Talk at the Analysis and PDE Seminar, UCLA, Department of Mathematics. Organiser: Prof. Terence Tao. Talk: The weak (1,1) inequality for Fourier integral operators with complex phases, 10 September 2024.
Plenary at the Tbilisi Analysis & PDE Workshop 2023 (TAPDE2023), August 30-September 02, 2024. The University of Georgia, Tbilisi. Georgian Mathematical Union. Talk: Control theory for the heat equation on compact Lie groups.
Plenary at the Tbilisi Analysis & PDE Workshop 2023 (TAPDE2023), August 30-September 02, 2023. The University of Georgia, Tbilisi. Georgian Mathematical Union. Talk: Regularity properties of Fourier Integral Operators: Old and New.
Plenary at the 21st Annual Workshop on Applications and Generalizations of Complex Analysis, Aveiro, March 24-25, 2023, Paula Cerejeiras, Milton Ferreira, Uwe Kähler, Nelson Vieira, University of Aveiro, Portugal. Talk: A mathematical time machine to visit the past, present, and future of the theory of pseudo-differential operators.
Contributed talk: Regularity properties of Fourier Integral Operators: a modern perspective, Colombian Congress of Mathematics (Congreso Colombiano de Matemáticas), Universidad Tecnológica de Pereira, Pereira, Colombia, 2-6 June 2025.
Minucourse: pseudo-differential operators on compact Lie groups defined by matrix-valued symbols, Ghent Analysis and PDE Center, Global Minds in Pseudo-Differential Analysis, Ghent University, 25, 28 and 29 of April, 2025,
Invited lecture at ¨Foro del Departamento de Matemáticas¨ Universidad del Valle, Cali-Colombia, December 16-2024. Invited by Dr. Juan Carlos Muñoz.
Invited Lecture at 35th IWOTA - International Workshop on Operator Theory and its Applications, University of Kent, Canterbury, UK. Session: Operator Theory and Hypercomplex Analysis.
Lecture Course at “Analysis, PDEs and Applications GMG’70”, Armenia, 2024.
Invited Lecture: Analysis, PDEs and Applications, Summer School and Conference, June 24 - July 6, 2024, Yerevan, Armenia.
Invited Lecture: Dispersion and Geometry in Padova, May 6-7, 2024, Padova, Italy.
“Pseudo-Differential Operators and Related Topics” 2024. Invited talk. 29 January – 2 February 2024. Talk: The weak (1,1) type of Fourier integral operators with complex phases. Ghent Analysis & PDE Center, Ghent University, Belgium.
34th Brazilian Mathematics Colloquium, IMPA (Institute of Pure and Applied Mathematics), Rio de Janeiro, Brazil. July 24-28. Talk: Continuity properties of some operators arising in non-commutative harmonic analysis. Session: Fourier analysis, complex analysis and applications to partial differential equations.
14th International Congress of the International Society for Analysis, its Applications and Computation (ISAAC). Talk: Continuity properties of some operators arising in non-commutative harmonic analysis. 17-22 July 2023. Riberao-Preto, Brazil.
17th International Young Researchers Workshop on Geometry, Mechanics and Control. Wednesday 29 to Friday 31 March 2023, KU Leuven (Belgium) Organisers: Tom Mestdag (University of Antwerp), Gabriel Sevestre (KU Leuven), Karandeep Singh (KU Leuven), Vanhoolant Isabelle (KU Leuven), Marco Zambon (KU Leuven).
Microlocal and Global Analysis, Interactions with Geometry, University of Potsdam, February 20-24, 2023. Talk. Organisers: Sylvie Paycha (Potsdam), Wolfram Bauer (Hannover), Chand Devchand (Potsdam), Jörg Seiler (Torino), Ingo Witt (Göttingen).
Video of the talk Here!Conference on Noncommutative Analysis and PDEs 29-30 November 2022, Queen Mary University of London. Control theory for diffusion models on compact manifolds. 29 November 2022. Hardy Room, De Morgan House, London Mathematical Society.
11th International Conference on Harmonic Analysis and Partial Differential Equations. El Escorial, Madrid, 6-10 June 2022. On the boundedness of oscillating singular integrals on Lie groups of polynomial growth. Organisers: Davide Barbieri, José Conde Alonso, Daniel Faraco, Jose García-Cuerva, Gustavo Garrigós, Eugenio Hernández, José María Martell, Javier Parcet, Javier Ramos, Keith Rogers, Ana Vargas.
Slides Here!SUMS 2022 Math and Puzzles. University of Brown, US. Symmetries, cubes and singular integrals. Keywords: Combinatorics, Euclidean Geometry, Singular Integrals. 19 March 2022. Organisers: Herbert Kociemba (Darmstadt, Germany), Daniel Katz (Brown), Tanya Khovanova (MIT), and Pete Winkler (Dartmouth).
38th South Eastern Analysis Meeting. University of Florida, US. On the boundedness of oscillating singular integrals (on compact Lie groups). 5-6 March 2022. Organisers: James Pascoe, Michael Jury, Scott McCullough, University of Florida, US.
