This LysmConference lies in the field of Partial Differential Equations and Calculus of Variations. It concerns the analysis of topological patterns that represent important concepts in many areas of physics, such as elasticity, solid and liquid crystals, superconductivity and ferromagnetism. The associated models often have a variational formulation and create various microstructures and types of defects (points, lines, interfaces...) due to topological constraints. The study of these topological singularities raises many fundamental mathematical questions (regularity, uniqueness, symmetry, stability, renormalized energy) and leads to difficult analytical problems that go beyond the classical framework of functional analysis. This topic has a double impact: on the one hand, shedding light on physical phenomena, on the other hand, advancing the mathematical understanding of complex multi-scale systems. This workshop will bring together specialists working mainly in France and Italy that will present the most recent mathematical developments in the area of singular phenomena.
Speakers
Valeria Banica (Paris)
Giacomo Canevari (Verona)
Gilles Carbou (Pau)
Michele Correggi (Milano)
Clementine Courtes (Strasbourg)
Vito Crismale (Rome)
Bin Deng (Toulouse)
Lucia De Luca (Rome)
Giovanni DiFratta (Naples)
Federico Dipasquale (Naples)
Adriana Garroni (Rome)
Xavier Lamy (Toulouse)
Roger Moser (Bath)
Luc Nguyen (Oxford)
Simona Rota-Nodari (Nice)
Michele Ruggeri (Bologna)
David Sanchez (Toulouse)
Didier Smets (Paris)
Emanuele Spadaro (Rome)
Bianca Stroffolini (Naples)
Arghir Zarnescu (Bilbao&Bucharest)
Organizer
Radu Ignat (LYSM & Toulouse)
IMPORTANT: The registration is free, but compulsory, considering the limited number of seats in the conference room.
Sponsors
CNRS LYSM
Istituto Nazionale di Alta Matematica (INdAM)
Institut de Mathématiques de Toulouse
COST Action Polytopo - CA23134
