- Talk at the MACHINE LEARNING GENOA CENTER, April 11, 2022,

*Some recent results on the use of group equivariant non-expansive operators for topological data analysis and geometric deep learning.**VIDEO OF THE TALK* - Webinar "Seminari su Intelligenza Artificiale e Machine Learning, Gruppo UMI “AI&ML&MAT", 4 marzo 2022,

*Sull’uso di operatori equivarianti non espansivi per l’apprendimento automatico (Italian).* - Webinar "Big Data challenges for Mathematics: state of the art and future perspectives", February 25, 2022,

*On the use of group equivariant non-expansive operators for topological data analysis and geometric deep learning.* - International Conference on "Methods and Applications of Artificial Intelligence and Machine Learning in Heterogeneous Brains", September 4-6, 2021,

*Some recent results in the geometric-topological theory of group equivariant non-expansive operators.* - Online Workshop "Beyond TDA – Persistent topology and its applications in data sciences", NTU, August 28-30, 2021,

*On the role of group equivariant non-expansive operators in Topological Data Analysis.* - Serie di seminari dell'Istituto per le Applicazioni del Calcolo del CNR: "AIM: Artificial Intelligence and Mathematics, fundamentals and beyond", 9 Marzo 2021,

*Osservazioni geometriche per l'intelligenza artificiale (Italian).* - Webinar Series: Topology, Rajagiri School of Engineering & Technology, September 25, 2020,

*An introduction to topological data analysis through the concepts of natural pseudo-distance, persistence diagram and group equivariant non-expansive operator.* - Complex Simplex: Topological and Network Data Science Workshop, Politecnico di Torino, October 14-15, 2019,

*Deep learning and group equivariant (non-expansive) operators - Theory.*(Joint presentation with Mattia G. Bergomi). - Topological data analysis and deep learning: theory and signal applications, 9th International Congress on Industrial and Applied Mathematics, Valencia, Spain, July 15, 2019,

*The theory of group equivariant non-expansive operators as a possible bridge between TDA and Deep Learning*. - International Workshop and Conference on Topology & Applications, Rajagiri School of Engineering & Technology, Kochi, Kerala, INDIA, December 5-11, 2018,

*Some new results in 2D persistent homology*. Please also download*this video*illustrating the monodromy phenomenon in 2D persistent homology. - International Workshop and Conference on Topology & Applications, Rajagiri School of Engineering & Technology, Kochi, Kerala, INDIA, December 5-11, 2018,

*The use of group equivariant non-expansive operators in topological data analysis*. - International Workshop and Conference on Topology & Applications, Rajagiri School of Engineering & Technology, Kochi, Kerala, INDIA, December 5-11, 2018,

*The natural pseudo-distance in topological data analysis*. - 10th Conference on Geometric and Topological Methods in Computer Science (GETCO),
Oaxaca, Mexico, September 10-14, 2018,

*The theory of group equivariant non-expansive operators in topological data analysis*. - XXI BRAZILIAN TOPOLOGY MEETING,
Satellite conference of ICM 2018,
Universidade Federal Fluminense (Niterói, Rio de Janeiro, Brazil), August 12-18, 2018,

*New advances in 2D sublevel set persistent homology*(video). - Workshop on Homotopy Probability Theory,
Universität des Saarlandes (Saarbrücken, Germany), September 4-8, 2017,

*Some advances in the application of group-invariant persistent homology to topological data analysis*. - Workshop on Homotopy Probability Theory,
Universität des Saarlandes (Saarbrücken, Germany), September 4-8, 2017,

*An approach to topological data analysis via persistent topology and invariant operators*. - Mini course "Some new results in two-dimensional and group-invariant persistent homology", Ohio State University, April 3-7, 2017,

*Lecture 3: Group-invariant persistent homology and its use for topological data analysis*. - Mini course "Some new results in two-dimensional and group-invariant persistent homology", Ohio State University, April 3-7, 2017,

