Informal Complex Geometry and PDE Seminar

Academic Year 2023-2024

Organizers: D.H. Phong, X.S. Shen, C. Wang, S. Liang, N. Klemyatin


The seminar meets on Thursdays from 2:40pm to 3:50pm in 407 Mathematics. If you would like to join via Zoom, please email wangchuwen at math.columbia.edu.

Spring Schedule

January 18

Organizational meeting

January 25

Luis Fernandez  -Kaehler identities for almost complex manifolds (Abstract)

February 1

Maximilien Hallgren  -Tangent cones of Kahler-Ricci flow singularity models (Abstract)

February 8

Slawomir Dinew  -Weak solutions of complex Hessian equations

February 15

No seminar (Ritt Lecture)

February 22

Kewei Zhang  -Analytic thresholds, canonical metrics and Okounkov bodies (Abstract)

February 29

Mathew George  -Fully nonlinear equations of real forms on Hermitian manifolds (Abstract)

March 7

No seminar

March 14

Spring break

March 21

Hans-Joachim Hein  -A gluing construction for complex surfaces with hyperbolic cusps (Abstract)

March 28

Jacob Sturm  -The Ricci iteration towards cscK metrics (Reference)

April 4

Jian Song  -Finite time singularities of the Kahler-Ricci flow (Abstract)

April 11

Michael Albanese  -Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics (Abstract)

April 18

Ngaiming Mok  -From holomorphic isometries to functional transcendence on quotients of bounded symmetric domains by arbitrary cocompact lattices (Abstract)

April 25

Alberto Raffero

May 2

Shih-Kai Chiu

May 9

Qi Yao

Fall Schedule

September 7

Organizational meeting

September 14

Shuang Liang  -Local Calabi estimate for continuity equation on Hermitian manifolds and its application (Abstract)

September 21

Junsheng Zhang  -On complete Calabi-Yau manifolds asymptotic to cones (Abstract)

September 28

Izar Alonso Lorenzo  -New examples of SU(2)^2-invariant G_2-instantons (Abstract)

October 5

Tristan Collins  -A local regularity theorem for mean curvature flow of totally real submanifolds (Abstract)

October 12

Morning: Siarhei Finski

- Asymptotics Problems in Complex Geometry (I): Polarized metrics and semiclassical extension theorems (Abstract)
Afternoon: Gueo Grantcharov  -Harmonic analysis on compact Riemannian symmetric spaces and Borel-Weil theorem (Abstract)

October 19

Siarhei Finski

Morning: Asymptotics Problems in Complex Geometry (II): Mabuchi geometry of the space of Kähler metrics and geodesic rays (Abstract)
Afternoon: Asymptotics Problems in Complex Geometry (III): Submultiplicative filtrations on section rings and Mabuchi geometry at infinity (Abstract)

October 26

Morning: Stephanie Nivoche  -Solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces (Abstract)

Afternoon: Laurent Stolovitch  -CR singularities and dynamical systems (Abstract)

November 2

Morning: Tat Dat Tô  -Tsuji's iteration on complete Kähler manifolds (Abstract)

Afternoon: Luigi Vezzoni  -Geometric flows of closed forms (Abstract)

November 9

Jingbo Wan  -Rigidity of contracting map using harmonic map flow (Abstract)

November 16

Marcin Sroka  -On the real Hessian quotient equations (Abstract)

November 23

Thanksgiving

November 30

Bin Guo  -Uniform Skoda integrability and Calabi-Yau degeneration (Reference)

December 7

Freid Tong  -On some new Monge-Ampere functionals and related geometric PDEs (Abstract)




Old links: Schedule for 2022-2023, Schedule for 2021-2022