Speaker:  Sunghyuk Park (Harvard University)

Title:  Quantum UV-IR map and curve counts in skeins

Abstract:  Quantum UV-IR map (a.k.a. q-nonabelianization map), introduced by Neitzke and Yan, is a map from UV line defects in a 4d N = 2 theory of class S to those of the IR. Mathematically, it can be described as a map between skein modules and is a close cousin of quantum trace map of Bonahon and Wong.

In this talk, I will discuss how quantum UV-IR map can be generalized to a map between HOMFLYPT skein modules, using skein valued curve counts of Ekholm and Shende.