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1
RESEARCH IN RESIDENCE — Keller-Segel and Chemotaxis Models in Lipschitz-Domains
05 May 2025 - 09 May 2025 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Event listing ID:
1634041
2
RESEARCH IN RESIDENCE — Explicit local solubility and applications
09 May 2025 - 20 May 2025 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Abstract:
The question of whether or not a collection of equations has a solution in the integers is notoriously challenging, with the answer depending heavily on the geometry of the constituent equations. An important reduction is localization – looking at the equations modulo a prime or over the real numbers. Having solutions locally is a key necessary condition for the equations to have an integral solution and much more tractable to determine explicitly. The proposed research involves determining explicit and exact expressions for how often certain families of equations have local solutions, which can sometimes yield explicit results for how often an equation has an integral solution. In particular, we propose an approach to determine how often a degree 3 polynomial in n+1 variables has an integral zero, by reducing to the local probabilities (via recent work of Browning, Le Boudec, and Sawin) and determining them by a careful recursive argument.
Event listing ID:
1634134
3
ACOTCA 2025 — Advanced Course in Operator Theory and Complex Analysis
16 Jun 2025 - 20 Jun 2025 • Clermont-Ferrand, France
Abstract:
We are pleased to announce that the XIX edition of ACOTCA will take place at Université Clermont Auvergne in Clermont-Ferrand (France) from 16-20 June 2025. The meeting will consist of four advanced courses, six invited plenary lectures and a number of contributed talks.
Event listing ID:
1656562
4
RESEARCH IN RESIDENCE — Elliptic and parabolic equations originating from real world problems
29 Sep 2025 - 10 Oct 2025 • CIRM (Marseille Luminy), France
Organizer:
CIRM – Centre International de Rencontres Mathématiques
Abstract:
The abstract foundation of the book concerning functional analysis, special issues on Sobolev type function scales, and elliptic and parabolic regularity in case of non-smooth data, is already solid. However, the culminating last part of the book is still under discussion and editing. There, it is intended, using the theory established before, to give a condensed and unified treatment of wellposedness for several real-world problems, namely the thermistor problem, the Keller-Segel chemotaxis model, and the macroscopic semiconductor equations (Van Roosbroeck system) in case of Avalanche generation, all for the case of non-smooth spatial domains. These problems were open for decades and solved only recently by the authors and collaborators in journal articles.
Event listing ID:
1634197


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Last updated: 22 February 2025