7 月14 日上午10:00-10:30 签到

报告人: 张科伟教授(北京师范大学 )

题 目:Volume comparison theorems for Kahler manifolds with positive Ricci curvature

时间地点:10:30-11:30,南楼202

摘要:A result of Kento Fujita says that the volume of a Kahler –Einstein Fano manifold is bounded from above by the volume of the projective space. In this talk we discuss generalizations of this result and also present a quantized version of Fujita’s result.

7 月14 日上午11:40-12:30 午餐

报告人: 刘海东副教授(中山大学)

题 目:A Kawamata-Miyaoka type inequality

时间地点:13:00-14:00,晨兴110

摘要:In the classification of (weak) Fano varieties, Kawamata-Miyaoka type inequalities which concern the relations between the first and the second Chern classes play an important role. In this talk, I will show some recent progress on these inequalities and their application in the classification of terminal/canonical Fano threefolds. If time permits, I will also discuss some progress in dimension 4. Part of these series works are jointed with Masataka Iwai, Chen Jiang, and Jie Liu.

报告人: Shang Xu(加州大学伯克利分校)

题 目:Maximal Cohen-Macaulay Modules on Symplectic Singularities

时间地点:14:30-16:00,晨兴110

摘要:We construct maximal Cohen-Macaulay sheaves on higher dimensional symplectic singularities using coherent duality on Nakajima quiver varieties. We also study the classification of G-equivariant maximal Cohen-Macaulay sheaves on the minimal nilpotent orbits and establish an equivalent criterion in terms of the characters of the corresponding representations of the stabilizer subgroup.