Lectures related to Cyclotomic character

Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.

Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.

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

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.