Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Smoothing properties and uniqueness of the weak Kaehler-Ricci flow

Smoothing properties and uniqueness of the weak Kaehler-Ricci flow

Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016

May 06, 2016 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Eleonora Di Nezza (Imperial College, London)
Location: MSRI:
Tags/Keywords
  • complex geometry

  • Riemannian geometry

  • geometric analysis

  • geometric flow

  • Ricci flow

  • Kahler-Ricci flow

  • geometric measure theory

  • currents

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14510

Abstract

Let X be a compact Kaehler manifold. I will show that the Kaehler-Ricci flow can be run from a degenerate initial data, (more precisely, from an arbitrary positive closed current) and that it is immediately smooth in a Zariski open subset of X. Moreover, if the initial data has positive Lelong number we indeed have propagation of singularities for short time. Finally, I will prove a uniqueness result in the case of zero Lelong numbers.

 

(This is a joint work with Chinh Lu)

Supplements
25964?type=thumb Di Nezza.Notes 570 KB application/pdf Download
Video/Audio Files

14510

H.264 Video 14510.mp4 280 MB video/mp4 rtsp://videos.msri.org/data/000/025/820/original/14510.mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath Videos page.