Geometry Seminar

Date: April 13, 2018

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Renaud Detcherry, Michigan State Universeity

Title: Quantum representations and monodromies of fibered links

Abstract: According to a conjecture of Andersen, Masbaum and Ueno, the Witten-Reshetikhin-Turaev quantum representations of mapping class groups send pseudo-Anosov mapping classes to infinite order elements, when the level is big enough. We relate this conjecture to a properties about the growth rate of Turaev-Viro invariants, and derive infinite families of pseudo-Anosov mapping classes that satisfy the conjecture, in all surfaces with n boundary components and genus g>n>=2. These families are obtained as monodromies of fibered links containing some specific sublinks.