Speaker
Victor Mishnyakov, Nordita, Stockholm
Abstract
It is a well-known fact that matrix models provide solutions to Painlevé equations. In particular, this is often seen as a consequence of the reduction of certain integrable equations, such as the Toda equations, by the so-called Virasoro constraints—both of which are natural objects in the theory of matrix models. In this /paper, I will revisit this scenario in the case of the Painlevé VI equation and its related matrix model, also considering their connection to conformal blocks. Finally, I will explore the possibility of beta-deformations in light of some recent results.