Coursebooks

Spectral sequences

MATH-684

Lecturer(s) :

Hess Bellwald Kathryn
Kjaer Jens Jakob

Language:

English

Frequency

Only this year

Remark

Spring semester: Thursdays from March 4th to May 20th, 2021

Summary

The goal of the course is to learn how to construct and calculate with spectral sequences. We will cover the construction and introductory computations of some common and famous spectral sequences.

Content

The goal of the course is to learn how to construct and calculate with spectral sequences. We will cover the construction and introductory computations of some common and famous spectral sequences.
Content:
Construction of Spectral Sequences
Bockstein Spectral Sequence
Atiyah-Hirzebruch Spectral Sequence
EHP Spectral Sequence
Leray-Serre Spectral Sequence

Keywords

Algebraic Topology

Learning Prerequisites

Required courses

A background knowledge of algebraic topology and homological algebra are assumed

Resources

Bibliography

Extra chapter on spectral sequences - Hatcher
Conditionally convergent spectral sequences - Boardman
Spectral sequences: friend or foe? - Vakil

In the programs

Reference week

 
      Lecture
      Exercise, TP
      Project, other

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  • Lecture in French
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