Dates: Wednesday, April 29, 2026 - July 08, 2026
Organizers Hausdorff Colloquium: Barbara Verfürth, Herbert Koch and Johannes Alt
Organizers HSM Colloquium: Magdalena Balcerak Jackson, Jilly Kevo, Tingxiang Zou
Venue: Lipschitzsaal, Mathezentrum, Endenicher Allee 60, 53115 Bonn
Date
Hausdorff Tea
Hausdorff Colloquium
HSM Colloquium
29.04.2026
15:00
06.05.2026
15:00
Special Event: International Women in Mathematics Day
03.06.2026
15:00
15:15
Justin Salez (Université Paris Dauphine)
"TBA"
17.06.2026
15:00
15:15
TBA
01.07.2026
15:00
15:15
Anna Wienhard (MPI-MIS Leipzig)
"TBA"
08.07.2026
15:00
15:15
TBA
Cristiana De Filippis (University of Parma): "Surfing Regularity on Nonlinear Potentials"
The representation formula for the Poisson equation gives an explicit expression of solutions in terms of the data, yielding zero- and first-order pointwise bounds via convolution with appropriate Riesz potentials. The mapping properties of these potentials provide sharp regularity transfer from data to solutions, giving a complete description of the regularity features of solutions. I will outline key aspects of nonlinear potential theory that reproduce this behavior for nonlinear elliptic PDEs, where representation formulae are unavailable, and trace their regularity theory back to that of the Poisson equation up to the C^{1} level. I will then present a novel potential-theoretic approach, altering a century old paradigm in nonlinear regularity theory, that resolves the longstanding problem of the validity of Schauder theory in nonuniformly elliptic PDEs.