cohomology of matroids and some new applications.


课程录像:

日期: 2023-09-04
录制文件:https://meeting.tencent.com/v2/cloud-record/share?id=b4403706-b232-4505-9c72-2b2127bc72d5&from=3
访问密码:MNEa


日期: 2023-09-06
录制文件:https://meeting.tencent.com/v2/cloud-record/share?id=d8133d44-a21f-4a39-96bd-262af084551e&from=3

访问密码:yTXJ


日期: 2023-09-08
录制文件:https://meeting.tencent.com/v2/cloud-record/share?id=09a3f3c6-de43-4a9c-9998-8e7287f06050&from=3
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日期: 2023-09-11
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访问密码:53zM

日期: 2023-09-13
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访问密码:cgGR