Nigel Kalton (1946-2010) contributed to functional analysis with more than 250 articles, and most of these articles were actual breakthroughs. He was a major figure in each of the fields covered by this conference. This meeting is therefore dedicated to Nigel Kalton’s memory. However, the CIRM would not be the proper place for a mere commemorative celebration. Our meeting is a scientific event, where active researchers will present their current research to their peers, as usual. But moreover, we thought it was relevant to gather mathematicians who recently contributed to these distinct but related fields. Our hope is to bring together researchers who do not meet so often and to favor exchange of ideas and new collaborations. It would be presumptuous to claim that we can complete the works that Nigel Kalton left, sadly, unfinished. However, it depends on us to convey his ideas to the next generation of researchers, and to underline links and analogies which could be less obvious to us than they were to him. A meeting where these links will be operative seems to be the best way to do so.