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Course, academic year 2017/2018
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MSTR Elective 1 - NMAG498
Czech title: Výběrová přednáška z MSTR 1
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: English, Czech
Teaching methods: full-time
Note: you can enroll for the course repeatedly
Guarantor: doc. RNDr. Jan Šťovíček, Ph.D.
Class: M Mgr. MSTR
M Mgr. MSTR > Volitelné
Classification: Mathematics > Algebra
Annotation -
Last update: T_KA (22.04.2016)

Non-repeated universal elective course.
Literature -
Last update: doc. RNDr. Jan Šťovíček, Ph.D. (14.09.2016)

[1] M. Groth, Derivators, pointed derivators and stable derivators, Algebr. Geom. Topol. 13 (2013), no. 1, 313–374.

[2] M. Groth, Book project on derivators, http://www.math.uni-bonn.de/~mgroth/monos/intro-to-der-1.pdf

[3] M. Groth, J. Stovicek, Tilting theory via stable homotopy theory, to appear in J. Reine Angew. Math., doi:10.1515/crelle-2015-0092.

[4] A. Grothendieck, Les dérivateurs, manuscript (1991), http://www.math.jussieu.fr/∼maltsin/groth/Derivateurs.html

[5] A. Heller, Homotopy theories, Memoirs of the Amer. Math. Soc. 383, Amer. Math. Soc. (1988)

Syllabus -
Last update: doc. RNDr. Jan Šťovíček, Ph.D. (14.09.2016)

The goal of the course is to get acquainted with one of the axiomatic approaches to (stable) homotopy theory - so-called Grothendieck derivators. They could be viewed as a minimalist way to enhance usual homotopy or derived categories with a well-behaved calculus of homotopy limits and colimits. It is useful to consider also methods from representation theory of finite dimensional algebras to understand some aspects of this axiomatization.

 
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