ACTIVITIES AT THE GRADUATE CENTER

The seminars organized at the Graduate Center can be found here weekly seminars bulletin.
Here, you will find the conferences in nonlinear analysis we are organizing at the Graduate Center.

Nonlinear Group Study

This meeting aims to investigate nonlinear problems arising in Differential geometry and mathematical physics. It gives graduates students the opportunity to be familiar with a wide range of open problems, and learn tools from the calculus of variations to tackle some of these questions. Our meeting takes place

Goals of these seminars is to discuss techniques that are used nonlinear problems arising in applied mathematics,physics or differential geometry. These events are sponsored by the Initiative for the Theoretical Sciences.

Those participating in the Nonlinear Analysis and PDE seminar may also be interested in the Geometric Analysis Seminar which meets also on Thursdays in the same room 6496 starting at 3pm.

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

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