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UID:6009@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220616T140000
DTEND;TZID=Europe/Paris:20220616T150000
DTSTAMP:20241120T200717Z
URL:https://www.i2m.univ-amu.fr/evenements/symplectic-monodromy-at-radius-
 0-and-equimultiplicity-of-families-of-hypersurfaces-with-constant-milnor-n
 umber/
SUMMARY:Javier Fernandez de Bobadilla  (Basque Center for Applied Mathemati
 cs): Symplectic Monodromy at radius 0 and equimultiplicity of families of 
 hypersurfaces with constant Milnor number
DESCRIPTION:Javier Fernandez de Bobadilla : Abstract: (joint work with T. P
 elka) We prove the Zariski multiplicity conjecture for families of isolat
 ed hypersurface singularities. For it we show how to construct a symplecti
 c monodromy "at radius 0" with very special dynamical properties\,  which
  is symplectically isotopic by radius variation to the usual symplectic mo
 nodromy at positive small radius . For this we use a hybrid construction e
 mploying log-geometry (Kato-Nakayama spaces) and tropical geometry. In par
 ticular our construction provides an smooth atlas in the topological space
  used by A'Campo for his study of monodromy zeta function and Lefschetz nu
 mbers\, and provides an alternate construction of special symplectic monod
 romy representatives due to McLean which is better suited for the study of
  families and degenerations. Then we use a slight generalization of a spec
 tral sequence in Floer Homology (due to McLean) to recover multiplicity\, 
 and properties of invariance of Floer homology along symplectic isotopies 
 to prove its constancy in Milnor number constant families.\n\nZoom connect
 ion details / coordonnées de la réunion Zoom :\n\nSujet : Séminaire de
  Géométrie de Marseille\n\nHeure : 16 juin 2022 01:45 PM Paris\n\nhttps
 ://univ-amu-fr.zoom.us/j/83088710342?pwd=ZUpwWTVvNW1vN0FJQ0dSQ3BpQ0FLZz09\
 n\nID de réunion : 830 8871 0342\n\nCode secret :  voir l'annonce par 
 mail\n\n&nbsp\;
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
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