|DATE||April 28 (Wed), 2021|
|TITLE||Quantum 'length' conjecture and 3D quantum trace map I|
|ABSTRACT||After briefly explaining the volume conjecture, I will propose a 'length conjecture'. It relates an asymptotic limit of colored Jones polynomial for a link, which consists of a 'heavy' hyperbolic knot \CK and a 'light' knot K, to the hyperbolic length of the knot K in the knot complement (S^3-\CK). Then, I will introduce "3D quantum trace map" and propose a systematic way of determining full asymptotic expansion of colored Jones polynomial from the map.
( Zoom Link: https://snu-ac-kr.zoom.us/j/89864825602 )