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SUMMARY:Matei Toma (Univ. of Nancy)
DTSTART:20201211T160000Z
DTEND:20201211T171500Z
DTSTAMP:20260423T005709Z
UID:CIRGET/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/26/">
 Boundedness for sets of coherent analytic sheaves</a>\nby Matei Toma (Univ
 . of Nancy) as part of CRM - Séminaire du CIRGET / Géométrie et Topolog
 ie\n\n\nAbstract\nA boundedness notion for sets of isomorphism classes of 
 coherent algebraic sheaves as well as a boundedness criterion were introdu
 ced by Grothendieck in his 1961 paper on the construction of the Hilbert s
 cheme. In this talk we define boundedness for coherent analytic sheaves an
 d present a boundedness criterion in a complex geometric context. We then 
 show how these apply to prove properties related to Douady spaces or to se
 mistability of coherent sheaves\, such as the existence of relative Harder
 -Narasimhan filtrations.\n
LOCATION:https://researchseminars.org/talk/CIRGET/26/
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