RTG Student Geometry Seminar

from Friday
June 01, 2018 to Monday
December 31, 2018
 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar SCGP Seminars Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Differential Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars

 WednesdaySeptember 05, 201812:00 PM - 1:00 PM Math Tower 5-127 Nathan Chen, Stony Brook University An introduction to the analytic minimal model programWe will give an introduction to Kähler-Ricci 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.

 WednesdaySeptember 12, 201812:00 PM - 1:00 PM Math Tower 5-127 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.

 WednesdaySeptember 19, 201812:00 PM - 1:00 PM Math Tower 5-127 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.

 WednesdaySeptember 26, 201812:00 PM - 1:00 PM Math Tower 5-127 Lisandra Hernandez Vazquez, Stony Brook University Maximal Existence Time for Kähler-Ricci FlowWe will prove the result on maximal existence time for the Kähler-Ricci flow that was stated last time. The proof goes by showing that solutions to the flow are equivalent to solutions of a certain complex Monge-Ampère 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.

 WednesdayOctober 03, 201812:00 PM - 1:00 PM Math Tower 5-127 Jae Ho Cho, Stony Brook University Regularity estimates and the convergence theorem of the Kähler-Ricci flow when c1(M)<0We will continue to consider the complex Monge-Ampère equation associated to the Kähler-Ricci 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 Kähler-Ricci flow starting at any Kähler metric converges to a Kähler-Einstein metric, which suggests the alternative proof of Calabi conjecture when c1(M)<0.

 WednesdayOctober 10, 201812:00 PM - 1:00 PM Math Tower 5-127 Jean-François Arbour, Stony Brook University Convergence of the Kähler-Ricci flow when c1(M) = 0

 WednesdayOctober 17, 201812:00 PM - 1:00 PM Math Tower 5-127 Alexandra Viktorova, Stony Brook University Kähler Ricci Flow on Complex SurfacesIn this talk, we will review some definitions and then discuss the Kähler-Ricci 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.

 WednesdayOctober 24, 201812:00 PM - 1:00 PM Math Tower 5-127 Yoon-Joo Kim, Stony Brook University Kähler Ricci Flow on Hirzebruch SurfacesWe will talk about Song and Weinkove's result on Kahler-Ricci 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.

 WednesdayOctober 31, 201812:00 PM - 1:00 PM Math Tower 5-127 Marlon De Oliveira Gomes, Stony Brook University Kahler-Ricci flow on elliptic surfacesI will describe the behavior of the normalized Kahler-Ricci flow on a product elliptic surface. Time permitting, I will contrast this elementary case with that of a minimal elliptic surface with singular fibers.

 WednesdayNovember 07, 201812:00 PM - 1:00 PM Math Tower 5-127 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 Kähler-Ricci flow in higher dimensions.

 WednesdayNovember 14, 201812:00 PM - 1:00 PM Math Tower 5-127 Matt Lam, Stony Brook University The Kähler-Ricci flow on Kähler surfacesTBA

 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Geometry Seminar SCGP Seminars Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Differential Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars