Mathematics, Statistics and Data Science Postgraduate Society (MaPS) Seminar Series: Alexander Bednarek -- Global Ricci Curvature Behavior for the Kahler Ricci Flow

Dear All, 

Welcome to Semester 2 of the MaPS seminar series!! 

The next MaPS talk will be this week - Thursday, 1 August, at 5-6 pm in Carslaw AGR, as
well as online via Zoom.  This time, we have Alex, who will give us an overview of Ricci
Curvature Behavior for the Kahler Ricci Flow.  

Please join us afterward, in the level 7 tea room, for some light dinner and social
time! 

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Speaker: Alexander Bednarek 

Title: Global Ricci Curvature Behavior for the Kahler Ricci Flow with Finite Time
Singularities 

Abstract: We consider the Ricci flow in the setting of Kahler manifolds.  The Ricci flow
is a tool for deforming smooth manifolds with respect to their Ricci curvature in hopes
of extracting a nice metric, whereas Kahler manifolds are smooth manifolds equipped with
compatible Riemannian, complex, and symplectic structures.  These properties enable the
study of the Kahler-Ricci flow to be reduced to that of a complex Monge-Ampere type
PDE.  In the case that the existence time is necessarily finite, we show that under the
existence of a map into complex projective space and a cohomology condition, we can find
an L^4-like estimate on the Ricci curvature, which enables us to better understand the
flow as it approaches its time of singularity.  

Location: Carslaw AGR 829 and Zoom (https://uni-sydney.zoom.us/j/5445386416) 

Date: 1 Aug 2024 (Thursday), 5-6 PM 

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Thank you, and have a nice day! 

Kind regards, 
Manoj (on behalf of MaPS)