Sary Drappeau: q-Pochhammer symbols and modularity
Tid: Fr 2024-03-08 kl 09.00 - 09.50
Plats: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom
Videolänk: Meeting ID: 921 756 1880
Medverkande: Sary Drappeau (Aix Marseille Université)
Abstract:
In a seminal paper, Zagier studied several examples of what he called “quantum modular forms”. They are maps \(f : \mathbb{Q} \to \mathbb{C}\) which satisfy sort-of modularity relations. One mysterious example came from quantum knot invariants, involving the q-Pochhammer symbol \((q)_n = (1-q)(1-q^2) \dotsb (1-q^n)\). We’ll talk about conjectures and recent works on this object.