PIRSA:09050038

The Kahler-Ricci flow on Hirzebruch surfaces

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}}
          }

Ben Weinkove

Talk numberPIRSA:09050038
DOI10.48660/09050038
Collection
Talk Type Conference

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.