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Résumé |
Three-dimensional complex Chern-Simons theory is deeply related to physics and
mathematics in low dimensions. In particular, the perturbative expansion of its
partition function gives rise to factorially divergent series, which exhibits
interesting resurgent structure and provides new insights into various topics such
as 3D-3D correspondence and quantum modularity. In this informal talk, I will
discuss the resurgent property of the partition function on some hyperbolic
manifolds at a generic level k, extending previous works on the level 1 case.
Along the way, all background materials will be carefully introduced to make the
talk also accessible to the non-experts. This is based on an upcoming work with
Jie Gu. |
