User:Victor

From TorontoMathWiki

Contents 1 Victor Ivrii 2 General 2.1 Contact 2.2 Membership 3 Research 3.1 Publications 3.2 Current stage (working on the Future Book) 4 Teaching 4.1 Fall 2012 4.2 Spring 2013 5 Conferences 5.1 Weyl law at 100, Fields Institute, September 19—22, 2012 5.2 Spectral Theory and Partial Differential Equations A conference in honor of James Ralston, UCLA June 17—21, 2013 6 Talks

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

• BibServer
• arXiv
• publications-to-download
• Future Book

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

• 2012F_APM346_PDE
  • Course website
  • Course Forum
• 2012F_MAT1075_Microlocal_Analysis

Spring 2013

• 2013S_MAT244_DE

Conferences

• Around scattering by obstacles and billiards, Aveiro, Portugal, March, 30—April, 1, 2012
  • Victor Ivrii, 100 years of Weyl's law

• Workshop on Quantum Many Body Systems, CRM, Montreal, May 28—June 1, 2012
  • Time-Table
  • Victor Ivrii, Asymptotics of the ground state energy and related topics for heavy atoms and molecules

• Workshop on Geometry of Eigenvalues and Eigenfunctions, CRM, Montreal, June 4—8, 2012
  • Time-Table
  • Victor Ivrii, 100 years of Weyl's law
  • Victor Ivrii, Some open problems, Related to Spectral Theory of PDOs

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

• Spectral Theory and Partial Differential Equations, UCLA June 17-21, 2013

Talks

• 100 years of Weyl's law—Mathematical Analysis and Applications Seminar, Weizmann Institute of Science, May 8, 2012
• 100 years of Weyl's law—Jerusalem Analysis and PDEs seminar, Hebrew University at Jerusalem, 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.