Lectures related to Monster Group: Representation

Covers the properties and applications of modular forms and discusses equidistribution and modularity.

Covers the graphical definition of functions, focusing on level sets and domains.

Covers the isotopic decomposition of modules into simple components and their properties.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Covers Morse theory, focusing on critical points and non-degeneracy.

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

Explores representation theory and character theory of finite groups, including scalar product and McKay graph.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.