Universal elective seminar
WS 2025/26: (1) Brown Representability Theorem (Michal Hrbek), (2) Seminar on representations of
groups (Pavel Růžička).
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (23.09.2025)
Výběrový seminář na různá témata.
V ZS 2025/26: (1) seminář Brownova věta o reprezentabilitě Michala Hrbka a (2) Seminář z reprezentací grup
Pavla Růžičky.
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (23.09.2025)
Course completion requirements -
Active participance.
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (28.10.2019)
Aktivní účast (charakter požadavku neumožňuje náhradní termín).
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (28.10.2019)
Literature -
Brown Representability Theorem.
Neeman, Amnon. "The Grothendieck duality theorem via Bousfield’s techniques and Brown representability." Journal of the American Mathematical Society 9.1 (1996): 205-236.
Brown, Edgar H. "Cohomology theories." Annals of Mathematics 75.3 (1962): 467-484.
Seminar on representation of groups
Peter Woit , Quantum Theory, Groups and Representations, Springer Cham, 2017, pp. xxii + 668
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (23.09.2025)
Brownova věta o reprezentabilitě.
Neeman, Amnon. "The Grothendieck duality theorem via Bousfield’s techniques and Brown representability." Journal of the American Mathematical Society 9.1 (1996): 205-236.
Brown, Edgar H. "Cohomology theories." Annals of Mathematics 75.3 (1962): 467-484.
Seminář z reprezentací grup
Peter Woit , Quantum Theory, Groups and Representations, Springer Cham, 2017, pp. xxii + 668
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (23.09.2025)
Syllabus -
Brown Representability Theorem.
(1) Triangulated categories and functors as abstract setting for homotopical algebra.
(2) Brown representability theorem in several formulations.
(3) Applications in algebraic topology and algebraic geometry (Grothendieck duality).
Seminar on representation of groups
Knowledge in the scope of lectures Introduction to the group theory and Group representations.
We will read the Woit’s book on apllication of the representation theory in quantum physics. We shall understand how specific groups and their representations are used, and thus expand theoretical knowledge with non-trivial examples. Participants will take turns presenting chapters from the aforementioned book.
Prerequisites: Knowledge in the scope of lectures Introduction to the group theory and Group representations.
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (23.09.2025)
Brownova věta o reprezentabilitě.
(1) Základy o triangulovaných kategoriích a funktorech.
(2) Brownova věta o reprezentabilitě v různých formulacích.
(3) Aplikace v algebraické topologii a algebraické geometrii (Grothendieckova dualita).
Seminář z reprezentací grup
Knowledge in the scope of lectures Introduction to the group theory and Group representations.
We will read the Woit’s book on apllication of the representation theory in quantum physics. We shall understand how specific groups and their representations are used, and thus expand theoretical knowledge with non-trivial examples. Participants will take turns presenting chapters from the aforementioned book.
Prerequisites: Knowledge in the scope of lectures Introduction to the group theory and Group representations.
Last update: Žemlička Jan, doc. Mgr. et Mgr., Ph.D. (23.09.2025)
