An Isaac Newton Institute Workshop

Quantum Graphs, their Spectra and Applications

2 April to 5 April 2007

Workshop Organisers: BM Brown (Cardiff), WD Evans (Cardiff), P Exner (Czech Academy of Sciences), J Keating (Bristol) and P Kuchment (Texas A&M)

in association with the Newton Institute programme entitled
Analysis on Graphs and its Applications (8 January to 29 June 2007)

Programme | Participants | Accepted Posters | Group Photograph

Theme of Workshop:

Analysis on graphs and other discrete structures has been developing for quite some time, in particular due to applications to number theory, algebra, probability theory, spectral geometry, as well as to its usefulness in many practical problems. New objects, so called quantum graphs have emerged recently. These are graphs considered as one-dimensional CW-complexes and equipped with differential or pseudo-differential, rather than customary difference operators. This has happened due to numerous new applications arising in several areas of mathematics, sciences, and engineering, e.g. in nanotechnology, microelectronics, quantum chemistry, superconductivity, optics, etc. Such graphs, besides being in many cases useful low-dimensional models of complex systems, are also used as toy models for studying difficult issues such as Anderson localisation and quantum chaos. The methods used or expected to be useful in analysis on quantum graphs come from a very wide range of topics: algebra, combinatorics, PDEs, spectral theory, micro-local and complex analysis, to name a few.

The workshop will assemble a diverse group of mathematicians and physicists working in or interested in entering this fast developing and fascinating area. Research students and postdocs are encouraged to apply.

Speakers:

Location and Cost:

The workshop will take place at the Newton Institute and accommodation for participants will be provided in single study bedrooms with shared bathroom at Wolfson Court. The conference package, costing £450, includes accommodation, breakfast and dinner from dinner on Sunday 1 April 2007 to breakfast on Friday 6 April 2007, and lunch and refreshments during the days that lectures take place. Limited financial support maybe available to EU young postdocs and EU doctoral students. Participants who wish to attend but do not require accommodation or meals will be charged a registration fee of £90. Self-supporting participants are very welcome to apply.

Application Forms:

Are available here. Invited participants to the semester long programme whose dates coincide with those of the workshop need not apply or pay any registration fee.

Closing Date:

The closing date for the receipt of applications has been extended to: 29 December 2006

Scientific Enquiries:

Should be sent to Peter Kuchment.

The event organisers have a website here.