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SUMMARY:Homological Lagrangian Monodromy - Noah Porcelli\, University of C
 ambridge
DTSTART:20211203T160000Z
DTEND:20211203T170000Z
UID:TALK165796@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:Questions in symplectic topology are concerned with the topolo
 gy of Lagrangian submanifolds and the effects of Hamiltonian diffeomorphis
 ms on them. The Lagrangian monodromy question asks: what self-diffeomorphi
 sms of a Lagrangian L in (X\, \\omega) can arise as the restriction of a H
 amiltonian \\psi of X which fixes L setwise? \nUnder some conditions on L\
 , Hu\, Lalonde and Leclercq proved that \\psi acts as the identity on the 
 homology of L. We will sketch a different proof of this and discuss some g
 eneralisations. The proof will use moduli spaces of holomorphic curves wit
 h specified boundary conditions.\n
LOCATION:MR13
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