Posted in
Speaker:
Sergei Gukov
Zugehörigkeit:
Caltech
Datum:
Mit, 18/09/2019 - 11:30 - 12:20
Location:
MPIM Lecture Hall
Parent event:
Workshop on 4-manifolds, September 16 - 20, 2019 Which 4d TQFTs and 4-manifold invariants detect the Gluck twist? Guided by questions like this, we will look for new invariants of smooth 4-manifolds and knotted surfaces in 4-manifolds. Traditionally, a construction of most such invariants and TQFTs involves a choice of certain algebraic structure, so that one can talk about "invariants for $SU(2)$" or a "TQFT defined by a Frobenius algebra." Surprisingly, recent developments lead to an opposite phenomenon, where algebraic structures are labeled by 3-manifolds and 4-manifolds, so that one can speak of VOA-valued invariants of 4-manifolds or MTC-valued invariants of 3-manifolds. Explaining these intriguing connections between topology and algebra will be the main goal of this talk.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |