The event will be focused on recent developments and breakthroughs at the interfaces of harmonic analysis (HA), geometric measure theory (GMT), and partial differential equations (PDEs). The breadth of topics will attract a rich variety of accomplished and beginning mathematicians who are working in various subfields of analysis and based in different countries, at the same time ensuring mutual interest in talks and developments across various branches of analysis, creating useful learning experiences and possible new collaborations, introducing the participants to new problems and methods, and fascinating students with the richness of the field.

Topics

The conference is going to be focused on different areas of analysis and their interplay. Thus it will be broad enough to attract a wide and diverse audience of mathematicians in the field. At the same time, it is going to be specialized enough in order for representatives of various branches of analysis to be able to learn from each other, communicate, collaborate, and cross-fertilize different areas with new ideas from other areas. In particular, we expect significant presence of experts from the following fields:

• Harmonic analysis (singular integrals, weighted inequalities, noncommutative harmonic analysis, etc.).
• Geometric measure theory (rectifiability and uniform rectifiability, fractal geometry, GMT in Carnot groups, etc.).
• Partial differential equations (boundary value problems, potential theory, elliptic and parabolic PDEs, free boundary problems, fluid mechanics, etc.).

These classical areas are very active today and have witnessed important developments in recent years, and we hope that this format will enrich the field of analysis at large.

Damian Dąbrowski | Institute of Mathematics of the Polish Academy of Sciences
Albert Mas | Universitat Politècnica de Catalunya
Martí Prats | Universitat Autònoma de Barcelona
Carmelo Puliatti | Universitat Autònoma de Barcelona
Michele Villa | IKERBASQUE – Universidad del País Vasco (UPV/EHU)

The conference will take place in Olot (Girona) from Monday, July 12 until Friday, July 16, 2027. The event will start on Monday with an opening ceremony and the talks will occur immediately after that until the first half of the day of Friday July 16. Parallel sessions of short talks will be held in the afternoons of Tuesday July 13 and Thursday July 15, and the afternoon of Wednesday July 14 will be kept free of talks in order to allow some extra discussion time among the participants.

The detailed programme will be published here closer to the event.

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