Seminario Teoría de Grupos
Universal L^2-torsion detects fibered 3-manifolds
Ponente: Jianru Duan (University of Oxford)Fecha: miércoles 21 de octubre de 2026 - 11:30Lugar: Aula Naranja, ICMAT
Resumen:
It is well-known that the Alexander polynomial of a fibered knot must be monic, but the converse is not true in general. In this talk, we show that the universal L^2-torsion, an L^2-analogue of the Alexander polynomial, detects fibering of 3-manifolds. The key ingredients are the study of leading term map and the covering formula of the Dieudonné determinant.
