Lectures related to Motive (algebraic geometry)

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

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

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

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.