Claudio Procesi

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Claudio Procesi (born March 31, 1941 in Rome ) is an Italian mathematician who studies algebra.

Procesi studied at the University of Rome, where he graduated in 1963 (Laurea). In 1966 he received his doctorate from the University of Chicago with Israel Herstein (On rings with polynomial identities). From 1966 he was assistant at the University of Rome, from 1970 associate professor at the University of Lecce and from 1971 at the University of Pisa . From 1973 he was full professor in Pisa and from 1975 full professor at the University of La Sapienza in Rome. Among other things, he was visiting scholar at Columbia University (1969–1970), at UCLA (1973/74), at IMPA , at the Massachusetts Institute of Technology (1991), in Grenoble, at Brandeis University (1981/2) at the University of Texas at Austin (1984), at the Institute for Advanced Study (including 1994), at MSRI (including 1992), at the ICTP in Trieste, at the École normal supérieure .

Procesi deals with non-commutative algebra, algebraic groups, invariant theory, counting geometry, infinite dimensional algebras and quantum groups, polytopes, braid groups, cyclic homology, geometry of the orbits of compact groups, arrangements of subspaces and tori.

Procesi proved that the polynomial invariants of the n × n matrices over a field K can all be described as consequences of the Cayley-Hamilton theorem , which says that a square matrix satisfies its own characteristic equation, where the coefficients are represented by traces of external powers the matrix can be expressed.

In 1981 he received the mathematics medal of the Accademia dei Lincei , of which he has been a member since 1987. In 1986 he received the Feltrinelli Prize in Mathematics. In 1978 he was invited speaker at the International Congress of Mathematicians (ICM) in Helsinki ( Young diagrams, standard monomials and invariant theory ). From 2007 to 2010 he is Vice President of the International Mathematical Union . He was editor of the Duke Mathematical Journal, the Journal of Algebra, the Communications in Algebra, and the Advances in Mathematics. He was on the Abel Prize Committee (2005/06 and 2006/07) and on the Algebra Committees for the ICM in 1986 and 1994. In 2015 he was elected to the Academia Europaea .

Fonts

  • Rings with polynomial identities (= Pure and Applied Mathematics. 17). Dekker, New York NY et al. 1973, ISBN 0-8247-6015-8 .
  • A primer on invariant theory (= Brandeis Lecture Notes. 1). Notes by Giandomenico Boffi. Brandeis University, Waltham MA 1983, (greatly expanded in his book on Lie groups).
  • with Corrado de Concini : Quantum groups (= Preprints di Matematica. 1993, 6, ZDB -ID 1103838-X ). Scuola normal superiore, Pisa 1993
  • with Hanspeter Kraft : Classical Invariant Theory. A primer. Preliminary Version, July 1996, ( pdf ).
  • Lie groups. An approach through invariants and representations. Springer, New York NY 2007, ISBN 978-0-387-26040-2 .
  • with Corrado de Concini: Topics in Hyperplane Arrangements, Polytopes and Box-Splines. Springer, New York NY et al. 2010, ISBN 978-0-387-78962-0 .

Web links

Individual evidence

  1. ↑ Invariant theory of x matrices. In: Advances in Mathematics . Volume 19, No. 3, 1976, pp. 306-381, doi : 10.1016 / 0001-8708 (76) 90027-X .
  2. ^ Edward Formanek: Polynomial identities and the Cayley-Hamilton Theorem. In: The Mathematical Intelligencer . Volume 11, No. 1, 1989, pp. 37-39, doi : 10.1007 / BF03023774 .
personal data
SURNAME Procesi, Claudio
BRIEF DESCRIPTION Italian mathematician and university professor
DATE OF BIRTH March 31, 1941
PLACE OF BIRTH Rome