BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Gauge theory and symplectic structures
DTSTART:20261016T091500Z
DTEND:20261016T101500Z
DTSTAMP:20261015T123300Z
UID:indico-event-17260@indico.math.cnrs.fr
DESCRIPTION:Speakers: PARTHA SARATHI GHOSH (Institut de Mathématiques de 
 Jussieu - Paris Rive Gauche)\n\nMotivated by the problem of finding obstru
 ctions to the existence of symplectic structures in dimensions higher than
  four\, I present an elliptic system of equations on almost Hermitian mani
 folds that reduces to the Seiberg-Witten equations with Taubes' perturbati
 on in dimension four. To define the equations\, one needs to choose a spin
 -c structure on the manifold. We prove that the system has index zero for 
 the canonical spin-c structure. Moreover\, on almost Kähler (symplectic) 
 manifolds\, we construct a canonical solution and prove its transversality
  with large values of the perturbation parameter\, while in dimension six 
 we obtain uniqueness of the canonical solution under a certain assumption.
  We also show that on Kähler manifolds the equations reduce\, under a nat
 ural ansatz\, to the vortex equations. These results provide evidence towa
 rd a possible higher dimensional gauge theory capable of producing invaria
 nts of almost complex structures and ultimately\, obstructions to compatib
 le symplectic forms.\n\nhttps://indico.math.cnrs.fr/event/17260/
LOCATION:112 (ICJ)
URL:https://indico.math.cnrs.fr/event/17260/
END:VEVENT
END:VCALENDAR