Conference Talks
07 - 2024: From the isoperimetric inequality to functional inequalities under nonnegative curvature, 2^AMS-UMI Workshop, Special Sessione B13 "Funcional inequalities, shape optimization, and elliptic PDEs", Palermo.
04 - 2024: Nonnegative curvature and existence of isoperimetric sets, AMS Special Session on Interactions Between Analysis, Geometric Measure Theory, and Probability in Non-Smooth Spaces (Spring Eastern Sectional Meeting) Howard University, Washington DC
02 - 2024: Isoperimetric properties of spaces with nonnegative Ricci or nonnegative scalar curvature, Recent Advances in Comparison Geometry, IASM, Hangzhou
12 - 2023: Nonnegative curvature and existence of isoperimetric sets, Thematic session on Geometric Functional Analysis: Analytic, Discrete, and Probabilistic Aspects, CMS Winter Meeting, Montreal (Slides)
07 - 2023: Isoperimetry for (nonsmooth) spaces with curvature lower bounds, Thematic session on GMT, 34th Brazilian Mathematics Colloquim, IMPA, Rio De Janeiro
06 - 2023: Isoperimetry for (nonsmooth) spaces with curvature lower bounds, Geometry and Analysis of groups and manifolds, Centro De Giorgi, Pisa (Slides)
03 - 2023: (Contributed talk) Existence of isoperimetric sets on non-negatively curved 2-dimensional metric spaces, Twelfth Ohio River Analysis Meeting, Cincinnati (Slides)
06 - 2022: Lecture 5. Sharp differential inequality for the isoperimetric profile on noncollapsed spaces with lower Ricci bounds, and sharp and rigid isoperimetric inequality for nonnegatively curved spaces, Isoperimetric problems, Dipartimento di Matematica, Università di Pisa (Slides)
This was one of six interlinked seminars held in the conference together with M. Fogagnolo (Lecture 1), S. Nardulli (Lecture 2), E. Pasqualetto (Lecture 3), D. Semola (Lecture 4), E. Bruè (Lecture 6). The slides of the other talks can be found here.05 - 2022: Rectifiable measures on Carnot groups, XXXI Convegno nazionale di Calcolo delle Variazioni, Levico Terme (Slides)
02 - 2020: Some results on codimension-one rectifiability for subsets in Carnot groups, XXX Convegno nazionale di Calcolo delle Variazioni, Levico Terme (Slides)
06 - 2018: The "Almost Splitting Theorem" and its importance in the study of structure results of Ricci Limit spaces, Non-smooth Geometry and Optimal Transport, SNS, Pisa
Invited mini-courses
07/2024: Minicourse on isoperimetric problems, European Doctorate school of Differential Geometry (Granda)
07/2023: I delivered a lecture at UFABC (Sao Paulo) as a part of the minicourse Intriguing relations between isoperimetry and lower curvature bounds on Riemannian manifolds jointly with M. Fogagnolo and M. Pozzetta. The minicourse was part of a large meeting organized by Prof. Nardulli and Prof. Da Silva
11/2021 - 01/2022: Lectures on Ricci-limit spaces. I was invited to give a series of 4 seminars at CIMAT (Mexico) in order to explain some results by Cheeger-Colding on the structure of Ricci-limit spaces. The aim of these 4 seminars will be to give a detailed proof of the almost splitting theorem, and of the "almost volume cone implies almost metric cone" theorem.
Research Seminars
07 - 2024: (Forthcoming) Seminar at University of Padova.
02 - 2024: Isoperimetric properties of spaces with nonnegative Ricci or nonnegative scalar curvature, Geometric Analysis Seminar, University of Chicago
11 - 2023: Isoperimetric Problem and Curvature Bounds, Graduate Student/Postdoc Seminar, Courant Institute (NYU)
10 - 2023: On the existence of isoperimetric sets in nonnegatively curved spaces, Analysis & PDE Seminar, Johns Hopkins University
04 - 2023: Sharp second order differential inequalities for the isoperimetric profile on spaces with bounds from below on the Ricci curvature and applications, Geometry and Probability Seminar, USTC (Slides)
02 - 2023: Lipschitz differentiability spaces modeled on Carnot groups and Pansu derivatives, Analysis and Probability Seminar, UConn (Slides)
02 - 2023: What are the effects of a bound from below on the curvature on the isoperimetric problem? 3rd GAPPF Online (Slides) (First Video, Second Video)
11 - 2022: Rectifiability in Carnot Groups, Analysis Seminar, Courant Institute (NYU)
05 - 2022: Isoperimetric properties of spaces with curvature bounded from below, Differential Geometry Seminar, University of California, Santa Barbara (Slides)
02 - 2022: Sharp differential inequalities for the isoperimetric profile in spaces with Ricci lower bounds, Geometry Seminar, University of Granada
01 - 2022: The isoperimetric problem on spaces with curvature bounded from below, Geometry Seminar, GeoTop (University of Copenaghen) (Slides)
12 - 2021: The isoperimetric problem on spaces with curvature bounded from below, Geometric analysis and topology seminar, Courant Institute (NYU) (Slides)
11 - 2021: The isoperimetric problem on spaces with curvature bounded from below, Research Seminar, University of Basel (Slides)
11 - 2021: The isoperimetric problem on spaces with curvature bounded from below, Seminar, University of Torino
11 - 2021: The isoperimetric problem on spaces with curvature bounded from below, Students seminar, University of Bern
05 - 2021: Horizontally polynomial functions on Lie groups, Oberseminar Geometrie, University of Fribourg (Slides)
03 - 2021: Prolegomena to "The isoperimetric problem on Riemannian manifolds via Gromov--Hausdorff asymptotic analysis", University of Napoli (Slides)
02 - 2021: Rectifiable measures: a local-to-global adventure tailored for Carnot groups, Doc in progress, University of Trento (Slides)
06 - 2020: Intrinsic C^1-regular surfaces in Carnot groups, Forschungsserminars Variation- srechnung, University of Hamburg (Slides)
01 - 2020: Some results on codimension-one rectifiability for subsets in Carnot groups, Geometry seminar, University of Jyvaskyla (Slides)
10 - 2019: Some results on codimension-one rectifiability for subsets in Carnot groups, Analysis seminar, University of Pisa
03 - 2019: How can harmonic functions split your manifold? MAP seminars, University of Pisa
Research periods:
13 - 21/07/2023: UFABC (visting prof. S. Nardulli)
23 - 27/02/2023: UConn (visting prof. M. Gordina)
10 - 19/11/2022: Fields Institute (visit in the framework of the Thematic Program on Nonsmooth Riemannian and Lorentzian Geometry)
02 - 05/2022: University of Fribourg (visiting prof. E. Le Donne)
13 - 23/02/2022: University of Granada (visiting prof. M. Ritoré)
07/12/2021 & 14/12/2021: Courant Institute, NYU (visiting prof. R. Young)
03 - 19/12/2021: Institute for Advanced Study, Princeton (visiting prof. C. De Lellis and dr. E. Bruè)
17 - 20/11/2021: University of Torino (visiting prof. L. Mari)
01 - 13/11/2021: University of Fribourg (visiting prof. E. Le Donne)
02 - 06/2021: University of Fribourg (visiting prof. E. Le Donne)
19 - 31/01/2020: University of Jyvaskyla (visiting prof. E. Le Donne)