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SUMMARY:Antoine Lejay (Nancy)
DTSTART:20210617T111500Z
DTEND:20210617T120000Z
DTSTAMP:20260423T041111Z
UID:YRbGSA/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YRbGSA/9/">C
 onstruction of Flows through the Non-Linear Sewing Lemma II</a>\nby Antoin
 e Lejay (Nancy) as part of Young Researchers between Geometry and Stochast
 ic Analysis 2021\n\n\nAbstract\nThe theory of rough paths is now a vivid f
 ield of research at the intersection of many domains such as analysis (sto
 chastic and classical)\, algebra\, geometry\, data science and so on. Its 
 first objective was to construct integrals and differential equations driv
 en by irregular signal\, before expanding in many directions.\n\nThe vario
 us interpretations of this theory all rely on variants of the so-called se
 wing lemma. In this talk\, we consider how to construct directly flows fro
 m numerical schemes using a "non-linear sewing lemma”\, and present some
  of the main properties that can be reached. We put them in parallel with 
 some results in the theory of ordinary differential equations and show how
  they are expanded.\n\nA second part will be devoted to the relationship b
 etween such flows and other objects already existing in the theory of roug
 h paths.\n\nFrom a joint work with A. Brault.\n
LOCATION:https://researchseminars.org/talk/YRbGSA/9/
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