65-508 * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants

Veranstaltungsdetails

Lehrende: Prof. Dr. Ingo Runkel

Veranstaltungsart: Seminar

Anzeige im Stundenplan: M-Sem

Semesterwochenstunden: 2

Unterrichtssprache: Deutsch

Min. | Max. Teilnehmerzahl: 5 | 14

Kommentare/ Inhalte:
In this seminar we will study relations between certain algebraic objects and three-dimensional topology. On the algebraic side, the main ingredients will be Hopf algebras with extra structure, such as an R-matrix, and tensor categories equipped with braiding isomorphisms. On the topological side, we will study invariants of knots and links, invariants of three-manifolds, as well as three-dimensional topological field theories. We will meet, amongst other things, the Jones polynomial, the Hennings invariant, Surgery invariants, the Reshetikhin-Turaev construction, and the universal construction of a topological field theory form a manifold invariant. The focus of this seminar is algebraic, results from topology, such as Reidemeister moves or surgery presentations, will be reviewed but are otherwise taken as given.

This seminar is primarily intended for Masters students in Mathematics and Mathematical Physics. Some knowledge of Hopf algebras and their categories of representations is helpful, but will also be reviewed in the first few talks. This seminar will be held in English.

More information can be found on the webpage https://www.math.uni-hamburg.de/home/runkel/ss20-hopfinv.html .

Modulkürzel:
Ma-M-S_n

Termine
Datum Von Bis Raum Lehrende
1 Mi, 8. Apr. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
2 Mi, 15. Apr. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
3 Mi, 22. Apr. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
4 Mi, 29. Apr. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
5 Mi, 6. Mai 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
6 Mi, 13. Mai 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
7 Mi, 20. Mai 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
8 Mi, 27. Mai 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
9 Mi, 10. Jun. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
10 Mi, 17. Jun. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
11 Mi, 24. Jun. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
12 Mi, 1. Jul. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
13 Mi, 8. Jul. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
14 Mi, 15. Jul. 2020 10:15 11:45 Geom 142 Prof. Dr. Ingo Runkel
Prüfungen im Rahmen von Modulen
Modul (Startsemester)/ Kurs Leistungs­kombination Prüfung Datum Lehrende Bestehens­pflicht
Ma-M-S_1 Seminar 1 (SoSe 20) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 1  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_1 Seminar 1 (SoSe 19) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 3  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_1 Seminar 1 (WiSe 19/20) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 2  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_2 Seminar 2 (SoSe 20) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 1  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_2 Seminar 2 (WiSe 19/20) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 2  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_2 Seminar 2 (SoSe 19) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 3  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_3 Seminar 3 (SoSe 20) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 1  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_3 Seminar 3 (SoSe 19) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 3  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_3 Seminar 3 (WiSe 19/20) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 2  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Ma-M-S_4 Seminar 4 (SoSe 20) / M-Sem  * Seminar on Hopf Algebras, Tensor Categories and Three-manifold Invariants Referat 1  Referat ohne Termin Prof. Dr. Ingo Runkel Ja
Übersicht der Kurstermine
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Lehrende
Prof. Dr. Ingo Runkel