清华主页 EN
导航菜单

Introduction to Homological Algebra

来源: 09-09

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

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

主讲人:Sergei Ivanov (Research Fellow)

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


返回顶部
相关文章
  • Homological conjectures and singularities in mixed characteristic

    About the Speaker Linquan Ma is an associate professor of mathematics at Purdue University. He obtained his Ph.D from University of Michigan in 2014 under the direction of Melvin Hochster. He has been awarded a Sloan research fellowship in 2020. His main research is on commutative algebra and algebraic geometry. Recently, he has been focused on the development of a mixed characteristic singular...

  • Introduction to Topos Theory | Background: universal algebra

    opos theory is a branch of mathematics, based on category theory, which has connections to both algebraic geometry and mathematical logic. Within mathematical logic it can be used to give alternative, more flexible foundations for all of mathematics, and in particular provides the foundation for subjects such as synthetic differential geometry. More recently, the work of Olivia Caramello has sh...