Modular Lambda Function: Properties and Applications

Related lectures (28)

Page 1 of 3

Explores essential chief series in tdlc groups, focusing on closed, normal subgroups and their chief factors.

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

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

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

Explores holomorphic maps, ramification points, and the genus of a modular curve.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores uniform convergence of series of functions and its significance in complex analysis.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

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