PIRSA:09050038 Conference

DOI10.48660/09050038

Conference/School: Connections in Geometry and Physics - 2009

Weinkove, B. (2009). The Kahler-Ricci flow on Hirzebruch surfaces. Perimeter Institute. https://pirsa.org/09050038

Weinkove, Ben. The Kahler-Ricci flow on Hirzebruch surfaces. Perimeter Institute, May. 09, 2009, https://pirsa.org/09050038 

@misc{ pirsa_PIRSA:09050038,
  doi = {10.48660/09050038},
  url = {https://pirsa.org/09050038},
  author = {Weinkove, Ben},
  keywords = {},
  language = {en},
  title = {The Kahler-Ricci flow on Hirzebruch surfaces},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {may},
  note = {PIRSA:09050038 see, \url{https://pirsa.org}}
}

Abstract

I will discuss the metric behavior of the Kahler-Ricci flow on Hirzebruch surfaces assuming that the initial metric is invariant under a maximal compact subgroup of the automorphism group. I will describe how, in the sense of Gromov-Hausdorff, the flow either shrinks to a point, collapses to P^1 or contracts an exceptional divisor. This confirms a conjecture of Feldman-Ilmanen-Knopf. This is a joint work with Jian Song.

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