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Speaker:

Sergei Gukov
Affiliation:

Caltech
Date:

Wed, 2019-09-18 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.

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