London Summer School and Workshop: The Sen Conjecture and Beyond

When:

19 June 2017 — 23 June 2017, University College London

Information and Goal of the Workshop:  

The Sen Conjecture, made in 1994 based on supersymmetric physics, is a statement about L2 harmonic forms on the monopole moduli spaces Mk. The Vafa-Witten Conjecture is a parallel conjecture for the Hilbert schemes Hk of k points in C2, 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.

Provisional schedule:

Timetable.pdf

Summer School Speakers:

(Titles to be confirmed)

Confirmed Participants:

Funding:

Some funding is available to cover subsistence and (if funds permit) travel. Interested early career researchers are particularly encouraged to apply.

Organisers: 

Karsten Fritzsch, Chris Kottke, Michael Singer

Sponsored by EPSRC