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UID:20251104T220053EST-4232XULWiw@132.216.98.100
DTSTAMP:20251105T030053Z
DESCRIPTION:Title: Bi-Lagrangian structures and Teichmüller theory.\n\nAbst
 ract: A Bi-Lagrangian structure in a manifold is the data of a symplectic 
 form and a pair of transverse Lagrangian foliations. Equivalently\, it can
  be defined as a para-Kähler structure\, i.e. the para-complex equivalent 
 of a Kähler structure. After discussing interesting features of bi-Lagrang
 ian structures in the real and complex settings\, I will show that the com
 plexification of any Kähler manifold has a natural complex bi-Lagrangian s
 tructure. I will then specialize this discussion to moduli spaces of geome
 tric structures on surfaces\, which typically have a rich symplectic geome
 try. We will see that that some of the recognized geometric features of th
 ese moduli spaces are formal consequences of the general theory while reve
 aling new other features\, and derive a few well-known results of Teichmül
 ler theory. Time permits\, I will present the construction of an almost hy
 per-Kähler structure in the complexification of any Kähler manifold. This 
 is joint work with Andy Sanders.\n\n \n
DTSTART:20180420T190000Z
DTEND:20180420T200000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Brice Loustau (Rutgers University - Newark)
URL:/mathstat/channels/event/brice-loustau-rutgers-uni
 versity-newark-286645
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