Title: Leray-Serre Spectral Sequence
Abstract:
In the first half of the lecture, we will talk about spectral sequences and discuss how they arise. We will discuss both the filtration and exact couple approaches.
In the second half I will give the construction of the Leray-Serre spectral sequence connected to a fibration and discuss some examples.
This talk is the first of a two- lecture series. In the second talk, Rekha will prove that the i-th homotopy groups of a sphere S^n are finite when i is greater than n, except in one particular case, using the Serre spectral sequence.
Abstract:
In the first half of the lecture, we will talk about spectral sequences and discuss how they arise. We will discuss both the filtration and exact couple approaches.
In the second half I will give the construction of the Leray-Serre spectral sequence connected to a fibration and discuss some examples.
This talk is the first of a two- lecture series. In the second talk, Rekha will prove that the i-th homotopy groups of a sphere S^n are finite when i is greater than n, except in one particular case, using the Serre spectral sequence.