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SUMMARY:Guangbo Xu (Texas A&M University)
DTSTART:20201007T200000Z
DTEND:20201007T210000Z
DTSTAMP:20260414T173658Z
UID:BUGeom/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/5/">C
 ompactness of instantons and the Atiyah-Floer conjecture</a>\nby Guangbo X
 u (Texas A&M University) as part of Boston University Geometry/Physics Sem
 inar\n\n\nAbstract\nThe Atiyah-Floer conjecture says that the instanton Fl
 oer homology of a three-manifold (constructed via gauge theory) agrees wit
 h a Lagrangian Floer homology (constructed via symplectic geometry) associ
 ated to a splitting of the manifold. Atiyah's heuristic argument of this c
 onjecture relies on a compactness result for instantons in a certain adiab
 atic limit. I will present a proof of such a compact theorem for the case 
 when the gauge group is SO(3)\, as well as another compactness theorem rel
 ated to bounding chains on the symplectic side.\n
LOCATION:https://researchseminars.org/talk/BUGeom/5/
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