International Conference: Microlocal and Global Analysis, Interactions with Geometry University of Potsdam, Germany. 21-25 February 2022. Dixmier traces and Wodzicki residues on compact Lie groups: the paradigm of the global quantisation. (Organising committee: Wolfram Bauer (Hannover), Sylvie Paycha (Potsdam), Jörg Seiler (Torino), Bert-Wolfgang Schulze (Potsdam), Ingo Witt (Göttingen)).
(Video of the talk here!)The 17th Prairie Analysis Seminar. Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Kansas State University, Manhattan, KS. November 5-6, 2021. Organising committee: Diego Maldonado (K-State), Dionyssis Mantzavinos (KU), Virginia Naibo (K-State), Shuanglin Shao (KU).
(Video of the talk here!)International Workshop on Operator Theory and its Applications (IWOTA). Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Session: Spectral theory and differential operators. Lancaster University, UK. August 16-20, 2021. Organising committee: Malcolm Brown (Cardiff, UK), Ian Wood (Kent, UK) and Andrii Khrabustovskyi (Graz, Austria).
Title and abstract.13th International Congress of the International Society for Analysis, its Applications and Computation (ISAAC). Global theory of subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups.Slides Here! (The slides of the talk of M. Ruzhanksy at the Microlocal Conference at Potsdam University in 2022 about this work are available here! and the video of the talk is available here!)
Joint talk for the sessions: Harmonic Analysis and PDEs (click here) (Organisers: Vladimir Georgiev, Michael Ruzhansky and Jens Wirth). Generalized Functions and Applications (click here). (Organisers: Michael Kunzinger and Marko Nedeljkov). Pseudo-differential operators (click here!) (Organiser: Man Wah Wong). August 2-6, 2021.Segundo encuentro internacional de Investigación, Ciencia, Tecnología e Innovación, 2020. Fourier analysis: Past, Present and Future. FABA-Universidad de Santander, Colombia. YouTube version here!
International Conference, Microlocal analysis in interaction with geometry and physics. Global theory of subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. Institute of Mathematics, Potsdam University, Germany. 15-19 February 2021, (Organising committee: Wolfram Bauer (Hannover), Sylvie Paycha (Potsdam), Jörg Seiler (Torino), Alfonso Garmendia (Potsdam), Bert-Wolfgang Schulze (Potsdam), Ingo Witt (Göttingen)). Link to video of the conference here!
CONVImaTe 2021. Sobre la conjetura del disco en grupos de Lie graduados: Avances recientes, 20-22 January 2021. Department of Mathematics, Universidad del Valle, Cali-Colombia (Organising committee: D. Torres., E. Castano., S. Troncoso).
Encuentro Nororiental de Matemáticas. Teoría de operadores pseudo-diferenciales. 18-20 November 2020. Department of Mathematics. Universidad de Pamplona, Colombia.
International conference: Multidisciplinary Aspects in Mathematics and its applications. Global pseudo-differential operators on compact Lie groups., 29-31 August 2020. Universidad del Valle. Department of Mathematics. YouTube version here!
Virtual Heidelberg Laureate Forum, September 21–25, 2020. Heidelberg Laureate Forum Foundation (HLFF), Germany, Poster presentation.
International Conference on noncommutative analysis, Subelliptic pseudo-differential operators on compact Lie groups. Blitz talk. 18-20 August 2020, Ghent University & PDE Center, Belgium. See YouTube version here!
International Conference on Pseudo-differential Operators. Lp-bounds for pseudo-differential operators on graded Lie groups. Blitz talk. 7-8 July 2020, Ghent Analysis & PDE Center, Belgium. See YouTube version here!
Primer encuentro internacional de Investigación, Ciencia, Tecnología e Innovación. Análisis matemático en el procesamiento de imágenes médicas. Ponencia. 2020. FABA-Universidad de Santander, Colombia. See YouTube version in Spanish here!
Colombian Congress of Mathematics. Fourier multipliers in Besov spaces, Talk. Colombian Mathematical Society. Universidad Nacional de Colombia. Bogotá- Colombia. (2017)
International Conference on Analysis and Partial Differential Equations. Global pseudo-differential operators on Besov spaces defined in compact Lie groups. Imperial College London. Sept 26-30. London - UK. (2016) Supported by Imperial College London, Department of Mathematics.
Colombian Congress of Mathematics. Invertibilidad de multiplicadores de Fourier. Talk. Colombian Mathematical Society. Universidad Nacional de Colombia. Manizales-Colombia. (2015)
Colombian Congress of Mathematics. Operadores pseudodiferenciales definidos en medidas de Borel. Talk. Colombian Mathematical Society. Universidad del Norte. Barranquilla-Colombia. (2013)
Summer School Workshop: Modern Problems in PDEs and Applications, 2023, Ghent Analysis and PDE Center, Belgium. Talk: On the Benjamin-Ono equation in the half line.
Tbilisi Analysis and PDE Seminar, Institute of Mathematics of the University of Georgia. Continuity properties of some operators arising in non-commutative harmonic analysis. Organisers: R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi. E. Shargorodsky, Department of Mathematics, King’s College London. G. Tephnadze, Institute of Mathematics, University of Georgia, Tbilisi, 13 June 2023.
