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吴文俊数学重点实验室代数学系列讲座之五十七【Ki-Bong Nam】

报告题目:Notes on Spectral Sequences

报告人:Ki-Bong Nam, Univ. of Wisconsin-Whitewater

时  间:2014年6月20日(周五)  下午4:00—5:00

地  点:东区管理科研楼  数学科学学院1518室

内容提要:

A spectral sequence is very important concept in mathematics. We introduce the spectral sequence in this talk. Since a filtration of a differential graded modules give a long exact sequence, we make a spectral sequence of the filtration. By considering several examples of spectral sequences, we will derive some interesting problems. Using the spectral sequence, we can calculate the (co)homology of bi-graded modules. Immediately, we can find the first and the second homology of bi-graded modules which is very important for cyclic homology. Finally, we show that Tor is independent of the variable resolved. We will also consider some interesting recent mathematical problems.

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