Algebra Seminar: Non-semisimple TQFTs and BPS q-series

Monday, October 25 at 3:30pm to 4:30pm

This is a past event.

Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089


Sergei Gukov, Caltech

Abstract: We propose and in some cases prove a precise relation between 3-manifold invariants associated with quantum groups at roots of unity and at generic q. Both types of invariants are labeled by extra data which plays an important role in the proposed relation. Bridging the two sides -- which until recently were developed independently, using very different methods -- opens many new avenues. In one direction, it allows to study (and perhaps even to formulate) q-series invariants labeled by spinc structures in terms of non-semisimple invariants. In the opposite direction, it offers new insights and perspectives on various elements of non-semisimple TQFT's, bringing the latter into one unifying framework with other invariants of knots and 3-manifolds that recently found realization in quantum field theory and in string theory.

 

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department
Mathematics
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