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京东 11.11 红包
Ciprian Manolescu:Khovanov Homology and Skein Lasagna Modules
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https://www.youtube.com/watch?v=LGR0HdCIzuY Prof. B L Sharma Higher Mathematics Trust Topology 22 Lecture Title: Khovanov Homology and Skein Lasagna Modules Speaker: Prof. Ciprian Manolescu (Stanford University) Date: December 22, 2022 Ciprian Manolescu是一位罗马尼亚裔美国数学家,从事规范场论(gauge theory),辛几何(symplectic geometry)和低维拓扑学(low-dimensional topology)的研究。他目前是美国斯坦福大学/Stanford University的数学教授。他在数学竞赛中拥有有史以来最好的记录之一:He holds the sole distinction of writing three perfect papers at the International Mathematical Olympiad: Toronto, Canada (1995); Bombay, India (1996); Mar del Plata, Argentina (1997)。He placed in the top 5 on the William Lowell Putnam Mathematical Competition for college undergraduates in 1997, 1998, and 2000。 Ciprian Manolescu在美国哈佛大学完成了本科学习和博士学位,师从Peter B. Kronheimer。他是2002年由AMS-MAA-SIAM联合颁发的Morgan Prize的获得者。他的本科论文是关于Finite dimensional approximation in Seiberg–Witten theory,他的博士论文题目是A spectrum valued TQFT from the Seiberg–Witten equations。2013年初,他发表了一篇论文,详细介绍了对5维及以上流形的triangulation conjecture的反驳。由于这篇论文,他获得了美国数学学会颁发的E. H. Moore Research Article Prize。他是Clay Research Fellowship(2004-2008)的获得者之一。2012年,他因其在低维拓扑学方面的工作,特别是他在组合Heegaard Floer同调发展中的作用而获得欧洲数学学会的十个奖项之一。他被选为2017年美国数学学会class of Fellows的成员,“以表彰他对Floer同调和流形拓扑的贡献”。2018年,他受邀在里约热内卢举行的国际数学家大会(ICM)上发表演讲,演讲主题是《Homology cobordism and triangulations》。2020年,他获得了Simons Investigator Award。引文写道:“Ciprian Manolescu从事低维拓扑学和规范场理论的研究。他的研究重点是构建新版本的Floer同调并将其应用于拓扑学问题。与合作者一起,他证明了许多Floer-theoretic invariants在算法上是可计算的。他还开发了Seiberg-Witten Floer同调的新变体,他用它来证明高维non-triangulable流形的存在。“ Ciprian Manolescu Homepage:https://web.stanford.edu/~cm5/ ICM2018 Ciprian Manolescu——Homology cobordism and triangulations:BV1cm4y1z7Fv Ciprian Manolescu——四维流形中的曲面和Khovanov homology:BV1H34y1J7rM Ciprian Manolescu——Khovanov homology和寻找exotic 4-spheres:BV1BW4y117hy Ciprian Manolescu——A knot Floer stable homotopy type:BV11M4y127Qi Ciprian Manolescu——什么是Floer homotopy类型?:BV1x24y1j7ce
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Radmila Sazdanović:Khovanov Homology and Categorifcation 02
Roman Krutowski:Maslov Index Formula in Heegaard Floer Homology
Radmila Sazdanović:Khovanov Homology and Categorifcation 01
Jean Gutt:Equivariant Symplectic Homology
Tobias Ekholm:Skein module curve counts and recursion
Ciprian Manolescu:A knot Floer stable homotopy type
Brayan Ferreira:Gromov Width of Disk Cotangent Bundles of Spheres of Revolution
Tobias Ekholm:colored HOMFLY polynomial的高亏格纽结切触同调和recursion
Ciprian Manolescu:什么是Floer homotopy类型?
Tomasz Mrowka:Floer homology——4.2
Mohammed Abouzaid:Complex cobordism and Hamiltonian fibrations
【CIRM】Leonid Polterovich:Persistence modules和Hamilton微分同胚——01
Egor V. Shelukhin:Lagrangian configurations和Hamiltonian maps
Dusa McDuff:将椭球体嵌入Hirzebruch曲面-Symplectic embeddings of 4-dimensional ellipsoids
Lisa Piccirillo:Exotic Phenomena in dimension 4
Ciprian Manolescu:拓扑量子场论TQFT&Witten-Reshetikhin-Turaev&数学规范理论&低维拓扑&纽结理论&Floer同调2
Tobias Ekholm:Holomorphic curves on knot conormals
Jake Rasmussen:Introduction to Knot Theory——4.1
Leonid Polterovich:Approximate representations and quantization
Yakov Eliashberg:How far symplectic flexibility may go
Tomasz Mrowka:Floer homology——4.3
Joe Breen:Gluing a Morse flow line to itself——I
Felix Schlenk:辛嵌入的刚性的多种形式(Symplectic Embeddings)
Vivek Shende:Axiomatics of the wrapped Fukaya category
Aliakbar Daemi:Equivariant Singular瞬子同调, I: Applications to 4D clasp number
Tomasz Mrowka:Floer homology——1.2
Jake Rasmussen:Introduction to Knot Theory——2.3
Michael Hutchings:Braid Stability for Periodic Orbits of Area-preserving曲面微分同胚
Jake Rasmussen:Introduction to Knot Theory——4.3
Yakov Eliashberg:The program of arborealization
Claude Viterbo:Symplectic Homogenization
Tomasz Mrowka:Floer homology——3.1
【Fields Institute】Mohammed Abouzaid:Bordism of manifolds——1
Claude Viterbo:Symplectic metrics and stochastic Hamiltonian PDE
【WHVSS】Sobhan Seyfaddini:Area-preserving同胚群的代数结构(the simplicity conjecture)
Jake Rasmussen:Introduction to Knot Theory——2.2
ICM2018 Ivan Smith:辛拓扑中的稳定性条件
Claude Viterbo:Area preserving maps-the symplectic viewpoint
Jo Nelson&Morgan Weiler:ECH of prequantization bundles and lens spaces
Sobhan Seyfaddini:C^0 Limits of Hamiltonian Paths and Spectral Invariants