CONFERENCE
Calculus of Variations and applications
Calcul des Variations et applications
12 – 16 January, 2026
Scientific Committee
Comité scientifique
Lia Bronsard (McMaster University)
Giuseppe Buttazzo (University of Pisa)
Antonin Chambolle (CNRS, CEREMADE, Université Paris-Dauphine)
Irene Fonseca (Carnegie Mellon University)
Organizing Committee
Comité d’organisation
Michael Goldman (CNRS, École polytechnique)
Flaviana Iurlano (University of Genoa)
Antoine Lemenant (Université de Lorraine)
Simon Masnou (Université Claude Bernard Lyon 1)
Benoît Merlet (Université de Lille 1)
The purpose of the conference is to bring together international experts in Calculus of Variations to discuss the most recent advances in the field, both on theoretical and more applied aspects. The main topics covered will include geometric measure theory, problems with free boundaries or free discontinuities, shape optimization, homogenization, and geometric analysis. Applications in solid mechanics, continuum mechanics, and data science will also be discussed. Through two mini-courses, the meeting will place particular emphasis on training young researchers in cutting-edge concepts in this field. This will be complemented by presentations from both senior and junior researchers, fostering new interactions among the various themes addressed throughout the conference.
Le but de la conférence est de réunir des chercheuses et chercheurs internationaux en calcul des variations pour échanger sur les avancées récentes dans le domaine, aussi bien sur des aspects théoriques que plus appliqués. Les principaux thèmes abordés seront la théorie de la mesure géométrique, les problèmes à frontière ou à discontinuité libre, l’optimisation de forme, l’homogénéisation, et l’analyse géométrique. Des applications en mécanique du solide ou des milieux continus et en science des données seront discutées. À travers deux mini-cours, la rencontre mettra un accent particulier sur la formation des jeunes chercheurs et des jeunes chercheuses aux concepts de pointe dans le domaine. Ces cours seront complétés par des exposés de chercheurs seniors et juniors, favorisant ainsi de nouvelles interactions entre les différents thèmes abordés tout au long de la conférence.
MINI COURSES (3 hours)
Adriana Garroni (University of Rome) Variational models for grain boundaries in polycrystals
Guido De Philippis (Courant, NYU) Bernoulli free boundary problem
TALKS
Jingheon An (University of Basel) Second order estimates for a free boundary phase transition
Jean-François Babadjian (Université Paris-Saclay) Curvature penalization of strongly anisotropic sharp interface models and their phase field approximation
Guy Bouchitté (Université Toulon Var) Sharp inequalities between distances in P2(Rd)
Dorin Bucur (CNRS, Université de Savoie) Neumann convex partitions and fundamental spectral gaps
Blanche Buet (Université Paris-Saclay) Flagfolds: multi-dimensional varifolds to handle discrete surfaces
Charles Dapogny (Université Grenoble-Alpes) A lagrangian shape optimization framework based on semi-discrete optimal transport
Cristiana De Filippis (Università degli studi di Parma) Nonlocal Partial Regularity
Davide Donati (SISSA Trieste) Characterization of the space GSBD
Enric Florit-Simon (ETH Zurich) Regularity for stable phase transitions
Giuliana Fusco (SSM) Variational analysis of discrete Dirichlet problems on periodically perforated domains
André Guerra (ETH Zurich) Differential Inclusions, the Monge–Ampère equation, and Morse Theory
Xavier Lamy (Université Paul Sabatier) Hyperbolic regularization effects for degenerate elliptic equations
Kexin Lin (Universite Claude Bernard Lyon 1) Decay in the JKO Scheme for the Total Variation Flow in Wasserstein Space
Lennart Machill (University of Bonn) The energy scaling behaviour for singular perturbation problems of staircase type in linearized elasticity
Roberta Marziani (Università degli studi di Siena) A non-parametric Plateau problem with partial free boundary
Mickael Nahon (Université Grenoble Alpes) Regularity of a fourth order free boundary problem
Giulio Pascale (University of Naples Federico 2) Quantitative Isoperimetric Inequalities for a Capillarity Problem
Alessandra Pluda (Università di Pisa) Monotonicity formulas for the inverse mean curvature f low and the p-Laplacian
Anna Shalova (University of Amsterdam) Nonlinear diffusion limit of non-local interactions on a sphere
Anna Skorobogatova (ETH Zurich) Non-uniqueness of locally minimizing clusters via singular cones
Dominik Stantejsky (Université de Lorraine) On minimizers of an anisotropic Ginzburg-Landau energy with tangential anchoring
Pascal Steinke (University of Bonn) Linearization of quasistatic fracture evolution in brittle materials
Matthew Thorpe (University of Warwick) Semi-Supervised Learning in Wasserstein Space
Giacomo Vianello (University of Padova) Minimality of free-boundary axial hyperplanes in n-dimensional circular cones, n ≥ 3
SPONSORS
