Paolo Ciatti - Geometric Aspects of Harmonic Analysis

This series will publish textbooks, multi-authors books, thesis and monographs in English language resulting from workshops, conferences, courses, schools, seminars, doctoral thesis, and research activities carried out at INDAM - Istituto Nazionale di Alta Matematica, http://www.altamatematica.it/en . The books in the series will discuss recent results and analyze new trends in mathematics and its applications.

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On 2529 June 2018 the INdAM Meeting Geometric Aspects of Harmonic Analysis took place in Cortona. This conference, which saw the participation of over 120 mathematicians from around the world, was organised on the occasion of Fulvio Riccis 70th birthday.

This short introduction is not meant to discuss the interest and relevance of Fulvio Riccis mathematical contributions, which are witnessed by his bright career, the quality of his scientific production, the awards he received and the level of the scholars who participated in the conference. Some words in that direction can be found in the letter by Elias Stein included in this volume. Instead, we would like to express our appreciation of Fulvio and our gratitude to him for the humanity, the rigour, the fairness he has always shown in mathematics and life and, last but not least, his great openness to interact and collaborate with mathematicians of all ages and from all over the world.

This volume originated in talks given in Cortona and presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas.

It is our pleasure to thank all the organisations that contributed generously to the conference with their financial support: the Istituto Nazionale di Alta Matematica-INdAM, the Clay Mathematics Institute, the US National Science Foundation, the Scuola Normale Superiore di Pisa, the Universit degli Studi di Milano Bicocca, and the Universit degli Studi di Padova. Special thanks are due to the University of WisconsinMadison, which kindly hosted the website of the conference.

On behalf of the entire organising committee of the conference we would like to acknowledge our great appreciation to the director of INdAM, Professor Giorgio Patrizio, and to the former director of SNS, Professor Vincenzo Barone. Their efforts and suggestions helped to make this a most fruitful and enjoyable meeting.

We are also pleased to thank all the speakers for the distinguished and outstanding lectures they gave.

It is our pleasure to thank all people working at the Centro Convegni SantAgostino and the Palazzone, which were the meetings venues, for their friendliness, kindness and effectiveness; special thanks are particularly due to Mrs Rita Santiccioli and Mrs Benedetta Biagiotti.

We owe a debt of gratitude to all the other organisers of the conference: Luigi Ambrosio, Gian Maria DallAra, Bianca Di Blasio, and especially the US organisers Loredana Lanzani, Betsy Stovall and Brian Street, who applied for the NSF funding.

Finally, we would like to take this opportunity to thank all the participants in the conference. We hope that the warm atmosphere of those days in Cortona will be a nice memory for all of them.

Elias M. Stein could not attend the June 2018 conference in Cortona. Instead, he sent a letter, which was read during the conference and is reproduced below. Dear Fulvio and friends,

Im sorry that Im missing this wonderful celebration in your honor, FulvioI can only blame my overly cautious doctor for this. But I want to take this opportunity to say a few words of appreciation of your many remarkable achievements, and then indulge in a few reminiscences.

First, we all know and recognize that your work continues to have broad impact and wide influenceindeed your efforts have played a major role in transforming a number of diverse area in analysis. Your constant urge to try to look at things differently, your deep insights, great energy, and your keen appreciation for what is really important, has made all of this possible. In working with others (youve had at least 20 collaborators), your wisdom and warmth have brought out the best in your coworkers, and in many cases made them even better than they thought possible, as I can readily attest.