Friday, April 1, 2022
Time | Items |
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All day |
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9am |
04/01/2022 - 9:00am We discuss topics of common interest in the areas of geometry, probability, and combinatorics. Location: |
12pm |
04/01/2022 - 12:00pm I will review some results on the stability of some geometric inequalities. The notion of stability considers the following question: Suppose that a function almost attains equality in some inequality for which minimizers are known. Can we prove that such a function is close to one of the minimizers? Over the past decade, the method of mass transportation made significant progress on this issue. In this talk, I will focus on the Brunn-Minkowski inequality and the isoperimetric inequality and give a quick overview of the proof strategy. Location: |
2pm |
04/01/2022 - 2:00pm Abstract: In this talk, we will discuss some additional structure in the Kähler setting for Bamler’s limit spaces of noncollapsed Ricci flows. We will review various notions of singular set stratification, and then state an improved dimension estimate for odd-dimensional strata of limits of Kähler-Ricci flows. We also show that tangent flows of Kähler metric flows admit natural isometric actions, which are locally free away from the vertex in the case that the tangent flows are static. Location: |