This conference brings together researchers working at the interface of analysis, geometry and partial differential equations. The meeting focuses on the rich mathematical problems emerging when classical smoothness assumptions are weakened or absent: sub-Riemannian manifolds, metric measure spaces, rough domains, singular spaces, and other settings where geometry and analysis interact in subtle and often unexpected ways.

The conference also represents an opportunity to recognize Professor Luca Capogna's many contributions to analysis, PDEs, and geometric questions in sub-Riemannian and non-smooth settings, especially in quasiconformal maps, geometric flows, and PDE regularity in spaces such as the Heisenberg group. On this occasion, by gathering colleagues, collaborators, and friends, the meeting aims to highlight recent developments in analysis and PDEs on nonsmooth geometries and to foster lively exchange and interaction within the community. We hope that these discussions will stimulate new ideas and directions, contribute to tackling open problems in the field, encourage interdisciplinary applications, and further strengthen connections among researchers.

Invited Speakers: 

Mario Bonk (University of California, Los Angeles)

Giovanna Citti (University of Bologna)

Michael Cowling (University of New South Wales)

Ryan Gibara (Cape Breton University)

Riika Korte (Aalto University)

Pekka Koskela (University of Jyväskylä)

Enrico Le Donne (University of Fribourg) 

Juan Manfredi (University of Pittsburgh)

Alessandro Ottazzi (University of New South Wales)

Pietro Poggi-Corradini (Kansas State University)

Nageswari Shanmuglingam (University of Cincinnati)

Yannick Sire (Johns Hopkins University)

Jeremy Tyson (University of Illinois, Urbana-Champaign)

Xiao Zhong (Sun Yat-sen University)

Organizers:  

Qing Liu (Okinawa Institute of Science and Technology) 

Xiaodan Zhou (Okinawa Institute of Science and Technology)