You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar<\/p>\n
Speaker: Craig van Coevering (Bo\u011fazi\u00e7i)
\n“Extremal K\u00e4hler metrics and the moment map”<\/p>\n
Abstract: An extremal K\u00e4hler metric is a canonical K\u00e4hler metric, introduced by E. Calabi, which is somewhat more general than a constant scalar curvature K\u00e4hler metric. The existence of such a metric is an ongoing research subject and expected to be equivalent to some form of geometric stability of the underlying polarized complex manifold (M,J,[\u03c9]) \u2013the Yau-Tian-Donaldson conjecture. Thus it is no surprise that there is a moment map, the scalar curvature (A. Fujiki, S. Donaldson), and the problem can be described as an infinite dimensional version of the familiar finite dimensional G.I.T.<\/p>\n
I will describe how the moment map can be used to describe the local space of extremal metrics on a symplectic manifold. Essentially, the local picture can be reduced to finite dimensional G.I.T. In particular, we can construct a course moduli space of extremal K\u00e4hler metrics with a fixed polarization [\u03c9]\u2208H2(M,R), which is an Hausdorff complex analytic space<\/p>\n
Date: Friday, 14 April 2023
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar Speaker: Craig van Coevering (Bo\u011fazi\u00e7i) “Extremal K\u00e4hler metrics and the moment map” Abstract: An extremal K\u00e4hler metric is a canonical K\u00e4hler metric, introduced by E. Calabi, which is somewhat more general than a constant scalar curvature K\u00e4hler metric. The existence [\u2026] <\/p>\n