A symplectic analogy of Hodge theory I-清华大学求真书院

研讨班

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A symplectic analogy of Hodge theory I

来源： 10-23

时间：2023-10-23 Mon 14:30-16:00

地点：A3-4-101 ZOOM: 230 432 7880（PW: BIMSA）

组织者：Matthew Burfitt, Tyrone Cutler, Jingyan Li, Jie Wu, Jiawei Zhou

主讲人：iawei Zhou BIMSA

Abstract

In analogous to the Hodge theory, Tsai, Tseng and Yau constructed a novel cochain complex on symplectic manifolds, based on the Lefschetz decomposion. Its cohomology is closely related to the de Rham cohomology, but also carries the information of the symplectic form. In the talk we will go through the definition and properties of this cochain complex.

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书院学术

A symplectic analogy of Hodge theory I

Non-abelian Hodge theory and higher Teichmüller spaces

Symplectic Aspects of Representation Theory of Hypertoric Varieties

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