Past Seminars: Spring 2020


  • February 6, 2020
    Yehuda Pinchover (The Technion - Israel Institute of Technology)
    How large can Hardy-weight be?
    Abstract: In the first part of the talk we will discuss the existence of optimal Hardy-type inequalities with 'as large as possible' Hardy-weight for a general second-order elliptic operator defined on noncompact Riemannian manifolds and discrete graphs, while the second part of the talk will be devoted to a sharp answer to the question: "How large can Hardy-weight be?"

  • February 13, 2020
    Mimi Dai (UI-Chicago)
    Wild solutions for MHD models
    Abstract: We will discuss some wild behaviors exhibited by weak solutions of the magnetohydrodynamics with Hall effect and one of its limit cases. It includes lack of uniqueness of weak solutions in the Leray-Hopf class and construction of finite energy weak solutions that do not conserve magnetic helicity and magnetic energy.

  • February 20, 2020
    Liming Sun (Johns Hopkins University)
    Some convexity theorems of translating solitons in the mean curvature flow
    Abstract: I will be talking about the translating solitons (translators) in the mean curvature flow. Convexity theorems of translators play fundamental roles in the classification of them. Spruck and Xiao proved any two dimensional mean convex translator is actually convex. Spruck and I proved a similar convex theorem for higher dimensional translators, namely the 2-convex translating solitons are actually convex. Our theorem implies 2-convex translating solitons have to be the bowl soliton. Our second theorem regards the solutions of the Dirichlet problem for translators in a bounded convex domain. We proved the solutions will be convex under appropriate conditions. This theorem implies the existence of n-2 family of locally strictly convex translators in higher dimension. In the end, we will show that our method could be used to establish a convexity theorem for constant mean curvature graph equation.

  • March 12, 2020
    Zuoqin Wang (University of Science and Technology of China at Hefei and MIT)
    Semi-classical isotropic functions and applications
    CANCELED

  • March 19, 2020
    Jie Qing (University of California at Santa Cruz)
    On asymptotically hyperbolic Einstein manifolds
    CANCELED

  • March 26, 2020
    Hyunju Kwon (Institute for Advanced Study, Princeton)
    Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
    CANCELED

  • April 22-23, Two-days symposium: CANCELED
    SPEAKERS:
    Stanley Alama (McMaster, Canada), Luca Capogna (Worcester Polytechnic Institute),
    Gerhard Huisken (Tubingen University), Daniel Ketover (Rutgers University, USA),
    Yannick Sire (Johns Hopkins University), Gabriella Tarantello (Rome Tor Vergata, Italy),
    Yisong Yang (Courant Institute, New York),

  • April 30, 2020
    Andre Souza (MIT), CANCELED