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- FIELD
- Math: HCMC
- DATE
-
Dec 18 (Thu), 2025
- TIME
- 10:00 ~ 11:00
- PLACE
- 1423
- SPEAKER
- Kricker, Andrew
- HOST
- Kim, Wooyeon
- INSTITUTE
- Nanyang Technological University
- TITLE
- [HG_T]An introduction to the Garoufalidis-Kashaev meromorphic 3D-index and a conjecture for its asymptotics
- ABSTRACT
- In 2017 Garoufalidis and Kashaev defined a fascinating topological invariant which associates to a 3-manifold with toroidal boundary a meromorphic function of two complex variables. It is defined from an ideal triangulation by a "state-integral", where a state is an element of S^1 assigned to every edge of the triangulation and the integrand is a product of quantum dilogarithms obtained from the combinatorics of the triangulation. This invariant is a sort of generating function for the q-series 3D-index of Dimofte, Gaiotto and Gukov which arose in supersymmetric gauge theory.
- FILE
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