Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, June 5, 2017 - 12:00 to 13:00

Location:

Stag 163

Guest Speaker:

Andrey Blinov

Institution:

Undergraduate Student

Abstract:

Spectral sequences are powerful tools to compute the homology groups of spaces that are difficult to compute by other means.

I will show how this method of spectral sequences can be used to find the homology groups of the loop space of n-dimensional spheres.

Practice shows that it is a good idea to learn about this topic in several steps: as a first step, it is not necessary to be able to understand

the rigorous statements and proofs of all the corresponding theorems. It is enough to look at a couple of examples in order understand

how to use spectral sequences in practice: that is exactly what I am going to show.