AGAW02
2 April 2007 to 5 April 2007
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.
The event organisers have a website here.
Monday 2nd April 2007 | |||
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08:30 to 09:55 | No Room Required | ||
09:55 to 10:00 | Room 1 | ||
10:00 to 11:00 | Room 1 | ||
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 | Room 1 | ||
12:30 to 13:30 | No Room Required | ||
14:00 to 15:00 | Room 1 | ||
15:00 to 15:30 | No Room Required | ||
15:30 to 16:30 | Room 1 | ||
16:30 to 17:00 |
Convergence of resonances on thin branched quantum wave guides |
Room 1 | |
17:00 to 18:00 | No Room Required | ||
18:45 to 19:30 | No Room Required |
Tuesday 3rd April 2007 | |||
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09:00 to 10:00 |
Universal occurrence of localization in continuum Anderson Hamiltonians |
Room 1 | |
10:00 to 11:00 |
Singular spectral types for certain spherically homogeneous trees |
Room 1 | |
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 | Room 1 | ||
12:30 to 13:30 | No Room Required | ||
14:00 to 15:00 | Room 1 | ||
15:00 to 15:30 | No Room Required | ||
15:30 to 16:00 | Room 1 | ||
16:10 to 16:40 |
Spectral asymptotics of percolation Laplacians on amenable Cayley graphs |
Room 1 | |
16:50 to 17:20 | Room 1 | ||
18:45 to 19:30 | No Room Required | ||
20:00 to 21:00 | Room 1 |
Wednesday 4th April 2007 | |||
---|---|---|---|
09:00 to 10:00 | Room 1 | ||
10:00 to 11:00 | Room 1 | ||
11:00 to 11:30 | No Room Required | ||
11:30 to 12:30 | Room 1 | ||
12:30 to 13:30 | No Room Required | ||
15:30 to 16:30 |
Maximum principle for elliptic inequalities on the stratified sets |
Room 1 | |
16:30 to 17:00 | Room 1 | ||
17:10 to 17:40 |
On control and Inverse problems for the wave equation on graphs |
Room 1 | |
17:50 to 18:20 |
Eigenvalue estimates for Schroedinger operators on regular metric trees |
Room 1 | |
20:00 to 18:00 | No Room Required |
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