Extremal metrics : evolution equations and stability
February 7, 2011 — February 11, 2011
This conference will take place during the second week of the special month "Complex and Riemannian Geometry" in Marseille, at the CIRM (Centre International de Rencontres Mathématiques, Marseille, France).
The conference will present the new developments in the study of canonical/special metrics that can be considered as uniformisers of complex geometry (like constant scalar curvature Kahler metrics, extremal Kahler metrics, Kahler-Einstein metrics, Kahler-Ricci solitons, Sasaki-Einstein metrics, Bergman metrics, balanced metrics ...). It will also reflect the diversity of analytic methods to construct such metrics (flows, continuity methods, gluing techniques, ...) and the diversity of varieties where they live (compact and non compact Kahler manifolds, Sasaki manifods, toric manifolds, spherical manifolds, orbifolds,...). Finally, a part of the conference will be concerned with the relationship between the existence of canonical metrics and algebraic conditions coming from Geometric Invariant Theory.
The main objective is to attract the talents of different branches of anaytic geometry, differential geometry, algebraic geometry, complex analysis to bring their knowledge and to interact with the whole community. A particular effort will be done to welcome young mathematicians.
Two long courses will be given during the week:
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Prof. Michael Singer (University of Edinburgh)
Title: "Introduction to Extremal Kaehler metrics" -
Prof. Jacob Sturm (Rutgers University)
Title: "Constant scalar curvature metrics on Kahler manifolds and GIT stability"
The conference starts on Monday morning the 7th of February and ends on Friday the 11th of February.