School of Mathematics, Statistics & Actuarial Science

Conference: Kent Spectral Theory

Held at SMSAS 14-17 April 2014.

Supported by University of Kent Faculty of Sciences, the London Mathematical Society, European Union Marie Curie Action.

During the last few decades operator theory and its applications in various fields, such as hydrodynamics, quantum mechanics, quantum optics, and quantum field theory have been a quickly developing branch of mathematics. This area is strongly influenced by modern analysis, including modern real and complex analysis.

Calculations on a blackboard

One particular new development is the interaction between classical selfadjoint operator theory and modern non-selfadjoint operator theory, two areas which previously had little overlap. This was a key area that this conference focused on.

The idea of the conference was to promote exchange of information between international experts and people in the UK working in different areas of operator theory and analysis. The expectation was that this will be fruitful for both of these branches of mathematics, pointing ways forward to new research questions.

To help the development of young researchers working in the field there was a special session for talks by research students and some financial support was able to made available for research students.

Schedule

Download the Conference Schedule (PDF, 53 KB).

Topics

Included, but not limited to:

  1. Direct and inverse problems for ordinary differential equations (ODEs) and partial differential equations (PDEs)
  2. Spectral theory of non-selfadjoint operators
  3. Theory of dissipative operators and functional models
  4. Block operator matrices
  5. Periodic and quasiperiodic differential operators
  6. Orthogonal polynomials and spectral theory of Jacobi matrices
  7. Quantum graphs
  8. Toeplitz operators and Riemann-Hilbert problems
  9. Mathematical problems in nano-electronics

Invited Speakers

  • Jussi Behrndt (TU Graz, Austria)
  • B. Malcolm Brown (Cardiff University)
  • Christina Camara (Lisbon, Portugal)
  • E. Brian Davies, FRS (King's College, London)
  • Plamen Djakov (Istanbul, Turkey)
  • W. Desmond Evans (Cardiff University)
  • Daphne Gilbert (Dublin)
  • Gerd Grubb (Copenhagen, Denmark)
  • Jan Janas (Krakow, Poland)
  • Stanislas Kupin (Bordeaux, France)
  • Pavel Kurasov (Stockholm, Sweden)
  • Heinz Langer (Vienna, Austria)
  • Ari Laptev (Imperial College, London)
  • Marco Marletta (Cardiff University)
  • Boris Pavlov (St.Petersburg/Auckland)
  • Michael Plum (Karlsruhe, Germany)
  • Roman Romanov (St.Petersburg, Russia)
  • Alexander Sobolev (UCL)
  • Christiane Tretter (Bern, Switzerland),

Organisers

Dr Ian Wood

Prof Sergey Naboko

Presentations

A selection of the presentation slides from the event are listed below. These are arranged alphabetically by the speaker's family name.

 

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School of Mathematics, Statistics and Actuarial Science (SMSAS), Cornwallis Building, University of Kent, Canterbury, Kent CT2 7NF.

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Last Updated: 11/09/2014