26 | IHES Annual Report 2020
Alain CONNES Mathematics, Léon Motchane Chair since 1979 and professor emeritus since 2017.
From the summer of 2020, the research activity carried out by ALAIN CONNES focused on spectral triplets giving the spectral realization of zeta zeros.
Prix Aimé Berthé, Académie des sciences de Paris (1975) Prix Peccot, Collège de France (1976) CNRS Silver Medal (1977) Prix Ampère, Académie des sciences de Paris (1980) Fields Medal (1982) Clay Research Award (2000) Crafoord Prize (2001) CNRS Gold Medal (2004) Doctor Honoris Causa, Queen's University, Canada (1979) Doctor Honoris Causa, Roma Tor Vergata, Italy (1997) Doctor Honoris Causa, University of Oslo, Norway (1999) Doctor Honoris Causa, Université Libre de Bruxelles, Belgium (2010) Doctor Honoris Causa, Fudan University, China (PR.) (2017) Royal Danish Academy of Sciences and Letters, foreign member Académie des sciences de Paris, member American Academy of Art & Sciences, honorary foreign member Norwegian Academy of Sciences and Letters, foreign associate member Royal Society of Canada, foreign member National Academy of Sciences, USA, foreign associate member Russian Academy of Sciences, foreign associate member Royal Academy of Science of Belgium, associate member
With W. van Suijlekom Spectral Truncations in Noncommutative Geometry and Operator Systems Comm. Math. Phys. (2020).
With K. Consani Segal's Gemma Rings and Universal Arithmetic Q. J. Math., published in the volume in honor of Michael Atiyah.
Weil Positivity and Trace Formula, the Archimedean Place submitted for Selecta Mathematica
Quasi inner Functions and Local Factors Accepted by Journal of Number Theory.
Germany Non commutative Geometry and Cyclic Homology 2020, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach (28 June - 4 July) Quantized Calculus and Weil Positivity, the Archimedean Place (video conference)
Netherlands NCG Seminar, Radboud University, Nimègue (22 September) Quasi inner Functions and Quantized Calculus (video seminar)
Math-Science Literature Lecture Series, CMSA, Harvard University, Cambridge (23 November) Noncommutative Geometry, the Spectral Aspect (video conference)
Switzerland 19e colloque Wright pour la science, Université de Genève (5 November) La musique des formes (video conference)
United States Number Theory Seminar, Columbia University, New York (8 October) The Semi local Adele Class Space and Weil Positivity (video seminar)
Éditor quondam of: Communications in Mathematical Physics Advances in Mathematics Journal of Functional Analysis Journal of Operator Theory Journal of Ergodic Theory K theory Letters in Mathematical Physics Les Publications Mathématiques de l IHES Journal of Noncommutative Geometry