Seminar of Analysis: Strichartz estimates for the Schrödinger equation on compact Lie groups, Potsdam University, Germany, 5 May 2023. Organiser: Prof. Sylvie Paycha.
SDU Analysis and PDE Seminar Controllability of the heat equation for elliptic operators on compact manifolds, Wednesday, 21 December 2022. Organiser: Nurgissa Yessirkegenov. Suleyman Demirel University, Kazhakstan.
PDE and Applied Mathematics Seminar Control theory for diffusion models on compact manifolds. Wednesday, 02 November 2022. Organisers: Juan Limaco (UFF-Brazil), Mauro Rincón (UFRJ-Brazil), Max Souza (UFF-Brazil), Sandra Malta (LNCC, Brazil), Marcelo Cavalcanti (UEM-Brazil), Rui Almeida (UBI-Portugal), Roxana Lopez (UNMSM-Peru), Diego Souza (USevilla-Spain), Mauricio Sepulveda (U de Chile, Chile), Roberto Capistrano (UFPE-Brazil).
Seminar of The Institute of Mathematics, of the University of Georgia. Spectral Inequalities and control theory on compact manifolds. Day: 11 October 2022. R. Duduchava, E. Khmaladze, T. Phirashvili, G. Tephnadze. Secretary: M. Tsaava. Technical support: G. Tutberidze. Institute of Mathematics, University of Georgia, Tbilisi.
Seminar of pseudo-differential operators and analysis. Controllability of the fractional heat equation for elliptic operators on compact manifolds. Friday, 14 October 2022. Organisers: Shyam Swarup Mondal, Santosh Kumar Nayak, Abhliash Tushir, Lalit Mohan, Aparajita Dasgupta. Indian Institute of Technology.
DeustoCCM Seminar, Chair of Computational Mathematics at University of Deusto, Deusto Institute of Technology. & Deusto Foundation. Fefferman-Stein Theory for Oscillating Singular Integrals. 28 April 2022. Organisers: DeustoCCM – Chair of Computational Mathematics, University of Deusto, Bilbao, Basque Country (Spain) Slides Here!
Tbilisi Analysis and PDE Seminar, Institute of Mathematics of the University of Georgia. Oscillating Fourier multipliers theory: geometric aspects and the role of the symmetries. Organisers: R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi. E. Shargorodsky, Department of Mathematics, King’s College London. G. Tephnadze, Institute of Mathematics, University of Georgia, Tbilisi, 2022. Video of the talk here!
Seminario de Análisis, CUCEI. Universidad de Guadalajara, Mexico. Continuidad de tipo débil (1,1) para operadores integrales de Fourier/Weak (1,1) boundedness for Fourier integral operators. 1 April 2022. Organisers: Celia Ávalos Ramos, Isidro Humberto Munive Lima. Universidad de Guadalajara, Mexico.
Video of the talk (in Spanish) Here!Clemson University Analysis Seminar Clemson University, Clemson, US. 11 February 2022. Title: On the boundedness of oscillating singular integrals.
This is the link for the video to this talk.Analysis and Geometry Seminar. University of Antwerp, Belgium. 23 February 2022. Organiser: Sonja Hohloch, University of Antwerp. Title:On the Wodzicki residue on compact Lie groups and the paradigm of the global quantisation.
The Antwerp Algebra Colloquium. Representation theory and pseudo-differential operators. New perspectives. Antwerp University, Belgium. November 26, 2021. Organiser: Jens Hemelaer, Antwerp University.
(Video of the talk here!).The 17th Prairie Analysis Seminar. Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Kansas State University, Manhattan, KS. November 5-6, 2021. Organising committee: Diego Maldonado (K-State), Dionyssis Mantzavinos (KU), Virginia Naibo (K-State), Shuanglin Shao (KU).
(Video of the talk here!).Methusalem Junior Seminar Pure Mathematics. Global theory of subelliptic pseudo-differential operators for sub-Riemannian structures. Department of Mathematics, KU Leuven, 6 May 2021. Leuven-Belgium. Slides here!
Seminar of Logic and Analysis. Mapping properties for pseudo-differential operators on graded/compact Lie groups. Department of Analysis, Logic and Discrete Mathematics, Ghent University. April 2021, Ghent-Belgium.
Seminario de Maestría en Matemáticas. La conjetura de restricción de Stein y el problema de restricción sobre el toro. Departamento de Matemáticas, Pontificía Universidad Javeriana. Bogotá-Colombia. March- 2019.
Seminario de Estudiantes, Departamento de Matemáticas. Operadores Integrales de Fourier en el toro. Universidad del Valle, Cali-Colombia, May 14 2019. Invited by Juan Carlos Muñoz.
Seminario de Posgrado. The proof of the L2 Decoupling Conjecture (Bourgain, et. al). Departamento de Matemáticas. Universidad de los Andes. Bogotá-Colombia. August 2018.
Coloquio del Departamento de Matemáticas. Operadores globales nucleares en espacios de Besov. Pontificía Universidad Javeriana. Bogotá-Colombia. August 2016.