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SUMMARY:Sayani Bera (Indian Association for the Cultivation of Science\, K
 olkata)
DTSTART:20230307T140000Z
DTEND:20230307T150000Z
DTSTAMP:20260422T201412Z
UID:CAvid/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/100/">
 Attracting basins of non-autonomous families</a>\nby Sayani Bera (Indian A
 ssociation for the Cultivation of Science\, Kolkata) as part of CAvid: Com
 plex Analysis video seminar\n\nLecture held in N/A.\n\nAbstract\nThe goal 
 of this talk is to explore the basins of non-autonomous or iterative famil
 ies of automorphisms of $\\mathbb{C}^m$ \, m ≥ 2\, admitting a common at
 tracting fixed point\, and their connection to the classical ‘stable man
 ifold theorem’.\nFurther\, we affirmatively answer a conjecture (formula
 ted by Fornæss and Stensønes in 2004) on non-autonomous basins\, by gene
 ralising appropriate techniques from the (iterative) dynamics of Hénon/re
 gular maps in $\\mathbb{C}^m$\,m ≥ 2. This\, also confirms a stronger ve
 rsion of the stable manifold theorem\, originally raised as a question by 
 Bedford in 2000.\nThis is a joint work with K. Verma.\n
LOCATION:https://researchseminars.org/talk/CAvid/100/
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