Department of Mathematics - UC Santa Barbara

Geometry, Topology, and Physics Seminar, Spring 2009

Organizers: Andreas Malmendier and Dave Morrison.
Meets 4:00 - 5:30 p.m. Fridays in South Hall 6635.

This quarter, due to the KITP workshop Fundamental Aspects of Superstring Theory, this seminar will only meet occasionally. Watch this space (or the email announcements) for information about upcoming seminars.

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Apr. 10

The seminar will meet at 3:00pm in SH 6617.

Ben Weinkove (UC San Diego)

The Kähler-Ricci flow on Hirzebruch surfaces.

This talk will be a part of the Differential Geometry Seminar.

Abstract: I will discuss the metric behavior of the Kähler-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.

Audio [ mp3, wma ]; Lecture notes.