Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, E. Di Nezza, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, eleonora.dinezza, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu

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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.