Shape Optimization, related topics and applications

Scientific program

Plenary speakers:

• Dorin Bucur, Université de Savoie, France
• Giuseppe Buttazzo, Università di Pisa, Italy
• Pedro Freitas, University of Lisbon, Portugal
• Helmut Harbrecht, Universität Basel, Switzerland
• Flaviana Iurlano, Sorbonne Université, France
• Antoine Lemenant, Université de Lorraine, France
• Francesco Maggi, The University of Texas at Austin, USA
• Simon Masnou, Université Claude Bernard Lyon 1, France
• Edouard Oudet, Université Grenoble Alpes, France
• Iosif Polterovich, Université de Montréal, Canada
• Aldo Pratelli, Università di Pisa, Italy
• Susanna Terracini, Università di Torino, Italy

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Schedule:

	Monday 13	Tuesday 14	Wednesday 15	Thursday 16	Friday 17
9:00	Bucur	Maggi	Oudet	Harbrecht	Polterovich
10:00	Pratelli	Terracini	Masnou	Henrot	Lemenant
11:00	Coffee break	Coffee break	Coffee break	Coffee break	Coffee break
11:30	Paoli	Saracco	Rozanova-Pierrat	Nardulli	Lunch
12:00	Ognibene	Piscitelli	Bevilacqua	Djitte
12:30	Das	König	Benatti	M. Pegon
13:00	Lunch	Lunch	Lunch	Lunch
15:00	Buttazzo	Freitas		Iurlano
16:00	Ftouhi	Bogosel		Carazzato
16:30	Coffee break	Coffee break		Coffee break
17:00	Michetti	Poster session: Afonso,Bianchi,Ghosh, Resende,Tajani, Teplitskaya, Zagati		Buet
17:30				Tortone
19:30	Dinner	Tasting beers & dinner	Dinner	Banquet

 

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Titles:

Talks

L. Benatti: Minkowski Inequality in Riemannian manifolds with nonnegative Ricci curvature

M. van den Berg: On some variational problems involving capacity, torsional rigidity, perimeter and measure

G. Bevilacqua: Critical points for elastic curves: variational and numerical approaches

B. Bogosel: Numerical shape optimization among convex sets

D. Bucur: Maximization of Neumann Eigenvalues

B. Buet: A varifold perspective on discrete surfaces

G. Buttazzo: Variations on a theme by Cheeger

D. Carazzato: A minimization problem with a concave-convex energy profile

U. Das: On the optimization of the first weighted eigenvalue

S.M. Djitte: Fractional Hadamard formula and applications

P. Freitas: The importance of being second

I. Ftouhi: About some new sharp estimates of the Cheeger constant

H. Harbrecht: Shape Optimization for Time-dependent Domains

A. Henrot: Quantitative isoperimetric inequality with the barycentric asymmetry

T. König: Brezis–Peletier revisited – Multibubble analysis near criticality in three
dimensions

F. Iurlano: Shape optimization of light structures and the vanishing mass conjecture

A. Lemenant: A shape optimisation problem with 2 distinct maximizers

F. Maggi: A mesoscale flatness criterion and its application to exterior isoperimetry

S. Masnou: Learning mean curvature flows with neural networks

M. Michetti: Optimization of Strum-Liouville eigenvalues and applications

S. Nardulli: Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds

R. Ognibene: Sharp spectral stability under perturbation of the boundary conditions

E. Oudet: TBA

G. Paoli: Sharp and quantitative estimates for the p-Torsion of convex sets

M. Pegon: An isoperimetric problem involving the competition between the perimeter and a nonlocal perimeter

G. Piscitelli: Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators

I. Polterovich: Stability of isoperimetric eigenvalue inequalities on surfaces

A. Pratelli: Minimization problems for general energies with attractive-repulsive
behaviour

A. Rozanova-Pierrat: Existence of optimal shapes in linear acoustics in the Lipschitz and non-Lipschitz classes

G. Saracco: Isoperimetric sets, sets with prescribed curvature, and p-Cheeger sets: three faces of the same coin

S. Terracini: Rotating Spirals in segregated reaction-di usion systems

G. Tortone: Liouville Theorems and Optimal regularity in elliptic equations

Posters

D.G. Afonso: Partially overdetermined problems in general containers: first steps

F. Bianchi: The fractional Makai-Hayman inequality

M. Ghosh: Monotonicity of the first Dirichlet eigenvalue of the p-Laplacian w.r. to dihedral symmetry

R. Resende: Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity

C. Tajani: Application of metaheuristic Algorithms for reconstruction of missing boundary conditions

Y. Teplitskaya: About maximal distance minimizers

A.C. Zagati: A comparison principle for Lane-Emden equation: applications to geometric estimates