06.11.2024, 14:00 - 16:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Graphon Models for Inhomogeneous Random Graphs
Olga Klopp (Paris), Nicolas Verzelen (Montpellier)
Rosa Preiss (TU Berlin)
This talk is based on a joint paper with Yvain Bruned, Ilya Chevyrev and Peter Friz. There, 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.
In this talk however, I will focus on the context of branched rough paths and branched rough differential equations. If time permits, I will conclude with a short outlook to the link with renormalization in regularity structures.