Description: The aim of this seminar is to attract graduate students to Geometric Analysis, through learning and research talks. All talks should be accessible to beginning graduate students who might have background either in PDE or in geometry, but not necessarily in both.
Organizers: Yanir Rubinstein and Tamas Darvas
When: Thursday @ 4:30 pm
Where:  Math 2300
Additional Information

Archives: 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018

  • Permanental point processes on tori and real Monge-Ampere equations

    Speaker: Jakob Hultgren (Chalmers University) -

    When: Tue, September 5, 2017 - 4:00pm
    Where: MATH2300
  • The Gartner-Ellis theorem

    Speaker: Y.A. Rubinstein (UMD) -

    When: Tue, September 12, 2017 - 4:00pm
    Where: 2300.0

    View Abstract

    Abstract: I will continue the proof of the G\"artner-Ellis theorem from my course (Math 742: Geometric Analysis)
  • Stability of ALE Ricci-flat manifolds under Ricci-flow

    Speaker: Klaus Kroencke (Hambrug) -

    When: Tue, September 26, 2017 - 4:00pm
    Where: MATH 2300

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    Abstract: We prove that if an ALE Ricci-flat manifold (M,g) is linearly stable and integrable, it is dynamically stable under Ricci flow, i.e. any Ricci flow starting close to g exists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close to g. By adapting Tian's approach in the closed case, we show that integrability holds for ALE Calabi-Yau manifolds which implies that they are dynamically stable. This is joint work with Alix Deruelle.
  • Complete translating solitons to the mean curvature flow in R^3  with nonnegative mean curvature

    Speaker: Joel Spruck (JHU) -

    When: Tue, October 3, 2017 - 4:00pm
    Where: MATH2300

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    Abstract: We prove that any complete immersed two sided mean convex translating 3D soliton Sigma for the mean curvature flow is convex. As a corollary it follows that any entire mean convex graphical translating soliton in R^3 is the axisymmetric ''bowl soliton''. We also show that if the mean curvature of Sigma tends to zero at infinity, then Sigma can be represented as an entire graph and so is the bowl soliton. Finally we classify all locally strictly convex graphical translating solitons defined over strip regions (the only other possibility).This is joint work with Ling Xiao.
  • Scattering theory and variants of the Yamabe problem

    Speaker: Yannick Sire (JHU) -

    When: Tue, October 10, 2017 - 4:00pm
    Where: MATH2300

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    Abstract: In a seminal paper, Graham and Zworksi developed a new theory for GJMS operators, which are conformally covariant operators of higher order. I will explain this theory, based on scattering theory on Poincare-Einstein manifolds and move on to extend some results on the Yamabe problem to several recent cases in the regular and singular case.
  • TBA

    Speaker: Yanir Rubinstein (UMD) -

    When: Tue, October 17, 2017 - 4:00pm
    Where: MATH2300
  • Existence and Boundedness of Isoperimetric Regions in Surfaces of Revolution with Density

    Speaker: Alejandro Diaz (UMD) -

    When: Tue, November 14, 2017 - 4:00pm
    Where: MATH2300

    View Abstract

    Abstract: The isoperimetric problem with a density or weight-
    ing seeks to enclose prescribed weighted volume with minimum
    weighted perimeter. According to Chambers’ recent proof of the
    log-convex density conjecture, for many densities on R^n the answer
    is a sphere about the origin. We seek to generalize his results to
    some other spaces of revolution or to two different densities for
    volume and perimeter. We provide general results on existence
    and boundedness and their proofs.

  • Lagrangian mean curvature flow of Milnor fibres (after Thomas-Yau)

    Speaker: Matthew Dellatorre (UMD) -

    When: Tue, February 6, 2018 - 4:00pm
    Where: MATH 2300