London Summer School and Workshop : The Sen Conjecture and Beyond

Monday, June 19, 2017 (All day) to Friday, June 23, 2017 (All day)

The Sen Conjecture, made in 1994 based on supersymmetric physics, is a statement about $L^2$ harmonic forms on the monopole moduli spaces $M_k$. The Vafa-Witten Conjecture is a parallel conjecture for the Hilbert schemes $H_k$ of $k$ points in $\mathbb{C}^2$, and there are similar questions and answers about the asymptotic behaviour of the moduli space of Higgs bundles. Meanwhile, the study of monopoles has received fresh attention from the physics community: here singular monopoles have an increasingly important role to play and have led to exciting new conjectures going well beyond the classical work of Sen.

As novel analytical techniques have been recently developed to address these and related problems, the purpose of the Summer School and Workshop is to introduce and disseminate these methods, while also surveying the recent developments on the geometry and physics of singular monopoles.

Organisers: Michael Singer (UCL), Chris Kottke (New College of Florida), Karsten Fritzsch (UCL)

University College London
Gower Street 25
Dept. of Mathematics
United Kingdom