(Remote) Closed 3-forms in five dimensions and SL(3,C) structures in dimension six
Geometry and analysis of special structures on manifolds November 18, 2024 - November 22, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Closed 3-forms in five dimensions and SL(3,C) structures in dimension six
The talk is based on joint work with Fabian Lehmann. The main thrust of that work was to develop a deformation theory for torsion-free SL(3,C) structures on 6-manifolds with boundary, partially extending the well-known Torelli theory in the closed case. We will outline this and a number of related constructions and questions which arise. These include a local differential geometric invariant of closed 3-forms on 5-manifolds, an obstruction space related to CR theory and a possible generalisation of the affine isoperimetric inequality.
Closed 3-forms in five dimensions and SL(3,C) structures in dimension six
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