Seminário de Teoria Quântica do Campo Topológica   RSS

24/05/2017, 14:15 — 15:15 — Sala P3.10, Pavilhão de MatemáticaInstituto Superior Técnico
Paul Wedrich, Imperial College, London

On colored link homologies

Link homology theories are powerful generalizations of classical (and quantum) link polynomials, which are being studied from a variety of mathematical and physical viewpoints. Besides providing stronger invariants, these theories are often functorial under link cobordisms and carry additional topological information. The focus of this talk is on the Khovanov-Rozansky homologies, which categorify the Chern-Simons/Reshetikhin-Turaev $\mathfrak{sl}(N)$ link invariants and their large $N$ limits. I will survey recent results about their behaviour under deformations as well as their stability at large $N$, which together lead to a rigorous proof of a package of conjectures originating in string theory.

Organizador corrente: Roger Picken

Organizado no âmbito do Projecto de Geometria e Física-Matemática.