Graduate Student Kahler-Ricci Flow Seminar

Graduate Student Kahler-Ricci Flow Seminar

Spring 2011

Organizer: Tristan Collins


This seminar is focused on covering the major developments and ideas in the Kahler-Ricci flow, with a particular emphasis on the connections between the various algebraic notions of stability and the key estimates in establishing convergence of the flow. For the spring of 2011 we will be focusing primarily on the Kahler-Ricci flow on surfaces, and the beginnings on the Ricci flow approach to the Minimal Model Program.

Schedule

  • March 23, 2011
    Tristan Collins - Introduction to KRF and Perelman's functionals - Reference - Notes

  • March 30, 2011
    Tristan Collins - Bounding scalar curvature and diameter along the KRF- Reference - Notes

  • April 6,2011
    Tristan Collins - Stability and convergence of the KRF - Reference - Notes

  • April 13, 2011
    Tristan Collins - The KRF and the d-bar operator on vector fields-Reference - Notes

  • April 20 and 27, 2011
    Thomas Nyberg - Existence of Kahler-Ricci solitons on Toric fano manifolds - Reference- Notes

  • May 4, 2011
    Adam Jacob - KRF on stable Fano manifolds - Reference

  • May 17, 2011
    Tristan Collins - KRF on Fano manifolds with vanished Futaki invariant - Reference - Notes

  • May 24, 2011
    Tristan Collins - Existence and degeneration of Kahler-Einstein metrics on minimal algebraic varieties of general type - Reference - Notes

  • May 31, 2011
    Thomas Nyberg - KRF on Hirzebruch surfaces - Reference - Notes

  • June 7, 2011
    Adam Jacob - The Moser-Trudinger inequality on Kahler-Einstein manifolds - Reference - Notes

  • June 14, 2011
    Adam Jacob - Uniqueness of Kahler-Einstein metrics modulo connected group actions- Bando and Mabuchi - Notes

  • May 21, 2011
    Donovan McFeron - Remarks on KRF - Reference

  • June 28 and July 5, 2011
    Tristan Collins - The Kahler-Ricci flow on surfaces of positive Kodaira dimension - Reference - Notes

  • July 12, 2011
    Adam Jacob - KRF on Fano surfaces - Reference