*Lecture 2: The coherent matching distance in 2D persistent homology*. - TGDA Seminar, Ohio State University, April 5, 2017,

*A theoretical framework for topological data analysis*. - Mini course "Some new results in two-dimensional and group-invariant persistent homology", Ohio State University, April 3-7, 2017,

*Lecture 1: The phenomenon of monodromy in 2D persistent homology*. - Computational Topology in Image Context,
Marseille, June 15-17, 2016,

*The coherent matching distance in 2D persistent homology*(A more detailed version is available*here*). - SIAM Conference on Imaging Science,
Geometry-based Models in Image Processing, Albuquerque, 24 May 2016,

*Image comparison via group invariant non-expansive operators*. - 9th Eurographics Workshop on 3D Object Retrieval,
Lisbon, 8 May 2016,

*Towards an observer-oriented theory of shape comparison*. - Segunda Escuela/Conferencia de Análisis Topológico de Datos, Querétaro, December 7-11, 2015,

*An observer-oriented approach to topological data analysis. Part 1: From comparing subsets of R^n to studying metric spaces of functions*. - Segunda Escuela/Conferencia de Análisis Topológico de Datos, Querétaro, December 7-11, 2015,

*An observer-oriented approach to topological data analysis. Part 2: The algebra of group invariant non-expansive operators and its application in the project GIPHOD - Group Invariant Persistent Homology Online Demonstrator*. - Geometric and Topological Methods in Computer Science, Aalborg, April 7-10, 2015,

*Geometric shape comparison via G-invariant non-expansive operators and G-invariant persistent homology*. - Homology: Theoretical and Computational Aspects, Genoa, February 9-13, 2015,

*G-invariant persistent homology*. - Applied and Computational Algebraic Topology, Bremen, July 15-19, 2013,

*Adapting persistent homology to invariance groups*. -
ACA 2013 - Special Session on Computer algebra
in algebraic topology and its applications, Málaga, July 3, 2013,

*Some advances in G-invariant persistent topology and homology*. -
Seminar on "Topics in Mathematics" - Ph.D. Program in Mathematics (University of Bologna), 11 April 2013,

*A quick trip through geometrical shape comparison*. -
Seminar on Computational Mathematics, Institute of Computer Science,
Jagiellonian University, Kraków, Poland, 25 October 2012,

*A general distance for geometrical shape comparison*. -
Fifth Workshop on
Non-Rigid Shape Analysis and Deformable Image Alignment (in conjunction with ECCV 2012), Florence, Italy, 7 October 2012,

*A metric paradigm for geometrical shape comparison*. -
Mini-symposium on Applied and Computational Algebraic Topology, 6ECM, Kraków, Poland,
4 July 2012,

*Metric shape comparison via multidimensional persistent homology*. - Dagstuhl Seminar “Applications of Combinatorial Topology to Computer Science”,
LZI Schloss Dagstuhl, Germany,
18-23 March 2012,

*Some research notes on G-invariant Persistent Homology*. - Workshop on Computational Topology, Fields Institute, Toronto,
7-11 November 2011,

*Filtrations induced by continuous functions*. - Applied Algebraic Topology, ETH Zürich,
4-8 July 2011,

*Some new results in multidimensional persistent homology*. - Third International Conference on Scale Space and Variational
Methods in Computer Vision,
Ein Gedi Resort, Dead Sea, Israel,
29 May - 2 June 2011,

*Counting components of multi-dimensional sub-level sets for shape comparison*. - Colloquium on Computer Graphics,
PRIP - Vienna University of Technology,
17 December 2010,

*A metric approach to shape comparison via multidimensional persistence*. - Geometric and Topological Methods in Computer Science,
Aalborg University, January 11-15, 2010,

*Multidimensional persistent topology as a metric approach to shape comparison*. - Gilles Fournier Memorial Conference on Classical
and Computational Topological Methods,
Université de Sherbrooke, Canada, September 22-24, 2006,

*Shape comparison by multidimensional size functions*.