《复几何与奇性理论》会议学术报告

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4月18日上午  (紫金山庄会议室)

报告人：王国芳教授  （德国弗赖堡大学）

题目： The Gauss-Bonnet-Chern mass

摘要：In this talk we introduce a mass by using the Gauss-Bonnet-Chern curvature 
for asymptotically flat and asymptotically hyperbolic manifolds. Then we will 
discuss the Penrose type inequalities. The talk bases on the joint work with 
Yuxin Ge, Jie Wu, and also with Chao Xia.


报告人：陈兵龙教授 （中山大学）

题目：Moduli spaces of PIC metrics on four-manifolds

摘要：It is well-known that the moduli space of positive scalar curvature metrics
on two sphere is path-connected. In dimension 3, this is still true by recent work
of Marques. In dimension 4, this is an extremly difficult problem. In this talk, I
will discuss the path-connectedness of moduli spaces of positive isotropic curvature 
metrics on four-manifolds. A byproduct is that the moduli space of PIC metrics on 
four-sphere is path-connected. This talk is based on a joint work with X.T. Huang. 


报告人：张振雷教授  （首都师范大学）

题目：Brunn-Minkowski type inequality and uniqueness of Kahler-Einstein metrics 

摘要：I will follow Berndtsson to give a talk about a Brunn-Minkowski inquality of 
volume functional on positive line bundles and its application to the uniqueness 
problem of Kahler-Einstein metrics. Certain singularities of the Kahler-Einstein 
metrics are allowed.  The reference is Berndtsson's paper "A Brunn-Minkowski type 
inequality for Fano manifolds and some uniqueness theorems in Kahler geometry", 
arXiv:1303.4975.


报告人：王枫博士  （北京大学）

题目：K-stability in Kaehler-Ricci solitons

摘要：The notion of K-stability was introduced by Tian and rephrased in an algebraic 
way by Donaldson. Recently, Yau-Tian-Donaldson conjecture for the existence of 
Kaehler-Einstein metric was solved by Tian and Chen-Donaldson-Sun independently. In 
this talk, I want to explain Berman et al's idea to define  K-stability for Kaehler-Ricci 
solitons. The  results in their paper related with the necessary and sufficient conditions 
for the existence of Kaehler-Ricci solitons will be proved.


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4月19日上午  （南京大学蒙民伟楼1105报告厅）

报告人：张伟平院士   （南开大学）

题目：Eta invariant and modular forms

摘要： We describe a recent joint work with Fei Han on the modularity of eta invariants.


报告人：陈柏辉教授 （四川大学）

题目：On symplectic singular flops

摘要：As flops relate to conifold singularities, the local singular flops related to 
orbi-r-conifolds are constructed. On the other hand, the existence of global flops 
has obstructions. By studying this obstruction, we construct the global singular flops.
We prove that the Ruan cohomology rings are preserved  by singular flops.


报告人：张希教授  （中国科学技术大学）

题目：Twisted Kahler-Ricci flow and conical Kahler-Ricci flow

摘要：In this talk, we talk about the relationship between twisted Kahler-Ricci flow 
and conical Kahler-Ricci flow, and introduce our recent work (jiont with Liu Jiawei) 
on conical Kahler-Ricci flow.


报告人：关启安博士  （北京大学）

题目：L^2 extension problem and strong openness conjecture

摘要：In this talk, we’ll present some recent results about L^2 extension problem with 
optimal estimate and Demailly's strong openness conjecture. This is joint work with 
Professor Xiangyu Zhou.


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