Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Modern Algebraic GeometryCovers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
L-values and ExtensionsExplores de Rham theory, L-values, and extensions, including special value formulas and examples related to Hecke characters and modular forms.
Local Homeomorphisms and CoveringsCovers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.