Wednesday, July 3rd, 2024
Workshop Mini-course 2: John Pardon
Time: 9:30 AM - 10:45 AM
Location: SCGP 102
Title: Derived moduli spaces of pseudo-holomorphic curves
Speaker: John Pardon
Abstract: We will discuss how to construct moduli spaces of pseudo-holomorphic curves as derived log smooth manifolds using the framework of representable functors.
Title: Derived moduli spaces of pseudo-holomorphic curves
Speaker: John Pardon
Abstract: We will discuss how to construct moduli spaces of pseudo-holomorphic curves as derived log smooth manifolds using the framework of representable functors.
Workshop Mini-course 2: Chenyang Xu
Time: 11:30 AM - 12:45 PM
Location: SCGP 102
Title: K-moduli space of Fano varieties
Speaker: Chenyang Xu
Abstract: Moduli of varieties is a central topic in algebraic geometry. In the last decade, one of the most exciting stories in algebraic geometry is the observation that K-stability can be used to provide a robust moduli theory of Fano varieties, which are varieties with an ample first Chern class. Its construction uses a wide range of tools, from different subfields of algebraic geometry. In this mini-course, I will explain the notion of K-stability, sketch the construction of the K-moduli space, as well as prove its some fundamental properties.
Title: K-moduli space of Fano varieties
Speaker: Chenyang Xu
Abstract: Moduli of varieties is a central topic in algebraic geometry. In the last decade, one of the most exciting stories in algebraic geometry is the observation that K-stability can be used to provide a robust moduli theory of Fano varieties, which are varieties with an ample first Chern class. Its construction uses a wide range of tools, from different subfields of algebraic geometry. In this mini-course, I will explain the notion of K-stability, sketch the construction of the K-moduli space, as well as prove its some fundamental properties.
Workshop Mini-course 3: Eleny Ionel
Time: 2:30 PM - 3:30 PM
Location: SCGP 102
Title: Moduli spaces of pseudo-holomorphic curves: a glimpse into their structure
Speaker: Eleny Ionel
Abstract: We begin with an overview of the moduli spaces of pseudo-holomorphic curves, typically used to define enumerative invariants of symplectic manifolds such as the Gromov-Witten invariants. We then focus on structure results for the Gromov-Witten invariants of symplectic 6-dimensional manifolds. We present the introductory background, some of the analytic and topological techniques involved, which will be combined into a proof outline.
Title: Moduli spaces of pseudo-holomorphic curves: a glimpse into their structure
Speaker: Eleny Ionel
Abstract: We begin with an overview of the moduli spaces of pseudo-holomorphic curves, typically used to define enumerative invariants of symplectic manifolds such as the Gromov-Witten invariants. We then focus on structure results for the Gromov-Witten invariants of symplectic 6-dimensional manifolds. We present the introductory background, some of the analytic and topological techniques involved, which will be combined into a proof outline.