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SUMMARY:Ofir Karin (Tel Aviv University)
DTSTART:20220518T111000Z
DTEND:20220518T120000Z
DTSTAMP:20260423T024548Z
UID:GDS/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/58/">App
 roximation of Generating Function Barcode for Hamiltonian Diffeomorphisms<
 /a>\nby Ofir Karin (Tel Aviv University) as part of Geometry and Dynamics 
 seminar\n\n\nAbstract\nPersistence modules and barcodes are used in symple
 ctic topology to define \nnew invariants of Hamiltonian diffeomorphisms\, 
 however methods that explicitly \ncalculate these barcodes are often uncle
 ar. In this talk I will explain the \nnecessary background and define one 
 such invariant called the GF-barcode of \ncompactly supported Hamiltonian 
 diffeomorphisms of $ \\mathbb{R}^{2n} $ by \napplying Morse theory to gene
 rating functions quadratic at infinity associated \nto such Hamiltonian di
 ffeomorphisms and provide an algorithm (i.e a finite \nsequence of explici
 t calculation steps) that approximates it along with a \nfew computation e
 xamples. Joint work with Pazit Haim-Kislev.\n
LOCATION:https://researchseminars.org/talk/GDS/58/
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