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.
Key topics
  • 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
Method of verifying learning outcomes and course completion requirements
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