EU Project 794305 - COVTRANS
Title: Functional/Harmonic Analysis of Covariant Transforms
Funding source: HORIZON 2020 The EU Framework Programme for Research and Innovation
Project acronym: COVTRANS
Project ID: 794305
Call: H2020-MSCA-IF-2017
Topic: MSCA-IF-2017-EF
Type of Action: Marie Skłodowska Curie Actions - Individual Fellowship
The topic of this project is a structured extension of covariant/contravariant transforms using tools from non-commutative harmonic analysis and representation theory. We are going to develop a systematic framework to study the structure and properties of convolution-type operators associated to locally compact groups, both from a theoretical perspective and in application to geometric analysis, operator theory and mathematical physics.
News and Progress:
24 March 2021: The research paper "Covariant Function Algebras of Invariant Characters of Normal Subgroups" released. arXiv:2103.13387
08 March 2021: The research paper "Banach Convolution Modules of Group Algebras on Covariant Functions of Characters of Normal Subgroups" released. arXiv:2103.04929
17 Feb 2021: The research paper "Harmonic Analysis of Covariant Functions of Characters of Normal Subgroups" released. arXiv:2102.08901v2
15 Feb 2021: The research paper "Covariant Functions of Characters of Compact Subgroups" released. arXiv:2102.07892
This paper published in Annals of Functional Analysis.
16 November 2020: The research paper "Abstract Noncommutative Fourier Series on $\Gamma\backslash SE(2)$"
(joint work with Gregory Chirikjian) accepted for publication in Pure and Applied Mathematics Quarterly.
7-8 July 2020: I attended International Conference on Pseudo-differential Operators, Ghent Analysis & PDE Center, Ghent University/ZOOM.
03 October 2019: I attended Academic Development Course on Role of the Internal Examiner at University of Leeds, UK.
26 September 2019: I attended Academic Development Course for Effective Postgraduate Research Supervision at University of Leeds.
24 September 2019: I attended MSCA Fellows Forum event at University of Leeds.
18-19 September 2019: I attended Induction Course for Lecturers in the Mathematical Sciences, at Isaac Newton Institute for Mathematical Sciences, Cambridge.
25 August - 08 September 2019: I visited NuHAG and CMA at University of Vienna.
26 August - 30 August 2019: I attended MAIA 2019 (Multivariate Approximation and Interpolation with Applications), at ESI.
1-4 July 2019, I attended the workshop Loops in Leeds: Motion groups and related topics, University of Leeds, UK.
3-7 June 2019: I attended the Conference Fredholm Theory of Non-Elliptic Operators, University of Leeds, UK.
20 March 2019: I gave a talk in Leeds Analysis and Applications Seminar 2019.
05 March 2019: We attended the internal Kick-off meeting CovTrans 113792 with the HR and the EU Team.
01 March 2019: We developed a google site for the project.