Record: Yes

Level: Graduate

Language: English

Prerequisite

basic theory of rings and modules, basic group theory, basic category theory

Abstract

Such concepts as homology and cohomology of algebraic objects, spaces and varieties have become an integral part of modern mathematics. This course is dedicated to introducing this range of ideas from the side of algebra.

Reference

[1] C.A. Weibel. An introduction to homological algebra. No. 38. Cambridge university press, 1994.

[2] P.J. Hilton and U. Stammbach. A Course in Homological Algebra. Graduate texts in Mathematics 4, Springer-Verlag, 1971.

[3] M. S. Osborne, Basic homological algebra, Graduate Texts in Mathematics, Springer, 2000.

[4] H. Cartan and S. Eilenberg. Homological algebra. Princeton University Press, 1956.

[5] S. Mac Lane, Homology, Springer, Berlin, 1963

Lecturer Email: ivanov.s.o.1986@gmail.com

TA: Dr. Ping He, pinghe@bimsa.cn