15.05.2024, 14:00 - 16 00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Colloquium with Karen Strung (Prag) and Sven Raum (Potsdam)
Karen Strung (Prag), Sven Raum (Potsdam)
Peter Friz (TU Berlin)
We revisit (higher-order) translation operators on rough paths, in both the geometric
and branched setting. As in Hairer's work on the renormalization of
singular SPDEs we propose a purely algebraic view on the matter. Recent
advances in the theory of regularity structures, especially the Hopf
algebraic interplay of positive and negative renormalization of
Bruned--Hairer--Zambotti (2016), are seen to have precise counterparts in
the rough path context, even with a similar formalism (short of polynomial
decorations and colourings). Renormalization is then seen to correspond
precisely to (higher-order) rough path translation.
(Joint works with Yvain Bruned, Ilya Chevyrev and Rosa Preiss).