Conference topics

A graph considered as a (singular) one-dimensional variety and equipped with a differential (in some cases pseudo-differential) "Hamiltonian," is said to be a quantum graph. Such objects have been arising lately in a variety of areas of mathematics, physics, and chemistry. Spectral theory of quantum graphs is also related to the older and more developed spectral theory of combinatorial graphs. One can get an idea of current developments in this field from the articles and references therein of the special issue v. 14, no.1, 2004 of the journal Waves in Random Media. It is planned that the conference will address the following topics:

• Spectral theory of combinatorial and quantum graphs.
• Applications of quantum graphs to number theory, nanotechnology, optics, quantum chaos, and other areas.
• Analysis on fractals.