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2004-2005 Warwick EPSRC Symposium Workshop

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The Mathematics of Quantum Systems

Workshop on
Spectral Theory
4-9 April 2005

Organisers: E Brian Davies (King's College London), W Des Evans (Cardiff)

Venue: Room B3.03, Mathematics Institute, University of Warwick

DRAFT PROGRAMME - 23rd March 2005

Monday 4 April 2005
9:30-10:30 M Van den Berg (Bristol)
Lecture 1: Asymptotics of heat flow
Coffee served in Common Room
11:00-12:00

H Siedentop (Munich)
The Self-Consistent Polarized Vacuum of the Renormalized Electron Positron Field

M Hager (Ecole Polytechnique,Paris)
Spectral instability of non-selfadjoint operators

Lunch break
13:45-14:45 A Laptev (Stockholm),
Lecture 1:  Spectral inequalities and their application
14:45-15:45 W N Everitt (Birmingham) 
The methods of symplectic algebra applied to the spectral theory of linear partial differential equations

D B Pearson (Hull) 
Some calculations of spectral density for one-dimensional Schödinger operators

Tea served in Common Room
16:15-17:15 L Parnovsky (University College London) 
Distribution of lattice points in Euclidean and hyperbolic spaces

M Melgaard (Uppsala) 
On Aharonov-Bohm Hamiltonians

18:30  Buffet dinner served in Common Room 

Tuesday 5 April 2005
9:30-10:30 A Laptev (Stockholm),
Lecture 2:
Coffee served in Common Room
11:00-12:00  M Esteban (Paris Dauphine)
Lunch break
13:45-14:45 S Naboko (St Petersburg),
Lecture 1: The functional model and the spectral structure of non-self-adjoint operators
14:45-15:45 A Pushnitski (Loughborough)
Spectral asymptotics for the magnetic Schrödinger operators and orthogonal polynomials in the complex plane
K Schmidt (Cardiff)
Absence of spectral concentration in Dirac systems with divergent potential
Tea served in Common Room
16:15-17:15 C Tretter (Bremen)
Spectral properties of the Klein-Gordon equation

A Tyukov (Cardiff)
On localization of pseudo-relativistic energy 


Wednesday 6 April 2005
9:30-10:30 M Van den Berg (Bristol),
Lecture 2:
Coffee served in Common Room
11:00-12:00 A Shkalikov (Moscow)
Specral portraits of non-selfadjoint Sturm-Liouville problems in the semi-classical limit
Trip to Warwick Castle or Stratford-upon-Avon
16:30-17:30 H Langer (Vienna)
Sturm-Liouville operators with singularities and Pontryagin spaces

J Fleckinger (Toulouse)

17:30-18:30 S Naboko (St Petersburg),
Lecture 2:

Thursday 7 April 2005 
9:30-10:30 S Naboko (St Petersburg)
Lecture 3:
Coffee served in Common Room
11:00-12:00 A Sobolev (Sussex)
Lunch break
13:45-14:45 M van den Berg (Bristol),
Lecture 3
14:45-15:45 A Jensen (Aalborg)
The Fermi Golden Rule at Thresholds

C Foerster (Stuttgart)

Tea served in Common Room
16:15-17:15 M Hoffmann-Ostenhof (Vienna)
Properties of Coulombic wave functions and electron densities

P Kurasov (Lund) 
Trace formula for quantum graphs and the inverse spectral problem

19:30 Conference Dinner, Millsy's Restaurant, Earlsdon

Friday 8 April 2005
9:30-10:30 A Laptev (Stockholm),
Lecture 3:  Spectral inequalities and their application
Coffee served in Common Room
11:00-12:00 A Elgart (Stanford)

S Vugalter (Munich)
Radiation Correction to the Binding Energy of Hydrogen

Lunch break
13:45-14:45 G Barbatis (Ioannina) 
Improved Hardy-Rellich inequalities for the polyharmonic operator

H Kovarik (Stuttgart)
A Hardy-type inequality in twisted tubes

14:45-15:45

A Tertikas (Heraklion) 
Improving Hardy and Rellich Inequalities

T Hoffmann-Ostenhof (Vienna) 
Spectral theory and nodal domains

Tea served in Common Room
16:15-17:15 TBA
      

Address:
Mathematics Research Centre
University of Warwick
Coventry CV4 7AL - UK

Fax:
+44 (0)24 7652 3548

Phone:
+44 (0)24 7652 4403

E-Mail:
mrc@maths.warwick.ac.uk

How to get to Warwick

Main Symposium Page

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