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08:00 09:00 10:00 11:00 12:00 13:00 14:00 15:00 16:00 17:00 18:00 19:00 20:00 21:00	Welcome! -Morning Session - The Fractional Yamabe Problem - María del Mar González Geometric Aspects of Phase Separation - Susanna Terracini Coffee break Geometric Aspects of Phase Separation - Susanna Terracini 9:15 - 9:30 (15min) Welcome! Organisers 9:25 - 13:00 (3h35) -Morning Session - Chairman: Luz Roncal 9:30 - 10:30 (1h) The Fractional Yamabe Problem - María del Mar González 10:30 - 11:30 (1h) Geometric Aspects of Phase Separation - Susanna Terracini 11:30 - 12:00 (30min) Coffee break 12:00 - 13:00 (1h) Geometric Aspects of Phase Separation - Susanna Terracini Lunch - Afternoon Session - On unbounded solutions of ergodic problems for non-local Hamilton-Jacobi equations A nondegenerate solution for the Yamabe problem with maximal rank Growing sandpiles on networks A Lipschitz metric for the Hunter-Saxton equation 13:00 - 15:00 (2h) Lunch 14:55 - 17:00 (2h05) - Afternoon Session - Chairman: Félix del Teso 15:00 - 15:30 (30min) On unbounded solutions of ergodic problems for non-local Hamilton-Jacobi equations Cristina Brändle 15:30 - 16:00 (30min) A nondegenerate solution for the Yamabe problem with maximal rank Maria Medina 16:00 - 16:30 (30min) Growing sandpiles on networks Lucilla Corrias 16:30 - 17:00 (30min) A Lipschitz metric for the Hunter-Saxton equation Katrin Grunert	-Morning Session - The Fractional Yamabe Problem - María del Mar González Geometric Aspects of Phase Separation - Susanna Terracini Coffee break Geometric Aspects of Phase Separation - Susanna Terracini 9:25 - 13:00 (3h35) -Morning Session - Chairman: Veronica Felli 9:30 - 10:30 (1h) The Fractional Yamabe Problem - María del Mar González 10:30 - 11:30 (1h) Geometric Aspects of Phase Separation - Susanna Terracini 11:30 - 12:00 (30min) Coffee break 12:00 - 13:00 (1h) Geometric Aspects of Phase Separation - Susanna Terracini Lunch - Afternoon Session - Decay estimates in evolution equations with fractional derivatives Perturbed eigenvalue problems Improved Adams-type inequalities and their extremals in dimension 2m On fractional Poincaré inequalities On the asymptotic behaviour of nonlocal perimeters Sharp Convergence Rate of Eigenvalues in a Domain with a Shrinking Tube 13:00 - 15:00 (2h) Lunch 14:55 - 17:00 (2h05) - Afternoon Session - Chairman: Eleonora Cinti 15:00 - 15:20 (20min) Decay estimates in evolution equations with fractional derivatives Elisa Affili 15:20 - 15:40 (20min) Perturbed eigenvalue problems Denisa Stancu-Dumitru 15:40 - 16:00 (20min) Improved Adams-type inequalities and their extremals in dimension 2m Azahara de la Torre 16:00 - 16:20 (20min) On fractional Poincaré inequalities Javier Martinez 16:20 - 16:40 (20min) On the asymptotic behaviour of nonlocal perimeters Judith Berendsen 16:40 - 17:00 (20min) Sharp Convergence Rate of Eigenvalues in a Domain with a Shrinking Tube Roberto Ognibene Poster and Questions Session 17:00 - 18:00 (1h) Poster and Questions Session	-Morning Session - Geometric Aspects of Phase Separation - Susanna Terracini The Fractional Yamabe Problem - María del Mar González Coffee Break Singularity formation in critical parabolic equations 8:55 - 13:00 (4h05) -Morning Session - Chairman:Sundaram Thangavelu 9:00 - 10:00 (1h) Geometric Aspects of Phase Separation - Susanna Terracini 10:30 - 11:30 (1h) The Fractional Yamabe Problem - María del Mar González 11:30 - 12:00 (30min) Coffee Break 12:00 - 13:00 (1h) Singularity formation in critical parabolic equations Monica Musso Lunch 13:00 - 15:00 (2h) Lunch	-Morning Session - The Fractional Yamabe Problem - María del Mar González Qualitative properties of solutions to some nonlocal problems in nonbounded domains Coffee Break Unique continuation and classification of blow-up profiles for fractional elliptic equations 9:25 - 13:00 (3h35) -Morning Session - Chairman: Mariana Smit Vega Garcia 9:30 - 10:30 (1h) The Fractional Yamabe Problem - María del Mar González 10:30 - 11:30 (1h) Qualitative properties of solutions to some nonlocal problems in nonbounded domains Begoña Barrios 11:30 - 12:00 (30min) Coffee Break 12:00 - 13:00 (1h) Unique continuation and classification of blow-up profiles for fractional elliptic equations Veronica Felli Lunch - Afternoon Session - A framework for non-local, non-linear diffusion On the nodal set of solutions to a nonlocal Heat Equation The Schrödinger equation on star-graphs under general coupling conditions The Talbot effect and Riemann's non-differentiable functions Quantitative a Priori Estimates for Fast Diffusion Equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity Asymptotic behavior of neuron population models structured by elapsed time 13:00 - 15:00 (2h) Lunch 14:55 - 17:00 (2h05) - Afternoon Session - Chairman: Begoña Barrios 15:00 - 15:20 (20min) A framework for non-local, non-linear diffusion Milosz Krupski 15:20 - 15:40 (20min) On the nodal set of solutions to a nonlocal Heat Equation Alessandro Audrito 15:40 - 16:00 (20min) The Schrödinger equation on star-graphs under general coupling conditions Andrea Grecu 16:00 - 16:20 (20min) The Talbot effect and Riemann's non-differentiable functions Daniel Eceizabarrena 16:20 - 16:40 (20min) Quantitative a Priori Estimates for Fast Diffusion Equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity Nikita Simonov 16:40 - 17:00 (20min) Asymptotic behavior of neuron population models structured by elapsed time Havva Yoldas Social Dinner 19:00 - 21:00 (2h) Social Dinner	-Morning Session - Recent developments in the thin obstacle problem The Fractional Yamabe Problem - María del Mar González Coffee Break An extension problem and Hardy type inequalities for fractional powers of the Grushin operator 9:25 - 13:00 (3h35) -Morning Session - Chairman: Luz Roncal 9:30 - 10:30 (1h) Recent developments in the thin obstacle problem Mariana Smit Vega Garcia 10:30 - 11:30 (1h) The Fractional Yamabe Problem - María del Mar González 11:30 - 12:00 (30min) Coffee Break 12:00 - 13:00 (1h) An extension problem and Hardy type inequalities for fractional powers of the Grushin operator Sundaram Thangavelu Lunch - Afternoon Session - On nonlocal (and local) equations of porous medium type Some recent results in the study of fractional mean curvature flow 13:00 - 15:00 (2h) Lunch 14:55 - 16:00 (1h05) - Afternoon Session - Chairman: Diana Stan 15:00 - 15:30 (30min) On nonlocal (and local) equations of porous medium type Jorgen Endal 15:30 - 16:00 (30min) Some recent results in the study of fractional mean curvature flow Eleonora Cinti Closing 16:00 - 16:15 (15min) Closing Organisers

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