Lectures related to Stone-von Neumann Theorem

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

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Explores unitary operators for translation and transformation in quantum mechanics.

Covers conformal blocks and their significance in complex structures and moduli spaces.

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

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Covers the fundamental concepts of quantum mechanics, focusing on Hilbert spaces and operators.

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

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.

Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

Covers the states of composite systems in Hilbert space, including operators, observables, tensor products, eigenvalues, and partial measurements.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Covers the duality principle in linear algebra and its implications in mathematics.

Covers Simon's quantum algorithm, unitary operations, and the Simon problem.