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.
Inormation pack including schedule, getting around, etc.
Summer School Speakers:
- Daniel Grieser (Oldenburg), Introduction to analysis on manifolds with corners
- Pierre Albin (UIUC), L2 cohomology, stratified spaces and related topics
- Richard Melrose (MIT), Analysis on planar Hilbert schemes
- Andy Royston (Texas A&M), Supersymmetric gauge theory, monopole moduli space, and ‘no exotics’ as a generalized Sen conjecture
Confirmed Participants:
- Pierre Albin
- Dean Baskin
- Francesco Bei
- Harry Braden
- Santiago Cabrera
- Sergey Cherkis
- Anda Degeratu
- Andrew Dancer
- Laura Fredrickson
- Lorenzo Foscolo
- Jesse Gell-Redman
- Daniel Grieser
- Derek Harland
- Eugenie Hunsicker
- Lukas Mueller
- Nicholas Manton
- Stephen McKeown
- Richard Melrose
- Akos Nagy
- Goncalo Oliveira
- Frederic Rochon
- Nuno Romao
- Callum Ross
- Andy Royston
- Raul Sanchez-Galan
- Bernd Schroers
- Jan Swoboda
- Xuwen Zhu
Organisers:
Karsten Fritzsch, Chris Kottke, Michael Singer
