MD139 Homological Algebra 2

Faculty of Science
autumn 2021
Extent and Intensity
0/2/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. Lukáš Vokřínek, PhD. (lecturer)
Guaranteed by
doc. Lukáš Vokřínek, PhD.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Wed 12:00–13:50 MS1,01016
Course Enrolment Limitations
The course is offered to students of any study field.
Syllabus
  • Spectral sequences: general methods for constructing spectral sequences, examples, examples of computations via spectral sequences, examples of theoretical use of spectral sequences.

  • Homological perturbation theory: strong deformation retracts, homotopy retracts, perturbation lemma, applications to the transfer of structures

  • Operads: definition, algebras, model structure, bar and cobar construction, Koszul duality, homotopy algebras, rigidification, homotopy transfer
Assessment methods
Oral exam.
Language of instruction
Czech
Further Comments
The course is taught only once.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2021/MD139