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Tristan Collins, Special Colloquium

December 12, 2017 @ 4:00 pm - 5:00 pm

Title:  The J-equation and stability.

Abstract:  Donaldson and Chen introduced the J-functional in ’99, and explained its importance in the existence problem for constant scalar curvature metrics on compact Kahler manifolds. An important open problem is to find algebro-geometric conditions under which the J-functional has a critical point.  The critical points of the J-functional are described by a fully-nonlinear PDE called the J-equation.  I will discuss some recent progress on this problem, and indicate the role of algebraic geometry in proving estimates for the J-equation.


December 12, 2017
4:00 pm - 5:00 pm
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