院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

拓扑研讨

Speaker:张硕(中国科学院数学与系统科学研究院)

Inviter:  周正一

Language: Chinese

TitleAinfinity multi-modules from quilts and applications

Time&Venue20251029星期三)14:00 - 15:00 & 晨兴110

AbstractInvariants defined by counting pseudo-holomorphic maps from Riemann surfaces with boundary are uniquitous in symplectic geometry, low dimensional topology and mathematical physics. Some examples include various types of Floer homologies, Fukaya categories and Gromov-Witten theory. In this talk I will give a short survey about a generalization of this developed by Wehrheim-Woodward called pseudo-holomorphic quilts. Then I will present some applications of quilted invariants including a proof of a conjecture of Seidel regarding the Floer homology of composed Dehn twists.

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