Georges Skandalis ( el, Γεώργιος Σκανδάλης; born 5 November 1955, in

Athens Athens ( ; el, Αθήνα, Athína ; grc, Ἀθῆναι, Athênai (pl.) ) is both the capital and largest city of Greece. With a population close to four million, it is also the seventh largest city in the European Union. Athens dominates ...

) is a Greek and French mathematician, known for his work on

noncommutative geometry Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of ''spaces'' that are locally presented by noncommutative algebras of functions (possibly in some ge ...

and

operator algebra In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study of ...

s. After following

secondary education Secondary education or post-primary education covers two phases on the International Standard Classification of Education scale. Level 2 or lower secondary education (less commonly junior secondary education) is considered the second and final pha ...

and ''classes préparatoires scientifiques'' in the parisian ''

Lycée Louis-le-Grand The Lycée Louis-le-Grand (), also referred to simply as Louis-le-Grand or by its acronym LLG, is a public Lycée (French secondary school, also known as sixth form college) located on rue Saint-Jacques in central Paris. It was founded in the ...

'', Skandalis studied from 1975 at 1979 at ''l’École Normale Supérieure de la rue d’Ulm'' with ''

agrégation In France, the ''agrégation'' () is a competitive examination for civil service in the French public education system. Candidates for the examination, or ''agrégatifs'', become ''agrégés'' once they are admitted to the position of ''professe ...

'' in 1977. From 1979 he was an at the

University of Paris VI Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public research university in Paris, France, from 1971 to 2017. The university was located on the Jussieu Campus in the La ...

, where under

Alain Connes Alain Connes (; born 1 April 1947) is a French mathematician, and a theoretical physicist, known for his contributions to the study of operator algebras and noncommutative geometry. He is a professor at the , , Ohio State University and Vande ...

in 1986 he earned his doctorate (''doctorat d´État''). From 1980 to 1988 he was ''attaché de recherches'' and then ''chargé de recherches'' at

CNRS The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 ...

and as of 1988 Professor at the

University of Paris VII A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, t ...

(in the ''Institut de Mathématiques de Jussieu''). He works on operator algebras,

K-theory In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometry, ...

of operator algebras, groupoids, locally compact

quantum group In mathematics and theoretical physics, the term quantum group denotes one of a few different kinds of noncommutative algebras with additional structure. These include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebras) ...

s and singular

foliation In mathematics (differential geometry), a foliation is an equivalence relation on an ''n''-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension ''p'', modeled on the decomposition of ...

s. In 2002 with

Nigel Higson Nigel David Higson (born 1963) is a Canadian math professor at Pennsylvania State University who received the 1996 Coxeter–James Prize. His doctorate came from Dalhousie University in 1985, under the supervision of Peter Fillmore. He works in the ...

and

Vincent Lafforgue Vincent Lafforgue (born 20 January 1974) is a French mathematician who is active in algebraic geometry, especially in the Langlands program, and a CNRS " Directeur de Recherches" at the Institute Fourier in Grenoble. He is the younger brother o ...

, Skandalis published counterexamples to a generalization of the

Baum–Connes conjecture In mathematics, specifically in operator K-theory, the Baum–Connes conjecture suggests a link between the operator K-theory, K-theory of the reduced C*-algebra of a group theory, group and the K-homology of the classifying space of proper act ...

(''i.e.'' Baum-Connes conjecture with coefficients) in various special cases, based on work by Mikhail Gromov. In 1990 Skandalis was an invited speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

Kyoto Kyoto (; Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in Japan. Located in the Kansai region on the island of Honshu, Kyoto forms a part of the Keihanshin metropolitan area along with Osaka and Kobe. , the ci ...

(''Operator Algebras and Duality''). He was a member of Bourbaki.

Selected works

* with

Joachim Cuntz Joachim Cuntz (born 28 September 1948 in Mannheim) is a German mathematician, currently a professor at the University of Münster. Work Joachim Cuntz has made fundamental contributions to the area of C*-algebras and to the field of noncommut ...

, Boris Tsygan
''Cyclic homology in non-commutative geometry''
(= ''Encyclopaedia of Mathematical Sciences. Operator Algebras and Non-Commutative Geometry.'' vol. 121). Springer, Berlin et al. 2004, (pp. 115–134: Skandalis: ''Noncommutative Geometry, the Transverse Signature Operator, and Hopf Algebras (after A. Connes and H. Moscovici).'' Translated by Raphaël Ponge and Nick Wright. ). * with

Gennadi Kasparov Gennadi ( gr, Γεννάδι) is a Greek village, seat of the municipal unit of South Rhodes, on the island of Rhodes, South Aegean region. In 2011 its population was 671. Overview The village is 64 km from the town of Rhodes and 27 km from anci ...

: ''Groups acting properly on "bolic“ spaces and the Novikov conjecture.'' In: ''

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...

.'' vol. 158, no. 1, 2003, pp. 165–206, . * with Jean Louis Tu and Guoliang Yu: ''The coarse Baum-Connes conjecture and groupoids.'' In: ''Topology.'' vol. 41, no. 4, 2002, , pp. 807–834, .

References

External links

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{{DEFAULTSORT:Skandalis, Georges 1955 births École Normale Supérieure alumni Pierre and Marie Curie University alumni Nicolas Bourbaki 20th-century French mathematicians 21st-century French mathematicians Greek emigrants to France Living people