User:Victor
From TorontoMathWiki
Victor Ivrii
General
Contact
- Victor Ivrii, Professor, Department of Mathematics, University of Toronto,
- 40 St.George Str., Toronto, Ontario M5S 2E4, Canada
- Office: HU 1008
- Office phone: (416)978-4031
- Fax: (416)978-4107
- ivrii@math.toronto.edu
- vivrii@gmail.com
- http://www.math.toronto.edu/cms/ivrii-victor/
- http://www.math.toronto.edu/ivrii/
- http://weyl.math.toronto.edu/blog/ My Blog Ramblings and Musings
Membership
- Fellow of Royal Society of Canada
- Fellow of American Mathematical Society
- Member of Canadian Mathematical Society
- Member of International Association of Mathematical Physics
- Member of TeX User Group
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
- Around scattering by obstacles and billiards, Aveiro, Portugal, March, 30—April, 1, 2012
- Victor Ivrii, 100 years of Weyl's law
Weyl law at 100, Fields Institute, September 19—22, 2012
- Weyl law at 100, Fields Institute, September 19—22, 2012
- Stéphane Nonnenmacher, Counting stationary modes: a discrete view of geometry and dynamics (Public lecture)
- Daniel Tataru, Sharp $L^p$ bounds on spectral clusters for rough metrics
- Melissa Tacy, Directional Localization and Toral Eigenfunctions
- Gilles Lebeau, Hypoelliptic random walks
- Chris Sogge, A couple of endpoint restriction theorems for eigenfunctions
- John Toth, Intersection Bounds for Nodal Sets of Planar Neumann Eigenfunctions with Interior Analytic Curves
- Steve Zelditch, Ergodicity and intersections of nodal sets and geodesics
- Other talks were chalk & blackboard
- 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
- Conference on Microlocal Analysis in Memory of Bernard Lascar, Institut de Mathématiques de Jussieu, Paris, December 3—4, 1213
- With Abstracts
Talks
- 100 years of Weyl's law—Mathematical Analysis and Applications Seminar, Weizmann Institute of Science, Rehovot, Israel, May 8, 2012
- 100 years of Weyl's law—Jerusalem 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