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| Corrado De Concini | |
|---|---|
| Name | Corrado De Concini |
| Birth date | 1944 |
| Birth place | Florence, Italy |
| Nationality | Italian |
| Fields | Algebraic geometry, Mathematical physics, Representation theory |
| Workplaces | University of Rome Tor Vergata, Scuola Normale Superiore, International Centre for Theoretical Physics |
| Alma mater | University of Pisa |
| Doctoral advisor | Giovanni Battista Rinaldi |
| Known for | De Concini–Procesi model, quantum groups, algebraic groups |
| Awards | Caccioppoli Prize, Premio Nazionale Presidente della Repubblica |
Corrado De Concini is an Italian mathematician noted for influential work in algebraic geometry, representation theory, and mathematical physics. His research has produced fundamental techniques in the study of algebraic groups, quantum groups, and compactifications, impacting collaborations across institutions such as the Scuola Normale Superiore, the International Centre for Theoretical Physics, and the University of Rome Tor Vergata. De Concini's body of work connects classical problems in Lie groups with modern developments in knot theory, integrable systems, and moduli spaces.
Born in Florence, De Concini completed his undergraduate and doctoral studies at the University of Pisa, where he studied under mentors in the tradition of Italian algebraic geometry associated with the Scuola di Pisa and figures such as Enzo Martinelli and Federigo Enriques. During his formative years he interacted with contemporaries from the University of Rome La Sapienza and research centers in Milan and Padua, attending seminars influenced by the work of Giuseppe Veronese and later generations including researchers connected to the Institut des Hautes Études Scientifiques and the École Normale Supérieure. His doctoral work addressed problems tied to the structure of algebraic varieties and actions of linear algebraic groups.
De Concini held positions at leading Italian and international institutions: he served on the faculty at the Scuola Normale Superiore, was a professor at the University of Rome Tor Vergata, and collaborated with the International Centre for Theoretical Physics in Trieste. He spent visiting appointments at the Massachusetts Institute of Technology, the Institut des Hautes Études Scientifiques, and research visits to departments at the Max Planck Institute for Mathematics and the University of Cambridge. De Concini also participated in programs at the Mathematical Sciences Research Institute and contributed to activities at the European Mathematical Society and the American Mathematical Society.
De Concini is best known for the De Concini–Procesi model of wonderful compactifications developed with Claudio Procesi, which clarified the geometry of subspace arrangements and compactifications of adjoint orbits in semisimple Lie algebras. He made foundational contributions to the theory of quantum groups alongside researchers working in the tradition of Drinfeld and Vladimir G. Drinfeld, connecting representation-theoretic aspects to invariants in knot theory and 3-manifold topology explored by scholars linked to the Jones polynomial and the Witten–Reshetikhin–Turaev invariants. De Concini's work on the representation theory of algebraic groups and on the structure of rings of differential operators extended methods associated with Bernstein, Gelfand, and Gelfand–Kirillov dimension techniques.
His collaborations with figures from the Russian school and with specialists associated with the Institute for Advanced Study yielded advances in the study of Poisson structures, quantum cohomology, and connections to the Toda lattice and other integrable systems studied by researchers from the Korteweg–de Vries tradition. De Concini contributed to the understanding of the cohomology of configuration spaces, moduli of local systems, and relationships between Mumford’s geometric invariant theory and modern approaches to compactification.
De Concini received national and international recognition including the Caccioppoli Prize and the Premio Nazionale Presidente della Repubblica, and he has been invited to deliver lectures at major gatherings such as the International Congress of Mathematicians, the European Congress of Mathematics, and workshops organized by the Clay Mathematics Institute. He has been a fellow or visiting scholar at institutions affiliated with the Italian National Research Council and honored by societies including the Accademia Nazionale dei Lincei and the European Academy of Sciences for contributions to mathematics.
- De Concini, C.; Procesi, C., "Wonderful models of subspace arrangements", a foundational monograph advancing compactification techniques related to arrangement theory and intersection cohomology. - De Concini, C.; Kac, V.; Procesi, C., papers on representations of quantum groups, linking to the work of Victor Kac, Michio Jimbo, and G. Lusztig on quantized enveloping algebras. - De Concini, C.; Salvetti, M., contributions on the topology of configuration spaces, building on methods from Arnold and Fadell. - Collections of lecture notes and edited volumes from symposia at the International Centre for Theoretical Physics and conferences connected to the Società Italiana di Matematica and the European Mathematical Society.
Throughout his career De Concini supervised doctoral students and postdoctoral researchers who went on to positions at the University of Milan, Princeton University, the University of Oxford, and national institutes such as the Istituto Nazionale di Alta Matematica. He taught courses in algebraic geometry and representation theory inspired by traditions from the Scuola Normale Superiore and integrated contemporary topics from the Institute for Advanced Study and the Mathematical Sciences Research Institute into graduate curricula. De Concini organized summer schools with collaborators from the International Centre for Theoretical Physics and international programs involving the European Research Council.
De Concini's legacy spans a generation of mathematicians working at the intersection of geometry and mathematical physics, influencing research programs at the Scuola Normale Superiore, the International Centre for Theoretical Physics, and many European and American departments. His collaborative approach fostered ties among researchers connected to the Russian Academy of Sciences, the Max Planck Society, and Italian academies like the Accademia delle Scienze di Torino. The techniques he developed continue to inform current work in quantum topology, moduli theory, and the geometry of Lie groups, and his students and collaborators maintain active research networks across institutions including the University of Cambridge, Harvard University, and the École Polytechnique.
Category:Italian mathematicians Category:Algebraic geometers