Speaker
Alexander Alexandrov
(CGP IBS)
Description
In their recent work R. Panharipande, J. Solomon and R.
Tessler constructed intersection theory on the moduli spaces of
Riemann surfaces with boundaries. The goal of my talk is to describe
the generating function of this theory, which is a simplest example of
the open topological string model, in terms of matrix models and
integrable hierarchies. The geometrical description of the open theory
is much more complicated then the closed one, however, on the level of
matrix
models and integrable systems the difference is not so dramatic and
the open case can be described by a natural deformation of the
Kontsevich-Witten model.