From Turaev to Rokhlin via VOA Characters and Curve Counting, by Sergey Gukov
The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) and the Institute of the Mathematical Sciences of the Americas Consortium (IMSAC)
Consortium Distinguished Lecture Series
November 16 and 17, 2021, 18:30 pm (EEST, Sofia time)
IMSA-Miami, via Zoom
California Institute of Technology
Prof. Sergei Gukov is a mathematical physicists.
He is known for his work on Witten – Reshetichin – Turaev invariants, Gukov-Witten surface operators, Gukov-Pei-Putrov-Vafa invariants.
For his works he has receive Clay Mathematics Institute Long Term Prize Fellowship (2001-2006) Sloan Research Fellowship in Science & Technology.
From Turaev to Rokhlin via VOA Characters and Curve Counting
Abstract: These lectures will present a board survey of recent work on new q-series invariants of 3-manifolds labeled by Spin-C structures. While the original motivation for studying these invariants is rooted in topology, they exhibit a number of unexpected properties and connections to other areas of mathematics, e.g. turn out to be characters of logarithmic vertex algebras. The integer coefficients of these q-series invariants can be understood as the answer to a certain enumerative problem, and when q tends to special values these invariants relate to other invariants of 3-manifolds labeled by Spin and Spin-C structures.