辛拓扑与物理讨论班

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辛拓扑与物理讨论班

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30

2025-06

辛拓扑与物理讨论班——Novikov ring from microlocal sheaves

报告人：张秉宇（University of Southern Denmark）时间：2025年7月9日，14:00-15:30地点：海纳苑2幢203室摘要：In this talk, I explain how to relate the Novikov ring and microlocal sheaf theory based on the works of Tamarkin and Vaintrob. This relation has been successfully applied to irregular Riemann-Hilbert correspondence and symplectic geometry, and recently, Scholze revealed certain potential appli...

08

2025-01

辛拓扑与物理讨论班——On Isotopy Problems of Lagrangian Spheres on Algebraic Surfaces

报告人：刘思阳（University of Southern California）时间：2025年1月9日，16:15-17:30地点：海纳苑2幢102摘要：In this talk, I'll introduce the isotopy problems for Lagrangian spheres in algebraic surfaces. Smooth isotopy problems on rational surfaces are resolved by work of Matthew Borman, Tian-Jun Li and Weiwei Wu, while for non-rational surfaces little is known. I'll present my recent work w...

19

2024-12

辛拓扑与物理讨论班——A Morse A-infinity model for the higher-dimensional Heegaard Floer homology of cotangent fibers

报告人：袁天宇（宁波东方理工大学）时间：2024年12月19日（周四）11:00地点：海纳苑2幢105室摘要：Given a smooth closed n-manifold M and a k-tuple of basepoints in M, we define a Morse-type A∞-algebra called the based multiloop A∞-algebra and show the equivalence with the higher-dimensional Heegaard Floer A∞-algebra of k disjoint cotangent fibers of T*M. 联系人：吴惟为（wwwu9693@zju.edu.cn）

09

2024-12

辛拓扑与物理讨论班——Universal constraints for Hodge integrals

报告人：王新（山东大学）时间：2024年12月9日，14：00地点：海纳苑2幢720摘要：Motivated by Virasoro conjecture for Gromov-Witten invariants, we will propose several new conjectures for hodge integrals with target varieties. Then we will discuss recent results on these conjectures. 联系人：吴惟为（wwwu9693@zju.edu.cn）

14

2024-11

辛拓扑与物理讨论班—— Lectures on Seiberg-Witten theory

报告人：Hokuto Konno（The University of Tokyo）时间/地点：2024年11月14日（周四）14:00-15:30，海纳苑206 2024年11月15日（周五）14:00-15:30，海纳苑203 2024年11月18日（周二）14:00-15:30，海纳苑820摘要：In this series of talks, I will give the definition of Seiberg-Witten invariants, and explain briefly the gluing formula when we perform connected sums.联系人：吴惟为（wwwu9693...

24

2024-10

辛拓扑与物理讨论班——Kahler compactification of C^n and Reeb dynamics

报告人：周正一（中国科学院数学与系统科学研究院）时间：2024年10月30日14:00-15:30地点：海纳苑2幢206摘要：We will present two results in complex geometry: (1) A Kahler compactification of C^n with a smooth divisor complement must be P^n, which confirms a conjecture of Brenton and Morrow (1978) under the Kahler assumption; (2) Any complete asymptotically conical Calabi-Yau metric on C^3 with a smooth ...

14

2024-10

辛拓扑与物理讨论班——Operadic Structures in Floer theory

报告人：Mohammed Abouzaid，（Stanford University）时间：2024年10月18日（周五）10:30-11：30地点：海纳苑2幢206摘要：Floer homology groups carry a wealth of operations coming from moduli spaces of pseudo-holomorphic curves. These operations lift to the chain level, but except for the case of discs, it is difficult to write formulae for all of them. I will explain recent work with Groman and Varolgune...

03

2024-06

辛拓扑与物理讨论班——Global Kuranishi Charts for Moduli Spaces of Pseudoholomorphic Bordered Riemann Surfaces

报告人：Sam Bardwell-Evans（Institute for Basic Science）时间：2024年6月4日，14:00-16:00地点：海纳苑2幢106室摘要：Moduli spaces of pseudoholomorphic curves, discs, and other bordered Riemann surfaces have been central to symplectic geometry since the works of Gromov and Floer in the 1980s. These moduli spaces are in general highly singular and require some regularization to be useful. One of the m...

14

2024-05

辛拓扑与物理讨论班——$BV_\infty$ quantization of (-1)-shifted derived Poisson manifolds

报告人：徐平（教授，宾夕法尼亚州立大学）时间：2024年5月28日，14:00-16:00 地点：海纳苑2幢102摘要：In this talk, we will give an overview of (-1)-shifted derived Poisson manifolds in the $C^\infty$-context, and discuss the quantization problem. We describe the obstruction theory and prove that the linear (-1)-shifted derived Poisson manifold associated to any $L_\infty$-algebr...

30

2024-04

辛拓扑与物理讨论班——On a kind of generalized Frobenius manifolds and the associated integrable systems

报告人：周春辉（教授，中国科学技术大学）时间：2024年5月7日，下午14:00地点：海纳苑2幢102室摘要：In this talk, we will discuss a kind of integrable systems whose associated Frobenius manifolds have no Euler vector fields. They can be viewed as the almost dualities of the Frobenius manifolds associated with extended Toda hierarchy and Ablowitz-Ladik hierarchy. We will also show how to use this result...

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