报告题目1：A characterization of uniruled Kaehler manifolds

报告人：欧文浩，中国科学院

报告时间：2025年7月21日（周一）8:30-9:30

报告地点：20-200

报告摘要：We adapt Bost's algebraicity characterization to the situation of a germ in a compact Kaehler manifold. As a consequence, we extend the algebraic integrability criteria of Campana-Paun and of Druel to foliations on compact Kaehler manifolds. As an application, we prove that a compact Kaehler manifold is uniruled if and only if its canonical line bundle is not pseudoeffective.

报告人简介：欧文浩，中国科学院数学与系统科学研究院副研究员，2009至2013年就读于巴黎高师、巴黎七大；2015年在格勒诺布尔阿尔卑斯大学获博士学位；此后在波恩大学、加州大学洛杉矶分校访问学习，并于2019年加入中国科学院。欧文浩的研究方向为复几何中的正性和流形分类问题。他的主要工作包括，证明了三维凯勒流形的丰沛猜想、带奇点的Bogomolov不等式和凯勒流形的单直纹判断法则等。

报告题目2：Isotropic points in the Balmer spectrum of stable motivic homotopy categories

报告人：杜鹏，浙江师范大学

报告时间：2025年7月21日（周一）9:45-10:45

报告地点：20-200

报告摘要：I will discuss the tensor-triangulated geometry of the stable motivic homotopy category SH(k) and a big family of the so-called isotropic realisation functors, parameterized by the choices of a Morava K-theory and an extension of the base field k (of characteristic zero). By studying the target category of such an isotropic realisation functor, we are able to construct the so-called isotropic Morava points of the Balmer spectrum Spc(SH(k)^c) of the stable motivic homotopy category SH(k). Based on joint work with A. Vishik.

报告题目3：On Hermitian manifolds with constant curvature

报告人：汤凯，浙江师范大学

报告时间：2025年7月21日（周一）11:00-12:00

报告地点：20-200

报告摘要：A long-standing conjecture predicts that a compact Hermitian manifold with constant  holomorphic sectional curvatur is Kaehler if λ≠0 and Chern-flat if λ=0. We will discuss the validity of this conjecture under additional conditions. Similarly, we also study the constant mixed curvature C_a,b=λ. We prove that if a compact Hermitian surface with constant mixed curvature λ, then the Hermitian metric must be Kaehler unless λ=0 and 2a+b=0.

邀请人：倪磊