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SUMMARY:Quid of Cyclicity in Spaces of Holomorphic Functions of Several Va
 riables
DTSTART:20261014T160000Z
DTEND:20261014T173000Z
DTSTAMP:20261016T114800Z
UID:indico-event-17532@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pouriya Torkinejad Ziarati (Institute de Mathematiqu
 es de Toulouse)\n\nConsider a Hilbert space of holomorphic functions on a 
 domain in (\\mathbb{C}^n). A function in this space is called cyclic if th
 e linear span of its polynomial multiples is dense in the space. Determini
 ng whether a function is cyclic depends heavily on the space under conside
 ration. An important factor is the zero set of the function. In particular
 \, while zeros inside the domain typically prevent cyclicity\, the role of
  boundary zeros is more subtle.In this talk\, we first introduce the notio
 n of cyclicity through classical Hardy and Dirichlet spaces of the unit di
 sk. We then turn to Dirichlet-type spaces on the unit ball and the bidisk.
  Our main goal is to discuss how the geometry and dimension of the boundar
 y zero sets affect cyclicity. To this end\, we present some recent results
  and examples illustrating the connection between cyclicity and the geomet
 ry of zero sets.\n\nhttps://indico.math.cnrs.fr/event/17532/
LOCATION:1R2 207 (Salle Pellos)
URL:https://indico.math.cnrs.fr/event/17532/
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