MAGIC053: Sheaf Cohomology

Course details

Semester

Autumn 2021
Monday, October 4th to Friday, December 10th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Timetable

Tuesdays
10:05 - 10:55

Course forum

Visit the MAGIC053 forum

Description

Sheaves and their cohomology play a fundamental role in modern Algebraic, Arithmetic and Differential Geometry. The goal of this course is to give a thorough introduction to the basics of sheaf cohomology and to give a panorama of sheaf theoretic applications. Elementary sheaf theory hardly needs any prerequisites other than general mathematical language, the cohomology of sheaves will be introduced only after the main result of homological algebra has been recalled, and background in the respective area would be useful for the final applications.

Prerequisites

See Course Description.

Syllabus

  • Elementary sheaf theory;
  • Cohomology of abelian sheaves;
  • Injective, flabby, acyclic, soft and fine sheaves;
  • Brief survey on sheaf cohomology for topological and differentiable manifolds, for Riemann surfaces and for algebraic varieties.

Lecturer

  • BK

    Dr Bernhard Koeck

    University
    University of Southampton

Bibliography

No bibliography has been specified for this course.

Assessment

Attention needed

Assessment information will be available nearer the time.

Files

Only consortium members have access to these files.

Please log in to view course materials.

Lectures

Please log in to view lecture recordings.