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DTSTART:20230312T070000
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DTSTART;TZID=America/Toronto:20240307T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-topology-seminar-
 151
SUMMARY:Geometry & Topology Seminar
CLASS:PUBLIC
DESCRIPTION:ANDY ROYSTON\, PENN STATE UNIVERSITY\n\n\"SOLITONS AND THE EXTE
 NDED BOGOMOLNY EQUATIONS WITH JUMPING DATA\"\n\nThe extended Bogomolny equ
 ations are a system of PDE's for a\nconnection and a triplet of Higgs fiel
 ds on a three-dimensional space.\nThey are a hybrid of the Bogomolny equat
 ions and the Nahm equations.\nAfter reviewing how these latter systems ari
 se in the study of\nmagnetic monopoles\, I will present an energy function
 al for which\nsolutions of the extended Bogomolny equations are minimizers
  in a\nfixed topological class. In this construction\, the connection and\
 nHiggs triplet are defined on all of R^3 and couple to additional\ndynamic
 al fields localized on a two-plane that are analogous to\njumping data in 
 the Nahm equations. Solutions can therefore be\ninterpreted as finite-ener
 gy BPS solitons in a three-dimensional\ntheory with a planar defect. This 
 talk is based on work done in\ncollaboration with Sophia Domokos.\n\nMC 54
 17
DTSTAMP:20260506T034014Z
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