同调代数导论
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.
讲师
日期
2022年09月23日 至 12月23日
网站
修课要求
basic theory of rings and modules, basic group theory, basic category theory
参考资料
[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
[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
听众
Graduate
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Sergei Ivanov教授是来自俄罗斯圣彼得堡的数学家。 他的研究兴趣包括同调代数、代数拓扑、群论、单纯同伦论和单纯群。