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SUMMARY:Geometry Seminar: Morse index stability for Yang-Mills connections
DTSTART:20240513T110000
DTEND:20240513T120000
DTSTAMP:20260525T190814Z
UID:fc62e0ddb6d31c953eb03c3af9c073d78c764413b489ddc9a34a2071
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mario Gauvrit (ETHZ)\nAbstract\nWe investigate Morse index st
 ability for a sequence of Yang-Mills connections on closed 4-manifolds u
 nder bubble-tree convergence. As critical points of a conformally invarian
 t energy\, Yang-Mills connections share close ties with harmonic maps in v
 arious aspects. Simultaneously\, their analysis is simpler as long as we w
 ork in an appropriate gauge\, the so-called Coulomb gauge. Motivated by ap
 plications in constructing non-stable solutions of the Yang-Mills equation
 s\, this work extends recent methods developed by Da Lio-Gianocca-Rivière
  for index stability to the Yang-Mills framework\, using sharp decay estim
 ates to prove that the neck regions account for a positive contribution 
 to the second variation.\n 
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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