HEP Theory Journal Club

Liouville theory and the quantum geometry of hyperbolic surfaces

Keivan Namjou

McGill

Quantum Liouville theory is expected to be related to the quantized spaces of hyperbolic surfaces. More precisely, it is conjectured that the conformal blocks of quantum Liouville theory are the eigenfunctions of the length operators in quantum Teichmuller theory. In this talk, I will review the moduli spaces of hyperbolic surfaces and explore their relation to Liouville theory.