**Title of the course:** Introduction to Group and Lie Algebra Homology

**Instructor:** Asst. Prof. Ben Walter

**Institution:** ODTÜ Kıbrıs

**Dates:** 2-8 September 2019

**Prerequisites:** Basic knowledge of groups, rings, and modules

**Level:** Basic knowledge of groups, rings, and modules

**Abstract:** (Ee will follow Weibel’s homological algebra book.)

Week 2 will be chapters 6—7 (with parts of 5 included as needed.)

Group Homology and Cohomology: Definitions and properties, Shapiro’s Lemma, bar resolution, universal central extensions.

Lie Algebra Homology and Cohomology: Definitions, universal enveloping algebras, H^1 and H_1, H^2 and extensions, Chevalley-Eilenberg Complex, universal central extensions.

(Spectral Sequences: To be included as needed.)

**Language: **EN

**Textbook or/and course webpage:** Weibel, C. An Introduction to Homological Algebra