dr Marcin Piątek, Univ. of Szczecin

Quantum and classical Virasoro conformal blocks: advances in the theory, and new applications

I will review my last few years research achievements obtained in collaboration with Franco Ferrari and Artur Pietrykowski. Our research concerns the semiclassical limit of two-dimensional Conformal Field Theory and its applications. I discuss in particular: connections between the semiclassical limit with Yang-Mills theories, quantum integrable systems and moreover applications in black holes physics and holographic interpretation.