Uploaded March 2026 | Updated September 2026, 2 weeks ago
2-representations are categorical versions of representations of Lie algebras. Tensoring 2-representations is a homotopical operation of a new type. On the other hand, the braiding is given by a surprisingly simple homological construction. Raphaël Rouquier will explain how the usual braiding or the R-matrix describes some homotopical information, and he will discuss the possibility for these to provide Gukov–Manolescu and Gukov–Pei–Putrov–Vafa invariants.
For more information please visit: simonsfoundation.org/event/simons-collaboration-on-new-structures-in-low-dimensional-topology-annual-meeting-2026
2-representations are categorical versions of representations of Lie algebras. Tensoring 2-representations is a homotopical operation of a new type. On the other hand, the braiding is given by a surprisingly simple homological construction. Raphaël Rouquier will explain how the usual braiding or the R-matrix describes some homotopical information, and he will discuss the possibility for these to provide Gukov–Manolescu and Gukov–Pei–Putrov–Vafa invariants.
For more information please visit: simonsfoundation.org/event/simons-collaboration-on-new-structures-in-low-dimensional-topology-annual-meeting-2026
