Speaker
Description
Matrix models field has gone wild in terms of average equation size. On the example of Gaussian model I'll show the perspective, where everything simplifies, compactifies, familiar concepts become more apparent and integrals even become convergent. Infinite amount of Virasoro constraints becomes one matrix Ward identity. Generating function of Gaussian model correlators becomes multivariate Hermite polynomial. W-representation becomes standard differential operator representation of this Hermite polynomial and Rodrigues' type formulas complement this representation. Equivalence of 2d quantum and topological gravities seems to have something in common with the known fact that asymptotic of Hermite functions as n→∞ is Airy function. The β-deformation of this picture is also rather straightforward.
