Informal Complex Geometry and PDE Seminar

Academic Year 2021-2022

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 27 (Zoom only)
Organizational meeting

February 3
Sisi Shen - A Chern-Calabi flow on Hermitian manifolds (Reference)

February 10
Teng Fei - Stability of the Type IIA flow and its applications in symplectic geometry (Reference)

February 17
Gabor Szekelyhidi - Regularity for singular Kahler-Einstein metrics (Abstract)

February 24
Freid Tong - Quasiprojective manifolds with negative holomorphic sectional curvature (Reference)

March 3
Tat Dat To - Degenerate J-flow on compact Kahler manifolds (Abstract)

March 10
Bo Guan - Fully nonlinear PDEs on Hermitian manifolds for symmetric functions of partial Laplacians and related geometric problems (Abstract)

March 17
Spring break

March 24
Bin Guo - Holomorphic Morse inequalities (Reference)

March 31
Jian Song - Entropy and heat kernel bounds on a Ricci flow background (Reference)

April 7
Anna Fino - Balanced metrics and the Hull-Strominger system (Abstract)

April 14
Teng Fei - Canonical metrics on holomorphic Courant algebroids (Reference)

April 21
Mario Garcia-Fernandez - Obstructions to the existence of solutions to the Hull-Strominger system

April 28
Vincent Guedj - Plurisigned hermitian metrics (Abstract)

Fall Schedule

September 9
Organizational meeting

September 16
Teng Fei - Geometric flows for the type IIA string (Reference)

September 23
Jason Lotay - Some remarks on contact Calabi-Yau 7-manifolds (Abstract)

September 30
Sebastien Picard - Geometry of Calabi-Yau conifold transitions (Abstract)

October 7
Laszlo Lempert - On the adjoint action of the group of symplectic diffeomorphisms (Reference)

October 14 (10:30am-11:40am)
Hoang-Chinh Lu - Complex Monge-Ampere equations on compact complex manifolds (Abstract)

October 21
Kevin Smith - On the Hessian cscK equations (Reference)

October 28
Bin Guo - On L^infinity estimates for complex Monge-Ampere equations (Reference)

November 4
Teng Fei - Gauge theory for string algebroids (Reference)

November 11
Xu-Jia Wang - Regularity of free boundary for the Monge-Ampere obstacle problem (Abstract)

November 18
Hans-Joachim Hein - Smooth asymptotics for collapsing Calabi-Yau metrics (Reference)

November 25
Thanksgiving

December 2
Nikita Klemyatin - Comparison geometry of holomorphic bisectional curvature for Kahler manifolds and limit spaces (References I, II)

December 9
Freid Tong - Degenerating Kahler-Einstein cones, locally symmetric cusps, and the Tian-Yau metric (Reference)

December 16
Jacob Sturm - Anticanonically balanced metrics and the Hilbert-Mumford criterion for the delta_m-invariant of Fujita-Odaka (Reference)

December 23
Xin Fu - Kahler-Einstein metric near an isolated log canonical singularity (Reference)

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