Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) : acg,
Responsables :O. Biquard, J. Cao, I. Itenberg, X. Ma
Email des responsables : vincent.michel@imj-prg.fr
Salle : Barre 15-25, 5ème étage, salle 02
Adresse :Campus Pierre et Marie Curie

Orateur(s) Sergey Cherkis - University of Arizona,
Titre Monopole Moduli Space Compactification and Exploding Manifolds
Horaire14:00 à 15:00
RésumeDoubly periodic monopoles or monowalls for short are related to a number of interesting problems. Their moduli spaces are
hyperkähler manifolds of ALH type, they are isometric to the moduli spaces of Calabi-Yau manifolds and to spaces of vacua of five-dimensional quantum field theories compactified on a torus. We report our results with Rebekah Cross extracting the asymptotic metric from the monowall dynamics and relating it to the volumes cut out by plane arrangements in Euclidean three-space. As we found with Richard Ward, monowall charges are encoded in a Newton polygon N, and their moduli space phase structure is encoded in its secondary fan F(N). This view leads to a natural compactification of the monowall moduli space as an exploded manifold.
SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie