Lectures related to Conformal Blocks: Functions on Moduli Spaces

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Covers the study of free particle quantum mechanics in AdS and the State-Operator Correspondence in AdS.

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Covers conformal blocks, Young diagrams, and their significance in weight states.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Covers the Dotsenko-Fateev approach to computing correlation functions in quantum field theory.

Covers local fields and correlations in Ising models and conformal field theory.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Covers the GAGA principle, stating that any morphism on projective varieties is constant.

Covers Riemann surfaces as complex manifolds of dimension 1, including transition maps and holomorphic functions.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Covers the Easing model conformal theory, focusing on scaling limits and correlation functions.

Covers the transformation properties of vector fields and their representation in Lorentz tensors.