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PRODID:-//Memento EPFL//
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SUMMARY:Homological Stability for Asymptotic Monopole Moduli Spaces
DTSTART:20220531T101500
DTEND:20220531T111500
DTSTAMP:20260919T215413Z
UID:a2b8bbe6c63533276e4559be95be28c42486d84894ffc4bb895ef09f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martin Palmer\, Institutul de Matematică Simion Stoilow al Ac
 ademiei Române\nMagnetic monopoles were introduced by Dirac in 1931 to ex
 plain the quantisation of electric charges. In his model\, they are singul
 ar solutions to an extension of Maxwell's equations allowing non-zero magn
 etic charges. An alternative model\, developed by 't Hooft and Polyakov in
  the 1970s\, is given (after a certain simplification) by smooth solutions
  to a different set of equations\, the Bogomolny equations\, whose moduli 
 space of solutions has connected components M_k indexed by positive intege
 rs k. These have been intensively studied\, notably by Segal (stabilisatio
 n of their homotopy groups) and Cohen-Cohen-Mann-Milgram (describing their
  stable homotopy types in terms of braid groups).\n\nA compactification of
  M_k has recently been proposed by Fritzsch-Kottke-Singer\, whose boundary
  strata we call asymptotic monopole moduli spaces. I will describe ongoing
  joint work with Ulrike Tillmann in which we study stability patterns in t
 he homology of these spaces.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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