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SUMMARY:Hannes Kern (TU Berlin)
DTSTART:20240301T140000Z
DTEND:20240301T150000Z
DTSTAMP:20260423T021708Z
UID:ACPMS/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/35/">R
 ough Flow techniques on manifolds</a>\nby Hannes Kern (TU Berlin) as part 
 of Algebraic and Combinatorial Perspectives in the Mathematical Sciences\n
 \n\nAbstract\nIn 2020\, Armstrong et al managed to explicitly write down D
 avie’s formula of the solution of a non-geometric RDE on a manifold for 
 the level N = 2. In this talk\, we introduce a new notion\, called pseudo 
 bialgebra map\, which allows us to construct similar expansions for higher
  level rough pahs living in general Hopf algebras. To do this\, we prove a
  local version of Bailleul’s sewing lemma for flows. Finally\, we go ove
 r previous results and show that they do give rise to pseudo bialgebra map
 s. Based on joint work with Terry Lyons.\n
LOCATION:https://researchseminars.org/talk/ACPMS/35/
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