Analysis Seminar

Title: Positivity in convergence of the inverse sigma_k flow
Speaker: Jian Xiao
Speaker Info:
Brief Description:
Special Note:

By relating the existence of special Kahler metrics with algebro-geometric stability conditions, such as the Yau-Tian-Donaldson conjecture on the existence of constant scalar curvature K ahler metric, Lejmi and Szekelyhidi proposed a conjectural numerical criterion for solvability of the inverse sigma_ k equation, or equivalently, for convergence of the inverse sigma_k flow. We study positivity in their conjecture. In particular, for k=n-1 we show how to partially verify their conjecture by obtaining the desired positivity for (n-1, n-1) cohomology classes. As an application, we also partially verify their conjecture for 3-folds.
Date: Monday, November 7, 2016
Time: 4:10pm
Where: Lunt 105
Contact Person: Ben Weinkove
Contact email: weinkove@math.northwestern.edu
Contact Phone: 847-491-5580
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