Conference Description
Bifurcation theory is
a classical subject that goes back to the 19th century. It was featured in one
of Hilbert's famous open problems from the turn of the 20th century, and it
remains an active research area to this day. One of the many applications of
bifurcation theory is to integrable
systems, which is itself an important subject with many applications. Integrable systems can be approached from different areas
of mathematics and physics such as analysis, geometry, algebraic geometry and
representation theory, thus serving as a bridge between them. The bispectral
problem, proposed by Duistermaat and Grunbaum
in 1986, is a mathematical problem motivated by questions from computer
tomography. It turned out that it is closely connected to many different areas
of pure and applied mathematics, and in particular to integrable
systems.
While there have been many conferences
on bifurcation theory and integrable systems, this
conference will be the first that brings together researchers from these two
areas together with researchers interested in the bispectral
problem. One of the main aims of the conference is to stimulate the
interactions among researchers in the three areas of bifurcation theory, integrable systems, and the bispectral
problem. We will also use the opportunity to mark the 60th birthday of
Professor Emil Horozov, who has made important contributions to all of
these subjects.
The conference will have about 20
main invited talks of 60 minutes and 10-15 other talks of 30 minutes. There
will also be time allocated for informal discussions among participants. The program can be
found here.