Baltimore-Washington
Metro Area Differential Geometry Seminar


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Speakers

The following speakers are confirmed:

  • Luis Caffarelli (UT Austin)
  • Title: Some connections between Minimal surfaces and Free Boundary problems (UMD Colloquium)
    Abstract:

    will describe connections between the minimal surface theory, as develop from the point of view of sets with minimal perimeter and different approaches to free boundary regularity. I will also describe some problems in phase transition that combine both.

  • Otis Chodosh (Stanford University)
  • Title: Relating the index and topology of a minimal surface in R^3
    Abstract:

    The Morse index for the area functional at a minimal surface is a fundamental invariant of the surface. I will discuss some connections between the Morse index and the topology of the underlying surface which, as a consequence, show that there are no embedded minimal surfaces of index 2. This is based on joint work with Davi Maximo.

  • Jim Isenberg (University of Oregon)
  • Title: Asymptotic Behavior of Non Round Neckpinches in Ricci Flow
    Abstract:

    Neckpinch singularities are a prevalent feature of Ricci flow, and recent work has given us a good picture of their asymptotic behavior, so long as the geometries are rotationally symmetric. We discuss this asymptotic behavior, both for degenerate and non-degenerate neckpinches. It has been conjectured that neckpinch singularities which develop in non-rotationally symmetric Ricci flows do asymptotically approach roundness, and consequently have very similar asymptotic behavior to those which are rotationally symmetric. We discuss very recent work which supports this conjecture.

  • Valentino Tosatti (Northwestern University)
  • Title: Title: Long-time behavior of the Kahler-Ricci flow
    Abstract:

    Abstract: I will discuss the problem of understanding the long-time behavior of the Kahler-Ricci flow on a compact Kahler manifold, assuming that a solution exists for all positive time. Inspired by results from the minimal model program in algebraic geometry, Song and Tian posed several conjectures which describe this behavior. I will report on recent work (joint with B.Weinkove, X.Yang and Y.Zhang) which confirms some of these conjectures.



    Updated Fall 2014 -- Department of Mathematics, Johns Hopkins University. Please contact Jacob Bernstein about errors on this site.