Program(会议议程安排)

13 Dec., Morning

Venue 地点： Science Building 理科大楼 A504

Schedule:
时间 :

  8:30 -  8:45

Opening Ceremony

  8:45 -  9:05

Photograph taking

Chairman YuanLong Xin

  9:15 -10:15

YanYan Li , Rutgers University

The Yamabe problem and a fully nonlinear version of it

10:15 - 10:30

Tea Break

10:30 - 11:30

F. Pacard, University of Paris12, France

Constant Mean Curvature hypersurface in Riemannian manifold
 

13 Dec. , Afternoon

Venue 地点： Science Building 理科大楼 A504

Chairman YanYan Li

Schedule:
时间 :

14:00 - 15:00

L. F. Tam,  The Chinese University of HongKong

Plurisubharmonic functions and some applications

15:10 - 15:40

ZhengQi Li, Nanchang University

                    TBA

15:40 - 16:00

Tea Break

16:00 - 17:00

Yu Zheng,  East China Normal University

                  TBA

17:30

Banquet

 

14 Dec., Morning

Venue 地点： Science Building 理科大楼 A504

Chairman YiBing Shen

Schedule:
时间 :

  8:30 -  9:30

YuanLong Xin,  Fudan University

Vanishing Theorems for L^2 cohomology

  9:40 - 10:10

Xi Zhang, Zhejiang University

Compactness theorems of coupled Yang-Mills fields

10:10 - 10:30

Tea Break

10:30 - 11:30

HuaiDong Cao, Lehigh University

Second variation of Perelman's functional and Stability of Ricci solitons
 

14 Dec. ,Afternoon

Venue 地点： Science Building 理科大楼 A504

Chairman F. Pacard

Schedule:
时间 :

14:00 -15:00

B. Chow, University of California, San Diego

               TBA

15:15 -

City Sightseeing and Banquet

 

15 Dec., Morning

Venue 地点： Science Building 理科大楼 A504

Chairman   L.F.Tam

Schedule:
时间 :

  8:30 -  9:30

Min Ji,  Chinese Academy of Sciences

Singular harmonic maps

  9:40 - 10:10

Qun Chen, Hua Zhong Normal University

                  TBA

10:10 -10:30

Tea Break

10:30 -11:30

XiaoHua Zhu, Peking University

Canonical metrics on toric manifolds
 

15 Dec., Afternoon

Venue 地点： Science Building 理科大楼 A504

Chairman   Ji Min

Schedule:
时间 :

14:00 - 15:00

Lei Ni,  University of California, San Diego

Ancient Solution to Kahler Ricci flow

15:10 - 15:40

GangSong Leng, Shanghai University

For harmonic quermassintegrals

15:40 - 16:00

Tea Break

16:00 - 17:00

WeiPing Zhang,  Nankai Institute of Mathematics

TBA

 

16 Dec., Morning

Venue 地点： Science Building 理科大楼 A504

Chairman  B. Chow

Schedule:
时间 :

  8:30 -  9:30

XuJia Wang,  Australia National University

Boundary value problem for the affine maximal surface equation

  9:40 -10:10

Pan Liu,  East China Normal University

               TBA

10:10 -10:30

Tea Break

10:30 -11:30

XiaoNan Ma, Ecole Polytechnique

Generalized Bergman kernels on symplectic manifolds
 

会议报告摘要
Generalized Bergman kernels on symplectic manifolds
XiaoNan Ma  
Ecole Polytechnique
ABSTRACT: We study the near diagonal asymptotic expansion of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle over a compact symplectic manifold. We show how to compute the coefficients of the expansion by recurrence and give a closed formula for the first two of them. As consequence, we calculate the density of states function of the Bochner-Laplacian and establish a symplectic version of the convergence of the induced Fubini-Study metric. We also discuss generalizations of the asymptotic expansion for non-compact or singular manifolds as well as their applications.  
　
Ancient Solution to Kähler Ricci flow
Lei Ni
University of California, San Diego
ABSTRACT: We discuss two generalizations on results of Perelman and their consequences in the study of Kähler manifolds and Kähler-Ricci flow.
　
Plurisubharmonic functions and some applications
L. F. Tam
The Chinese University of Hong Kong
ABSTRACT: Heat flow with plurisubharmonic initial data on complete noncompact Kähler manifolds will be discussed. Results will be applied to study complete noncompact Kähler manifolds with nonnegative curvature.
　

Vanishing Theorems for L^2 cohomology
YuanLong Xin
Fudan University
ABSTRACT: We prove vanishing theorems for L^2 cohomology in classifying spaces and conformally compact manifolds.
　

Compactness theorems of coupled Yang-Mills fields
Xi Zhang
Zhejiang  University
ABSTRACT: One coupled Yang-Mills field means one pair consisting of one connection and one Higgs field which satisfy the Yang-Mills-Higgs equations. When the Higgs field is trivial then a coupled Yang-Mills field is just a Yang-Mills field. In this talk, I'll introduce two compactness theorems for coupled Yang-Mills fields.
　

Canonical metrics on toric manifolds

XiaoHua Zhu

Pekin University

ABSTRACT: In this talk, I will show the existence problem of Kähler-Ricci solitons on such manifolds by using the continuity method as well as by using the Kähler-Ricci flow.