# Slides

Refraction Trajectories in Central Mass Galaxies, Journées Dynamiques, Université de Paris, October 7 2021

Segregation, interaction of species and related free boundary problems, HIT online summer schoool on Nonlinear Differential Equations and Applications, Harbin Institute of Technology, July 8th2020

Segregation, interaction of species and related free boundary problems, Rio de Janeiro Webinar on Analysis and PDEs, webinar May 21 2020

Pattern formation through spatial segregation, SISSA webinar, April 28 2020

Pattern Formation through Spatial Segregation, Lisbon Webinar in Analysis and Differential Equations, April 7 2020

Liouville type theorems and local behaviour of solutions to degenerate or singular problems, One World PDE Seminar, March 31 2020

Segregated configurations involving the square root of the laplacian and their free boundaries, PDE's sessions in Bicocca: free boundary problems, Università di Milano-Bicocca, January 20, 2020

Pattern Formation through spatial segregation, Paris CNRS, October 14 2019

Nodal sets and free boundaries of segregated critical configurations involving fractional laplacians, Valencia, July 2019

Symbolic Dynamics of the N-centre Problem, Cogne, June 2019

The nodal set of solutions to sublinear, discontinuous and singular equations, Milano, May 2019

Liouville type theorems and local behaviour of solutions to degenerate or singular problems, Cortona, May 2019

Spiralling and other solutions in limiting profiles of competition diffusion systems, Gaeta, May 2019

Liouville theorems and a priori estimates for linear and nonlinear degenerate/singular PDEs and applications, Part 1, Part 2, Naples May 2019

Liouville type theorems and local behaviour of solutions to degenerate or singular problems, BIRS (Canada) May 2019

Liouville theorems and uniform regularity estimates for a class of degenerate/singular elliptic operators, Varese, February 2019

Segregated configurations involving the square root of the laplacian and their free boundaries, New York, november 2018

Spatial segregation with non-standard diffusions, Matrix (Australia), November 2018, Matrix1, Matrix2, Matrix3, Matrix4

Spiralling and other solutions in limiting profiles of competition diffusion systems (Joint UMI-SIMAI-PTM meeting, Wroclaw, September 2018)

On the nodal set of solutions to degenerate and singular elliptic and parabolic equations with applications to $s-$harmonic and $s-$caloric functions (Caserta, september 2018)

Parabolic and collision trajectories: a survey on the variational approach to the N-body problem (MSRI, August 2018)

Geometric aspects of phase separation (Minicourse, 2018 EWM-EMS Summer School, May 2018)

Regularity of the optimal set for spectral problems and the vectorial Bernoulli problem (Institut Mittag-Leffler May 2018)

The nodal set of solutions to some semilinear equations with sublinear, discontinuous, or singular nonlinearities (CUNY, April 2018)

Spiralling and other solutions in limiting profiles of competition diffusion systems (Hausdorff Center, Bonn, January 2018)

The nodal set of solutions to some semilinear equations with sublinear, discontinuous, or singular nonlinearities (Rome, January 2018)

Spiralling and other solutions in limiting profiles of competition diffusion systems (GSSI, December 2017)

Parabolic trajectories and symbolic dynamics: a survey on the variational approach to the N-body and N-centre problem (Augsburg, November 2017)

Regularity of the optimal sets for spectral functionals (Cassino, October 2017)

Geometric aspects of phase separations (Beedlewo, June 2017)

On $s$-harmonic functions on cones, (Brescia, April 2017)

Parabolic solutions for the spatial N-centre problem (Napoli, March 2017)

A survey on the variational approach to the N-body problem (April 2017)

Entire solutions and spiraling asymptotic profiles of competition-diffusion systems, CRM 2016, video1, video2, video3

Minicourse in Ravello (2016), Part I, Part II, Part III, Part IV

Regularity of the optimal sets for spectral functionals, (Oberwolfach, July 2016)

Existence and regularity of solutions to optimal partition problems involving Laplacian eigenvalues, 2016

Geometric aspects of Phase separation (Minicourse at Fields Institute, 2016), Part 1, Part2

Scattering parabolic solutions for the spatial N-centre problem (2016)

Donne e Matematica: Un rapporto Complesso, (Roma, Donne e Matematica, 23 marzo 2016)

On the eigenvalues of Aharonov-Bohm operators with varying poles. (2015)

Entire solutions and spiralling asymptotic profiles of competition-diffusion systems (2015)

Multilayer radial solutions for a supercritical Neumann problem (2015)

Liouville theorems and qualitative properties of solutions to competitive systems with several components (Torùn 2015)

A Variational Approach to Colliding solutions in Celestial Mechanics (Cologne 2015)

Geometric aspects of phase separation (Course in Santander, 2015)

Existence and regularity of solutions to optimal partition problems involving Laplacian eigenvalues (Lyon 2014)

Geometric aspects of competition-diffusion systems (Course in Catania 2014)

Simmetrie e orbite del problema degli n-corpi dai punti Lagrangiani alla teoria di Morse G-equivariante, Campus di Matematica Fisica e Sport, 13 luglio 2014 (zip con film)

Parabolic trajectories, collisions and regularization in the variational approach to the $N$-body problem (JISD Barcelona 2014)

Liouville theorems and qualitative properties of solutions to competitive systems with several components (Banff 2014)

On the eigenvalues of Aharonov Bohm operators with moving poles (Canberra 2013)

On the sharp effect of attaching a thin handle on the spectral rate of convergence (CIM, Tianjin2013)

Uniform Hölder bounds for strongly competing systems involving standard and anomalous diffusions (Cortona, May 2013)

Orbite e simmetrie spazio temporali del problema degli N-corpi, Alfa class Summer School Mathematics (lectio magistralis, september 2012)

Symbolic Dynamics of the N-centre Problem at Negative Energies, 9 AIMS Conference, Orlando 2012

Gaeta lectures: GNAMPA school on Differential Equations and Dynamical Systems

Entire solutions and optimal partitions, (Luminy 2012)

Symbolic dynamics for the planar N-centre problem at negative energies (ICVAM 3 - 2012)

Second Ancona Lecture: Entire solutions for competition-diffusion systems (2012)

First Ancona lecture: A variational approach to the spatial segregation of reaction–diffusion systems (2012)

Entire Parabolic Trajectories as Minimal Phase Transitions, (2011)

Le traiettorie paraboliche della meccanica celeste come transizioni di fase minimali (UMI - 2011)

Partizioni ottimali e problemi ellittici con forte competizione, Colloquia Patavina (2011)

Boundary singular solutions associated with connecting thin tubes, (2011)

Spectral properties and uniqueness theorems related to optimal partitions, 2009

Uniform Hölder bounds and regularity properties of the limiting profile for highly competing nonlinear systems of Schrödinger equations (Postech, South Korea, october 2008)

A function analytic approach to multi-modal periodic trajectories in Fermi-Pasta-Ulam chains (Marseille, february 2008)

Singularities and collisions of generalized solutions to the N-body problem (IHP, Paris, December 2007)

On Schroedinger Equations with multiple inverse square singularities (Rome, January 2007)

Multi-modal periodic trajectories in Fermi-Pasta-Ulam chains (Aveiro 2006)

On Schroedinger operators with mulipolar inverse square potentials (Como, 2006)

On the variational approach to the n-body problem (Dynamics, Topology and Computations, June 2006)

A variational problem for the spatial segregation of reaction--diffusion systems and related problems (Jean Leray international conference, Bedlewo, june 2006)