Wednesday September 05, 2018 12:00 PM  1:00 PM Math Tower 5127
 Nathan Chen, Stony Brook University
An introduction to the analytic minimal model programWe will give an introduction to KählerRicci Flow (KRF) and the minimal model program (MMP). The goal of this talk is to highlight the relationship between KRF and the MMP, and explain what happens in complex dimensions 1 and 2.

Wednesday September 12, 2018 12:00 PM  1:00 PM Math Tower 5127
 Ben Wu, Stony Brook University
A Review of Kähler GeometryIn this talk, we will review the basic definitions in Kähler geometry and will provide some examples of Kähler manifolds. We will then review the notion of curvature and will discuss the Ricci curvature of a compact Kähler manifold. We will try to make this talk accessible to those who are not already familiar with these concepts.

Wednesday September 19, 2018 12:00 PM  1:00 PM Math Tower 5127
 Tobias Shin, Stony Brook University
Kähler Ricci FlowWe will go through the definitions of the Kähler flow and provide some examples in low dimensions. We will also explain how the Kähler cone fits in and realize the first Chern class in terms of the Ricci curvature.

Wednesday September 26, 2018 12:00 PM  1:00 PM Math Tower 5127
 Lisandra Hernandez Vazquez, Stony Brook University
Maximal Existence Time for KählerRicci FlowWe will prove the result on maximal existence time for the KählerRicci flow that was stated last time. The proof goes by showing that solutions to the flow are equivalent to solutions of a certain complex MongeAmpère equation which, in this context, satisfy certain bounds that are uniform in time. We will finish by discussing concrete examples of the possible behaviors of the flow.

Wednesday October 03, 2018 12:00 PM  1:00 PM Math Tower 5127
 Jae Ho Cho, Stony Brook University
Regularity estimates and the convergence theorem of the KählerRicci flow when c1(M)<0We will continue to consider the complex MongeAmpère equation associated to the KählerRicci flow. Especially, we will discuss about the regularity estimates based on the maximum principle. Time permitting, we will prove that when c1(M)<0, the normalized KählerRicci flow starting at any Kähler metric converges to a KählerEinstein metric, which suggests the alternative proof of Calabi conjecture when c1(M)<0.

Wednesday October 10, 2018 12:00 PM  1:00 PM Math Tower 5127
 JeanFrançois Arbour, Stony Brook University
Convergence of the KählerRicci flow when c1(M) = 0

Wednesday October 17, 2018 12:00 PM  1:00 PM Math Tower 5127
 Alexandra Viktorova, Stony Brook University
Kähler Ricci Flow on Complex SurfacesIn this talk, we will review some definitions and then discuss the KählerRicci flow on surfaces of complex dimension two and Kodaira dimension minus infinity. We will consider the cases of $\mathbb{P}^{1} \times \mathbb{P}^{1}$ and the blow up of $\mathbb{P}^{2}$ at a point.

Wednesday October 24, 2018 12:00 PM  1:00 PM Math Tower 5127
 YoonJoo Kim, Stony Brook University
Kähler Ricci Flow on Hirzebruch SurfacesWe will talk about Song and Weinkove's result on KahlerRicci flow (KRF) on Hirzebruch surfaces. Note that Hirzebruch surfaces have Kodaira dimension infinity, so the first Chern class tends to be positive. Under an additional symmetry condition, they proved KRF converges within finite time and behaves exactly what we have expected, as predicted in Minimal Model Program.

Wednesday October 31, 2018 12:00 PM  1:00 PM Math Tower 5127
 Marlon De Oliveira Gomes, Stony Brook University
KahlerRicci flow on elliptic surfacesI will describe the behavior of the normalized KahlerRicci flow on a product elliptic surface. Time permitting, I will contrast this elementary case with that of a minimal elliptic surface with singular fibers.

Wednesday November 07, 2018 12:00 PM  1:00 PM Math Tower 5127
 Nathan Chen, Stony Brook University
An outline of the MMP in relation to KRFIn this talk, we will go through the main steps of the minimal model program and discuss some of the difficulties in higher dimensions, in particular flips. Time permitting, we will present the conjecture of Song and Weinkove for KählerRicci flow in higher dimensions.

Wednesday November 14, 2018 12:00 PM  1:00 PM Math Tower 5127
 Matt Lam, Stony Brook University
The KählerRicci flow on Kähler surfacesTBA

