SoSe 19: Homological Algebra
Tohru Kohrita
Comments
Content: We learn the basics of homological algebra through the study of group homology and cohomology. Group cohomology can be defined completely algebraically, but it was originally defined by topological methods. Namely, the cohomology of a group G is the singular cohomology of the classifying space (a certain topological space) of G. Hence, we hope to appreciate the interplay and analogies between algebra and topology while learning homological techniques. Some familiarity with singular homology and cohomology is helpful, but not necessary. We intend to cover the materials such as projective and injective modules, tensor product, derived functors, delta functors, spectral sequences.
Reference: Kenneth S. Brown, Cohomology of Groups, Graduate Texts in Mathematics, 87, Springer.
Literature: will be announced in the lecture.
close13 Class schedule
Regular appointments