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