Lectures related to Hilbert modular form

Delves into the construction and optimality of the E8 lattice as the densest sphere packing in dimension eight.

Covers the Petersson inner product and Hecke operators in modular forms theory, exploring their definitions and properties.

Explores de Rham theory, L-values, and extensions, including special value formulas and examples related to Hecke characters and modular forms.

Explores the Monster group, a sporadic simple group with a unique representation theory.

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.

Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.

Explores isogenic graphs, spectral properties, and mathematical applications in modular forms and cryptography.