Informal Complex Geometry and PDE Seminar

Academic Year 2022-2023

Organizers: D.H. Phong, K.J. Smith, X.S. Shen


The seminar meets on Thursdays from 2:40pm to 3:50pm in 520 Mathematics. If you would like to join via Zoom, please email kjs or xss at math.columbia.edu.

Spring Schedule

January 19
Organizational meeting

January 26
Xin Fu - Uniqueness of tangent cone of Kähler Einstein metrics on singular varieties with crepant singularity (Abstract)

February 2
Sébastien Picard - G2 flows and parabolic complex Monge-Ampère equations (Abstract)

February 9
Tamás Darvas - Kähler-Einstein metrics and delta invariants (Abstract)

February 16
Giuseppe Barbaro - Global stability of the Pluriclosed flow on Bismut flat manifolds (Abstract)

February 23
Chao-Ming Lin - On the convexity of general inverse sigma_k equations and some applications (Abstract)

March 2
Pengfei Guan - On a class of in-homogeneous Gauss curvature flow (Abstract)

March 9
Simon Brendle - Scalar curvature rigidity of convex polytopes (Abstract)

March 16
Spring break

March 23
Gábor Székelyhidi - Neck pinches along the Lagrangian mean curvature flow of surfaces (Abstract)

March 30
Shuang Liang - On L^infty estimates for (n-1)-form fully nonlinear partial differential equations on compact Hermitian manifolds (Abstract)

April 6
Mehdi Lejmi - Special metrics in almost-Hermitian geometry (Abstract)

April 13
No seminar

April 20
(11:00am, room 622) Valentino Tosatti - The Kähler cone of Calabi-Yau manifolds (Abstract)
(02:40pm, room 520) Mihai Păun - Hermitian-Einstein metrics on sheaves (Abstract)

April 27
C. S. Shahbazi - The Heterotic-Ricci Flow and its three-dimensional solitons (Abstract)



Fall Schedule

September 15
Organizational meeting

September 22
Tristan Collins - Uniqueness of some cylindrical tangent cones to special Lagrangians (Abstract)

September 29
Yang Li - Complete Calabi-Yau metrics in the complement of two divisors (Reference)

October 6
Claude LeBrun - Curvature in the balance: The Weyl functional and scalar curvature of 4-manifolds (Abstract)

October 13
Shih-Kai Chiu - Nonuniqueness of Calabi-Yau metrics with maximal volume growth (Abstract)

October 20
Kevin Smith - The continuity equation on Hopf and Inoue surfaces (Reference)

October 27
No seminar

November 3
Xiaowei Wang - Moment map and convex function (Abstract, Reference)

November 10
Marcin Sroka - Complex methods for non-complex equations (Abstract)

November 17
Bin Guo - Regularization of m-subharmonic functions and Hölder continuity (Reference)

November 24
Thanksgiving

December 1
Ronan Conlon - Shrinking Kähler-Ricci solitons (Abstract)

December 8
Mathew George - Strongly positive forms with prescribed volume in Aeppli cohomology classes on Hermitian manifolds (Abstract)

December 15
Daniele Angella - A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds (Abstract, Reference)

Old links: Schedule for 2021-2022, Schedule for 2020-2021, Schedule for 2019-2020, Schedule for 2018-2019