Informal Complex Geometry and PDE Seminar

Academic Year 2018-2019

Organizers: D.H. Phong, F. Tong

The seminar meets on Thursdays from 2:40pm to 3:50pm in 520 Mathematics.

Spring Schedule

January 24
Duong Phong - Introduction

January 31
Freid Tong - Estimates for complex Hessian equations - Reference I II

February 7
Freid Tong - Tian's properness conjectures and Finsler geometry of the space of Kahler metrics - Reference

February 14
Keaton Naff - Conjectures on Lagrangian mean curvature flow and stability - Reference

February 21
Duong Phong - Hitchin's self-dual equations, and generalizations to Kasputin-Witten and Vafa-Witten equations - Reference I II III

February 28
Mitchell Faulk - The greatest Ricci lower bound on a Fano - Reference

March 7
Hans-Joachim Hein - Kahler scalar-flat metrics on ALE spaces - Reference

March 14
Bianca Santoro - Space of Poincare-type Kahler metrics on the complement of a divisor - Reference

March 21
Spring Break

March 28
Teng Fei - Higher Chern forms and stability - Reference

April 4
Jacob Sturm - Complex Monge-Ampere equation with prescribed singularities - Reference

April 11
Jacob Sturm - Regularity of weak minimizers of the K-energy and applications to properness and K-stability - Reference

April 18
Bin Guo - Convexity of the Mabuchi functional and uniqueness of cscK metrics - Reference

April 25
Jian Song - GH limits of Kahler manifolds under Ricci lower bounds - Reference

May 2

Fall Schedule

September 6
Freid Tong - Weighted Sobolev inequalities and Ricci lower bound - Reference

September 13
Mitchell Faulk - Asymptotically conical Calabi-Yau manifolds - Reference I II III

September 20
Xiangwen Zhang - A flow of conformally balanced metrics - Reference

September 27
Bin Guo - Geometric estimates for complex Monge Ampere - Reference

October 4
Jacob Sturm - Degeneration of Kahler-Einstein manifolds with negative scalar curvature - Reference

October 11
Teng Fei - Collapsing hyperkahler manifolds - Reference

October 18
Keaton Naff - Spacelike mean curvature flow - Reference

October 25
Maciej Zworski - Internal waves for (linearized) fluids and 0th order pseudodifferential operators - Abstract

November 1
Jian Song - Singular limits of Kahler-Ricci flow - Reference

November 8
Xin Fu - Pluricomplex Green’s function and Fano manifolds - Reference

November 14 (Wednesday): Special talk in room 622
2:30-3:30pm: Friedrich Haslinger - Spectral properties of the complex laplacian on weighted L2 spaces - Abstract

November 15: (Please note room change, we are in room 507 this week)
2:30-3:30pm: Freid Tong - Constant scalar curvature Kahler metrics - Reference I II III
3:30-4:30pm: Tristan Collins - Stability and nonlinear PDE in mirror symmetry

November 22

November 29
Hans-Joachim Hein - Higher order estimates for collapsing Calabi-Yau - Reference

December 6
Teng Fei - On convergence criteria for the coupled flow of Li-Yuan-Zhang - Reference

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