Shape optimization problems and spectral theory May 28 - June 1, Program
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1 Shape optimization problems and spectral theory May 28 - June 1, Program Monday, May 28 8:30-9:10 Pedro Freitas (Lisboa): Optimization of higher eigenvalues of the Laplace operator 9:15-9:55 Bruno Colbois (Neuchatel): Upper bound for the spectrum of the Laplacian : a metric approach 10:30-11:10 Rick Laugesen (Urbana-Champaign): Sharp isoperimetric bounds on spectral functionals of starlike domains 11:15-11:55 Aldo Pratelli (Pavia): A general existence result for minimizers of spectral problems 12:00-12:20 Francesco Chiacchio (Napoli): Isoperimetric estimates for the first Neumann eigenvalue of the Hermite operator 16:00-16:40 Dan Tiba (Bucarest): Finite Element Discretization in Shape Optimization Problems 16:45-17:05 Gisella Croce (Le Havre): An isoperimetric inequality for a nonlinear eigenvalue problem 17:10 Coffee break 17:30-17:50 Juan Pablo Agnelli (Cordoba): Shape optimization for tumor location 18:00 Open Problems Session 1
2 Tuesday, May 29 8:30-9:10 José Arrieta (Madrid): Thin domains with oscillatory boundaries 9:15-9:55 Susanna Terracini (Milano): Entire solutions for competitiondiffusion systems and optimal partitions 10:30-11:10 Jan Sokolowski (Nancy): Topological derivatives in shape optimization 11:15-11:55 Alfred Wagner (Aachen): The Second Domain Variation for some Optimal Shape Problems 12:00-12:20 Alexandre Girouard (Neuchatel): Local and global stability of the Dirichlet spectrum 16:00-16:40 Andrea Colesanti (Firenze): Hadamard s variational formulas for some functionals defined in the class of convex bodies 16:45-17:25 Ilaria Fragala (Milano): On geometric inequalities for logconcave functions 17:30 Coffee break 18:00-18:20 Jimmy Lamboley (Paris Dauphine): Shape optimization under convexity constraint 18:25-18:45 Bozidar Velichkov (Pisa): Shape optimization problems with internal constraint 18:50-19:10 Antoine Lemenant (Paris 7): Convex minimizers of the average distance 2
3 Wednesday, May 30 8:30-9:10 Bernard Helffer (Paris Orsay): Magnetic characterization of minimal partitions 9:15-9:55 Thomas Hoffmann-Ostenhof (Vienna): Spectral minimal partitions: Some recent explicit results for the cylinder, the torus, etc 10:30-11:10 Guy Bouchitté (Toulon): A free boundary problem arising in optimal design of thin torsion rods 11:15-11:55 Yves Colin de Verdière (Grenoble): The magnetic Morse index formula of Gregory Berkolaiko 12:00-12:20 Farid Bozorgnia (Lisboa): Optimal partitions for first eigenvalues of Laplace operator Free afternoon 3
4 Thursday, May 31 8:30-9:10 Nicola Fusco (Napoli): On the stability of Almgren s isoperimetric inequality 9:15-9:55 Nikolai Nadirashvili (Marseille): The quantitative isoperimetric inequality: new results and extensions 10:30-11:10 Friedemann Brock (Beyruth): Weighted isoperimetric in cones inequalities and applications 11:15-11:55 Juan Casado-Dias (Sevilla): The behavior of a thin flow satisfyin the slip condition on a rough wall 12:00-12:20 Pier-Alberto Sicbaldi (Marseille): Geometry and topology of some overdetermined elliptic problems 16:00-16:40 David Krejcirik (Praha): The Cheeger constant of curved strips 16:45-17:25 Paolo Salani (Firenze): An overdetermined problem with non constant boundary condition 17:30 Coffee break 18:00-18:20 Mette Iversen (Bristol): Minimising convex combinations of the first three eigenvalues 18:25-18:45 Marc Dambrine (Pau): A Faber-Krahn type inequality for the second eigenvalue of the Ventcel-Steklov operator 4
5 Friday, June, 1 8:30-9:10 Rafael Benguria (Santiago): A New Estimate on the Two- Dimensional Indirect Coulomb Energy 9:15-9:55 Evans Harrell (Atlanta): Some semiclassically sharp inequalities for spectra of Schrdinger operators on surfaces and hypersurfaces 10:30-11:10 Julie Clutterbuck (Canberra): Optimal lower bound on the spectral gap 11:15-11:55 Michiel van den Berg (Bristol): Heat equation and torsion function 12:00-12:20 Yannick Privat (Rennes): Optimal design problems for conservative equations End of the Conference 5
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