Lectures related to Global Conservation Laws

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Explores the modern definition of symmetry and its practical applications.

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.

Explores staggered bosons, lattice realizations of gapless field theories with symmetry protection, commutation relations, and criticality.

Explores Lie groups, scalar fields, and vector spaces transformations.

Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores symmetry, Noether's theorem, and conservation laws in physics, emphasizing the role of time and the Hamiltonian.

Discusses isometries and orthonormal bases in mathematics.

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

Covers the fundamental concepts of symmetry and group theory.

Explores symmetries, conservation laws, and their role in physics.

Covers the concept of renormalization in quantum field theory, focusing on regularization and divergences removal.

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores real functions, covering parity, periodicity, and polynomial functions.