INVITED TALKS AND scientific events

Selected invited talks in workshops

• Fine asymptotics for radial solutions of the Fast Diffusion Equation on the hyperbolic space, 3rd Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE’s, 2-6 September 2013, Tokyo Institute of Technology, Tokyo (Japan).

• Subcritical Caffarelli-Kohn-Nirenberg inequalities: a complete characterization of the symmetry region, Partial Differential Equations and Related Topics, 12-16 September 2016, Alghero (Italy).

• The porous medium equation with large initial data on negatively curved Riemannian manifolds, 5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE’s, 15-19 May 2017, Osaka City University, Osaka (Japan).

• Pointwise estimates for solutions of the porous medium equation on negatively curved Riemannian manifolds, Harnack’s Inequalities and Nonlinear Operators – A conference to celebrate the 70th birthday of Emmanuele DiBenedetto, 19-23 June 2017, Cortona, Arezzo (Italy).

• Asymptotics of the porous medium equation on negatively curved Riemannian manifolds, Equadiff 2017 (M.S. "Nonlinear Elliptic and Parabolic Equations of Fractional Type"), 24-28 July 2017, Slovak University of Technology in Bratislava, Bratislava (Slovakia).

• Gradient flows in abstract metric spaces: evolution variational inequalities and stability, BIRS Workshop on "Entropies, the Geometry of Nonlinear Flows, and their Applications", 8-13 April 2018, Banff International Research Station, Banff, Alberta (Canada). Video of the talk.

• Sobolev inequalities on Cartan-Hadamard manifolds and applications to nonlinear diffusions, The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (S.S. "Asymptotics for Nonlinear Diffusion Equations and Related Topics"), 5-9 July 2018, National Taiwan University, Taipei (Taiwan).

• From stochastic completeness to nonlinear diffusions and back, UMI-SIMAI-PTM Joint Meeting (S.S. "Advances in Nonlinear Elliptic and Parabolic PDEs: From Local to Nonlocal Problems"), 17-20 September 2018, Wrocław (Poland).

• Nonlinear diffusion equations of fast-diffusion type and relations with stochastic completeness, 6th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE’s, 20-24 May 2019, Cortona, Arezzo (Italy).

• The filtration equation on Euclidean domains: the case of a two-power behavior, The 9th International Congress on Industrial and Applied Mathematics – ICIAM 2019 (M.S. "Advances in Local and Nonlocal PDEs"), 15-19 July 2019, Universitat de València, Valencia (Spain).

• Nonlinear diffusion equations on negatively-curved Riemannian manifolds (semi-plenary talk), XXI Congress of the Italian Mathematical Union, 2-7 September 2019, Università degli Studi di Pavia, Pavia (Italy).

• Uniqueness of very weak solutions for a fractional nonlinear diffusion (online talk), 8th European Congress of Mathematics (M.S. "Nonlocal Operators and Related Topics"), 20-26 June 2021, Portorož (Slovenia).

• The fast diffusion equation on Riemannian manifolds with nonpositive curvature and related elliptic problems, Regularity for Nonlinear Diffusion Equations. Green Functions and Functional Inequalities, 13-17 June 2022, Universidad Autónoma de Madrid, Madrid (Spain).

• Stability of the porous medium equation on Riemannian manifolds with respect to the 2-Wasserstein metric, Frontiers in Nonlocal Nonlinear PDEs, 5-8 July 2022, Anacapri (Italy).

• Nonlinear diffusion on Riemannian manifolds: a strong connection with stochastic incompleteness, BIRS-IMAG Workshop on "Nonlinear Diffusion and Nonlocal Interaction Models - Entropies, Complexity, and Multi-Scale Structures", 28th May - 2nd June 2023, Instituto de Matemáticas de la Universidad de Granada, Granada (Spain). Video of the talk.

• Some rigidity results for Sobolev inequalities on Cartan-Hadamard manifolds, XXII Congress of the Italian Mathematical Union (S.S. "Real Analysis and Functional Inequalities"), 4-9 September 2023, Università degli Studi di Pisa and Scuola Normale Superiore, Pisa (Italy).

Organization of scientific events

• BIRS-CMO Workshop New Trends in Nonlinear Diffusion: a Bridge between PDEs, Analysis and Geometry (online), 5-10 September 2021, Casa Matemática Oaxaca (CMO), Oaxaca (Mexico). Organizing Committee: Pedro Aceves-Sánchez, Matteo Bonforte, M.M., Bruno Volzone. More information here.

• Recent Advances in PDEs, Analysis and Applications, 2-3 December 2021, Politecnico di Milano. Organizing Committee: Giulia Meglioli, M.M., Clara Patriarca, Fabio Punzo. More information here.

• Minisymposium Nonlinear PDEs and related diffusion phenomena, ICIAM 2023, 24-25 August 2023, Waseda University, Tokyo (Japan). Organizing Committee: Kazuhiro Ishige, Tatsuki Kawakami, M.M.. More information here.

• Perspectives in PDEs, Global and Functional Analysis, 5-7 June 2024, Università degli Studi dell'Insubria, Como (Italy). Organizing Committee: Matteo Bonforte, M.M., Fabio Punzo, Alberto Setti. More information here.