Program

Program

Program for The 3rd Australia-China joint conference on geometric analysis.

Monday

11.50-12.00 Arrival & Reception: at The Pavilion Kiama

12.00-1.20 Lunch: served at The Pavilion Kiama

1.25-1.30 Opening remark

1.30-2.15 Enrico Valdinoci: Sheet happens (but only as the root of 1-s)

2.15-3.00 Xin Zhou: Existence of four minimal spheres in 𝑆! with a bumpy metric

3.00-3.20 Afternoon Tea

3.20-4.05 Zhou Zhang: Mean curvature flow in almost Fuchsian manifold and generalisations

4.05-4.50 Jian Lu: Some recent results on Minkowski type problems

Tuesday

8.40-9.25 Gang Tian: Bounding curvature for Kähler-Ricci flow at finite time

9.25-10.10 Xiaohua Zhu: Complete steady Ricci solitons with positive curvature away from a compact set

10.10-10.30 Morning Tea

10.30-11.15 Bing-Long Chen: Local regularity of the Einstein equations under Ricci curvature and Lie derivative conditions

11.15-12.00 Serena Dipierro: Boundary behavior of solutions to fractional elliptic problems

12.00-1.30 Lunch: served at The Pavilion Kiama

1.30-2.15 Xiaoping Yang: Measure upper bounds of nodal sets of solutions to Dirichlet problem of Schrödinger equations

2.15-3.00 Xi Zhang: On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles

3.00-3.20 Afternoon Tea:

3.20-4.05 Genggeng Huang: Free boundaries for elliptic and parabolic Monge-Ampère equations

4.05-4.50 Qi-Rui Li: Some variational problems from functionals with duality

Wednesday

8.40-9.25 Ben Andrews: (Two)-convex cores and hypersurface flows in Riemannian manifolds

9.25-10.10 Yuguang Shi: Non-compact manifolds with positive scalar curvature

10.10-10.30 Morning Tea

10.30-11.15 Hongyi Sheng: Localized deformation of the scalar curvature and the mean curvature

11.15-12.00 Min Zhang: Practical Impacts of Optimal Mass Transport

12.00-1.30 Lunch: served at The Pavilion Kiama

1.30-2.15 Jiayu Li: On the symplectic mean curvature flows

2.15-3.00 Shibing Chen: The optimal partial transport problem

3.00-3.20 Afternoon Tea:

3.20-4.05 Mat Langford: Ancient solutions to extrinsic geometric flows

4.05-4.50 Kwok Kun Kwong: Weighted geometric inequalities and the Weinstock inequality for the first Steklov eigenvalue

Thursday

8.40-9.25 Weiping Zhang: Deformations of Dirac operators

9.25-10.10 Jixiang Fu: On higher direct images of pluricanonical bundles

10.10-10.30 Morning Tea

10.30-11.15 Congming Li: Some recent work on qualitative analysis of nonlinear PDEs of elliptic type

11.15-12.00 Wenjiao Yan: Results related with complex structures on 𝑆"

12.00-1.30 Lunch: served at The Pavilion Kiama

1.30-2.15 Xinan Ma: Jerison-Lee identity and semi-linear subelliptic equation on C-R manifold

2.15-3.00 Dongsheng Li: Global solutions of obstacle problems for fully nonlinear elliptic operators

3.00-3.20 Afternoon Tea:

3.20-4.05 Glen Wheeler: Convergence of solutions to a convective Cahn-Hilliard type equation of the sixth order

. in case of small deposition rates

4.05-4.50 Bin Zhou: On singular Abreu equations

Friday

Excursion