L-values and Extensions

Related lectures (31)

Page 3 of 4

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

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

Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Explores the properties and transformations of theta functions, including modular forms and lattice levels.

Covers the properties of finite dimensional algebras and non-semisimple representations.

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

Covers the basics of Homological algebra, focusing on Ext modules and their significance in modern mathematics.