STOAT 2024
Embedded Files
Higher tensor categories and their extensions
Mentored by David Reutter
Cairngorm Lodge, Glenmore, Scotland
September 23rd to 27th, 2024
This workshop constitutes a weeklong retreat with talks, given by workshop participants, and organized discussions in the mornings and evenings; afternoons will be kept clear for informal discussions and collaboration. Its thematic focus will be on the theory of higher tensor categories and its applications to quantum algebra and representation theory. Specifically, topics developed will include fusion 2- (and higher?) categories, their interaction with homotopy theory, their Drinfeld centers, higher-dimensional S-matrices and modularity, and their use in the proof of the minimal-nondegenerate-extension conjecture.
This workshop constitutes a weeklong retreat with talks, given by workshop participants, and organized discussions in the mornings and evenings; afternoons will be kept clear for informal discussions and collaboration. Its thematic focus will be on the theory of higher tensor categories and its applications to quantum algebra and representation theory. Specifically, topics developed will include fusion 2- (and higher?) categories, their interaction with homotopy theory, their Drinfeld centers, higher-dimensional S-matrices and modularity, and their use in the proof of the minimal-nondegenerate-extension conjecture.
The workshop will be led by David Reutter, with additional mentoring by Theo Johnson-Freyd.
The organizers are Patrick Kinnear, Jennifer Brown, Benjamin Haïoun and David Jordan.
Programme
Programme
Talk 1.1 Braided Fusion Categories and Drinfeld Centers (Theodoros Lagiotis)
Talk 1.2 Higher Fusion Categories (Tessa Kammermeier)
Talk 1.3 Extension Theory of Fusion 1-Categories (Jackson Van Dyke)
Talk 2.1 Braided Module Categories and Half-Braided Algebras (Jack Romo)
Talk 2.2 Drinfeld Centers of Fusion 2-Categories (Markus Zetto)
Talk 2.3 Lagrangian Algebras in Drinfeld Centers of Fusion 2-Categories (Adrià Marín Salvador)
Talk 3.1 The S-Matrix of a Braided Fusion 2-Category (Alea Hofstetter)
Talk 3.2 The Non-Degeneracy of Z(Mod(B)) (Leon Liu)
Talk 4.1 A Homotopical Classification of Non-Degenerate Braided Fusion 2-Categories (Cameron Krulewski)
Talk 4.2 Functoriality of Quantum Dimensions (Nivedita)
Talk 4.3 The Klein Invariant (Lorenzo Riva)
Talk 5.1 Finishing the Proof (Daniel Teixeira)
Talk 5.2 Towards a Classification of Fusion 2-Categories (Matthew Yu)
The detailed syllabus is available here.
Cairngorm Lodge Youth Hostel
Glenmore, Aviemore PH22 1QY
We will enjoy exclusive use of the hostel. Participants are welcome to arrive on the Sunday 22nd and leave on the Saturday 28th of September.
All meals from Sunday dinner through Saturday breakfast are provided by the Hostel.
Funding for STOAT was provided by:
Page updated
Google Sites
Report abuse