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SUMMARY:Sylvain Courte
DTSTART:20210119T150000Z
DTEND:20210119T160000Z
DTSTAMP:20260423T052839Z
UID:Freemath/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/35/
 ">Twisted generating functions and the nearby Lagrangian conjecture</a>\nb
 y Sylvain Courte as part of Free Mathematics Seminar\n\n\nAbstract\nI will
  explain the notion of twisted generating function and show that a closed 
 exact Lagrangian submanifold L in the cotangent bundle of M admits such a 
 thing. The type of function arising in our construction is related to Wald
 hausen's tube space from his manifold approach to algebraic K-theory of sp
 aces. Using the rational equivalence of this space with BO\, as proved by 
 Bökstedt\, we conclude that the stable Lagrangian Gauss map of L vanishes
  on all homotopy groups. In particular when M is a homotopy sphere\, we ob
 tain the triviality of the stable Lagrangian Gauss map and a genuine gener
 ating function for L. This is a joint work with M. Abouzaid\, S. Guillermo
 u and T. Kragh.\n
LOCATION:https://researchseminars.org/talk/Freemath/35/
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