Introduction to Homological Algebra

Time: 10:40 - 12:15, Tue,Fri, - 12/9/2022

Venue:Venue: 1129B Zoom: 482 240 1589 PW: BIMSA

Speaker:Sergei Ivanov (Research Fellow)

Record: Yes

Level: Graduate

Language: English


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


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.


[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:

TA: Dr. Ping He,

DATESeptember 9, 2022
Related News
    • 0

      Introduction to Prismatic cohomology

      Record: NoLevel: GraduateLanguage: EnglishPrerequisiteAlgebraic geometry (background in algebraic number theory will be helpful)AbstractPrismatic cohomology, which is developed in a recent work of Bhatt-Scholze, is a cohomology theory for schemes over p-adic rings. It is considered to be an overarching cohomology theory in p-adic geometry, unifying etale, de Rham, and crystalline cohomology. Du...

    • 1

      Introduction to Exceptional Geometry

      Record: YesLevel: GraduateLanguage: EnglishPrerequisiteLinear algebra, basics of Riemmanian geometryAbstractThe classification of Riemannian manifolds with special holonomy contains two “exceptional” cases: G2 and Spin(7). Manifolds with holonomy contained in G2 or Spin(7) are called G2-manifolds or Spin(7)-manifolds, respectively. In this course, I will introduce various topics of G2 and Spi...