User:Victor

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Victor Ivrii

Victor.jpg
 

General

Contact

Membership

Research

My field: Analysis, microlocal analysis, spectral theory, partial differential equations

Publications

Current stage (working on the Future Book)

    • Chapter 26: Asymptotics of the ground state energy of heavy molecules in the self-generated magnetic field.

(Chapters 21-23 on back burner)

See http://weyl.math.toronto.edu/victor_ivrii/research/future-book/current-stage/.

Teaching

Fall 2012

Spring 2013

Conferences

Weyl law at 100, Fields Institute, September 19—22, 2012

  • Hamiltonians in Magnetic Fields Mittag-Leffler Institute Program, Fall 2012
    • Victor Ivrii, Asymptotics of the ground state energy and related topics for heavy atoms and molecules, December 12, 2012

Spectral Theory and Partial Differential Equations A conference in honor of James Ralston, UCLA, June 17—21, 2013

5th St.Petersburg Conference in Spectral Theory dedicated to the memory of M.Sh.Birman, Euler Institute, Saint-Petersburg, July 2—6, 2013

Conference on Microlocal Analysis in Memory of Bernard Lascar, Institut de Mathématiques de Jussieu, Paris, December 3—4, 2013

Talks

  • 100 years of Weyl's lawMathematical Analysis and Applications Seminar, Weizmann Institute of Science, Rehovot, Israel, May 8, 2012
  • 100 years of Weyl's lawJerusalem Analysis and PDEs seminar, Hebrew University at Jerusalem, Israel, May 17, 2012
    In 1911-1912 Hermann Weyl published 2 papers (more followed) describing distribution of eigenvalues of Dirichlet Laplacian in the bounded domain. These were one of the first Weyl's publications and the new exciting field of mathematics has been created.
    I will discuss
    • Weyl law with sharper remainder estimates (in particular, Weyl conjecture);
    • Generalized Weyl law;
    • When generalized Weyl law works and when it does not and how it should be modified;
    • What should be used instead of eigenvalue counting function when the spectrum is not necessarily discrete;
    • Weyl law and Thomas-Fermi theory.
  • Asymptotics of the ground state energy and related topics for heavy atoms and molecules, Séminaire: Problèmes Spectraux en Physique Mathématique, Institut Henri Poincaré, December 2, 2013
  • Eigenvalue Asymptotics for Dirichlet-to-Neumann Operator. Analysis and Geometry Seminar, Department of Mathematics, Northeastern University, November 15, 2014
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