Informal Complex Geometry and PDE Seminar

Academic Year 2020-2021

Organizers: D.H. Phong, F. Tong


The seminar meets on Thursdays from 2:40pm to 3:50pm on ZOOM. If you would like the ZOOM ID to join the meetings, please email: tong@math.columbia.edu

Spring Schedule

January 21
Duong Phong - Organizational meeting

January 28
Freid Tong - On Moser-Trudinger inequalities and applications for Complex Monge-Ampere equation- Reference I II

February 4
Freid Tong - On Moser-Trudinger inequalities and applications for Complex Monge-Ampere equation- Reference I II

February 11
Cancelled

February 18
Chi Li - On the Ohsawa-Takegoshi extension theorem

February 25
Bin Guo - A new Evans-Krylov type estimate for Monge-Ampere equations - Reference

March 4
Spring Break

March 11
Teng Fei - Symplectic deformations of Kahler manifolds - Reference

March 18
Nikita Klemyatin - On the stability of Riemannian manifolds with parallel spinors - Reference

March 25
Xiangwen Zhang - Weak Harnack inequalities for eigenvalues and constant rank theorems- Reference

April 1
Kevin Smith- Asymptotics of the J-functional - Reference

April 8
Jian Song - Some remarks on Chen-Cheng's ABP estimates - Reference

April 15
Vincent Guedj - Finite entropy vs finite energy - Abstract

April 22
Marcin Sroka - The Monge-Ampere type equation related to quaternions - Abstract

April 29
Bo Guan - Second order estimates for fully nonlinear elliptic equations with gradient terms on complex manifolds - Abstract



Fall Schedule

September 17
Duong Phong - Organization

September 24
Teng Fei - Stability of anomaly flow - Reference

October 1
Jian Song - Numerical criterion for solving the J-equation

October 8
Jian Song - Numerical criterion for solving the J-equation

October 15
Nikita Klemyatin - Volume rigidity of projective space - Reference

October 22
Freid Tong - Positivity conditions on Hermitian manifolds - Reference

October 29
Man-Chun Lee - Kahler-Ricci flow with unbounded curvature and applications - Abstract

November 5
Sisi Shen - Estimates for metrics of constant Chern scalar curvature - Abstract

November 12
Bin Guo - Classification of expanding Kahler-Ricci solitons - Reference

November 19
Yue Fan - Construction of the moduli space of Higgs bundles using analytic methods - Abstract

November 26:
Thanksgiving

December 3
Kevin Smith - A second order estimate for complex Hessian equations - Reference

December 10
Jacob Sturm - Uniform estimates for Kahler-Einstein metrics and applications - Reference 1 2 3

Old links: Schedule for 2019-2020,Schedule for 2018-2019, Schedule for 2017-2018, Schedule for 2016-2017, Schedule for 2015-2016