Fall 2012 MATH 253 001 LEC

Homological Algebra
Schedule: 
SectionDays/TimeLocationInstructorCCN
001 LECMWF 2-3P 285 CORYWODZICKI, M54447
Units/CreditFinal Exam GroupEnrollment
4NONELimit:30 Enrolled:6 Waitlist:0 Avail Seats:24 [on 11/02/12]
Additional Information: 

Prerequisites: Familiarity with basic vocabulary of rings, modules, categories and functors is expected.

Syllabus: Modern Mathematics is simply unthinkable without Homological Algebra. I will give a rapid and clear introduction to all the fundamental concepts and then will proceed to cover more advanced topics: satellites, spectral sequences, exact categories, and derived categories. In the second part of the course I will provide an introduction to Homotopical Algebra and to modern theory of triangulated categories.

Required Text: Charles Weibel. An Introduction to Homological Algebra, Cambridge University Press

and

Sergei I. Gelfand, Yuri I. Manin. Methods of Homological Algebra, Springer-Verlag

Recommended Reading: Cartan, Eilenberg. Homological Algebra, Princeton 1956 (the first few chapters)