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Homological and Homotopic Algebra - NMAG562

Title:	Homologická a homotopická algebra
Form of teaching:	lecture
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
Duration in semesters:	1
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Maximum number of enrolled students:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	English, Czech
Teaching methods:	full-time
Repeated enrollment:	2 / 2 / 2 / 2

Guarantor:	doc. RNDr. Jan Šťovíček, Ph.D.
Class:	M Mgr. MSTR M Mgr. MSTR > Volitelné
Classification:	Mathematics > Algebra
Incompatibility :	NALG125
Interchangeability :	NALG125
Is interchangeable with:	NALG125

Annotation -

Introduction to theory of triangulated categories with focus on derived categories of rings and algebras.

Last update: T_KA (14.05.2013)

Course completion requirements - Czech

Předmět je zakončen písemnou zkouškou.

Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (10.06.2019)

Literature -

G. Friedman, An elementary illustrated introduction to simplicial sets, Rocky Mountain J. Math. 42 (2012), 353-423.

P. Goerss, J. F. Jardine, Simplicial homotopy theory, Progress in Mathematics 174, Birkhäuser Verlag, 1999.

M. Hovey, Model categories, Mathematical Surveys and Monographs 63, AMS, 1999.

C. A. Weibel, An introduction to homological algebra, Cambridge University Press, 1994.

Last update: STOVJ8AM (13.10.2018)

Course assessment methods and requirements for successful completion, grading scheme -

The exam is oral and the requirements correspond to the topics covered by the lectures.

Last update: STOVJ8AM (13.10.2018)

Syllabus -

1. Basic facts about simplicial sets

2. Model categoires

3. Algebraic and topological examples

4. More advanced topics to choose from (homological theories, spectra, localization, K-theory)

Last update: STOVJ8AM (13.10.2018)

Course registration requirements -

Basic category theory.

Last update: STOVJ8AM (13.10.2018)