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Research Seminar - Winter term 2012
Description:
This is the joint research seminar of the groups
of Christoph Wockel, Christoph Schweigert and Ingo Runkel.
The seminar takes place
- Tuesdays, 14:15-15:45 in 434.
The main topics we plan to cover are
- Extended topological field theories and n-categories
- Hopf monads
The current plan for the individual sessions is (details will change):
- Tue, 16.10: Jeffrey Morton on Categorification and TQFT
- Tue, 23.10: Jeffrey Morton (cont.) and Alessandro Valentino on an outline of Lurie's statement/proof
- Tue, 30.10: Alessandro Valentino part 2
- Tue, 6.11: Simplicial spaces 1 (Sebastian Novak)
- Tue, 13.11: Simplicial spaces 2 (Marc Palm)
- Tue, 20.11: Hopf monads 1 (Jennifer Maier)
- Tue, 27.11: Hopf monads 2 (Jennifer Maier / Alexander Barvels)
- Tue, 4.12: Hopf monads 3 / buffer (Alexander Barvels)
- Mon, 10.12 & Tue, 11.12: Monday 14:15 (room 1240) and Tuesday as usual:
Extensions of tensor categories and its relations with Hopf monads
(Sonja Natale, following
1006.0569)
and 1112.3135)
- Tue, 18.12: (no seminar)
- Tue, 8.1: Segal n-categories 1 (Nathan Bowler)
- Tue, 15.1: Segal n-categories 2 (Jeffrey Morton)
- Tue, 22.1: Fully dualisable objects (Alessandro Valentino)
- from Mon, 28.1: 4 talks by Chris Schommer-Pries:
- Mon 10.15-11.45, GRK seminar room,
"The unicity theorem for higher categories"
- Tue 14.15-15.45, room 434,
"An explicit tour of the cobordism hypothesis in dimension one"
- Wed 10.15-11.45, lecture hall H3
"The SO(2)-action from 2-dualizability"
- Thu 10.15-11.45, room 1729
"The SO(3)-action from 3-dualizability"
Literature:
- Lurie's paper on the classification of TFTs
[pdf]
- Friedmann on simplicial sets
[arXiv]
- Segal spaces:
[nlab] and
[Rezk];
various notions of higher categories, see in particular section 5 by
[Cheng,Lauda]
- Bruguières and Virelizier on Hopf monads
[arXiv]
and
[arXiv]
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