会议时间:2021年11月4日-11月6日  

  会议地点:东吴饭店

Title: Semistable Vector Bundles on Rational Homogeneous spaces

 Speaker: 方馨怡(南京大学)

 Abstract: In the last decades, there has been a growing body of research on the  stability of vector bundles on projective varieties. In this talk, I will introduce the crucial concept of stability of holomorphic vector bundles over P^n. In particular, the Grauert-Mulich-Barth theorem on projective spaces will be recalled. Furthermore, I will talk about the generalized Grauert-Mulich-Barth theorem on rational homogeneous spaces. This is based on a joint work with Rong Du and Yun Gao.

 Title: Algorithms about fundamental groups of Galois covers and planar degenerations

Speaker: 莫佳丽(苏州大学)

 Abstract: In this talk, we mainly study some special degerations such as planar Zappatic degenerations and non-planar degenerations. We use the braid group technique to study the fundamental groups of the Galois covers of above degerations. Our talk will also disscuss the moduli space of such degerations. We also give some open questions.

Title: Mordell-Weil Lattices  and Del Pezzo  Surfaces

Speaker: 龚成(苏州大学)

 Abstract: In this talk, we will introduce the concept of Del Pezzo Surfaces and Mordell-Weil Lattices. We use the Weierstrass transformation to study the relations between the Del Pezzo Surfaces and Mordell-Weil Lattices. We will also give some new poofs of the classic theorems.

 Title: A survey on Kawaguchi-Silverman conjecture

Speaker: 李思辰(复旦大学)

 Abstract: We first give the Historical note on the Kawaguchi–Silverman conjecture (KSC for short). Joint with Yohsuke Matsuzawa, we discuss certain conditions on automorphism groups of projective varieties and positivity conditions on leading real eigendivisors of  self-morphisms and then prove KSC for endomorphisms on projective bundles on a smooth Fano variety of Picard number one. Recently, we study KSC for automorphisms of projective 3-folds.

Title: On the singularity indices of hyperelliptic fibrations

Speaker: 郭志明(华东师范大学)

Abstract: In this talk, we will mainly concerned with the singularity indices of hyperelliptic fibrations, we obtain a lower bound of the 2nd-singularity index and construct a series of examples in local case that have 2nd-singularity indices can be arbitrary small as genera increase. We would also talk some related topics.