Papers by Corrado De Concini
Mathematical Research Letters, 1996
Advances in Mathematics, Aug 1, 1999
Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 1995
accord avec les conditions générales d'utilisation (). Toute utilisation commerciale ou impressio... more accord avec les conditions générales d'utilisation (). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques
arXiv (Cornell University), Apr 20, 2022
Compositio Mathematica, 1977
L'accès aux archives de la revue « Compositio Mathematica » () implique l'accord avec les conditi... more L'accès aux archives de la revue « Compositio Mathematica » () implique l'accord avec les conditions générales d'utilisation (). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques
Transactions of the Moscow Mathematical Society, Dec 1, 2017
Let g be a simple Lie algebra with Cartan subalgebra h and Weyl group W . We build up a graded is... more Let g be a simple Lie algebra with Cartan subalgebra h and Weyl group W . We build up a graded isomorphism ( h ⊗ H ⊗ h) W → ( g ⊗ g) g of ( g) g ∼ = S(h) W -modules, where H is the space of W -harmonics. In this way we prove an enhanced form of a conjecture of Reeder for the adjoint representation.
Advances in Mathematics, Jul 1, 1981
Ergodic Theory and Dynamical Systems, Mar 1, 1987
We characterize the algebraic-geometric potentials for the Schrodinger and AKNS operators using t... more We characterize the algebraic-geometric potentials for the Schrodinger and AKNS operators using the Weyl m-functions and the Floquet exponent for these operators. The characterization is this: among random ergodic Schrodinger operators, the alebraic-geometric potentials are those for which (i) the spectrum is a union of finitely many intervals (or bands); (ii) the Lyapounov exponent vanishes on the spectrum.
Transformation Groups, Jun 1, 1999
The symmetric varieties considered in this paper are the quotients G/H, where G is an adjoint sem... more The symmetric varieties considered in this paper are the quotients G/H, where G is an adjoint semi-simple group over a field k of characteristic ~ 2, and H is the fixed point group of an involutorial automorphism of G which is defined over k. In the case k = C, De Concini and Procesi (1983) constructed a "wonderful" compactification of G/H. We prove the existence of such a compactification for arbitrary k. We also prove cohomology vanishing results for line bundles on the compactification.
Birkhäuser Basel eBooks, 1994
Advances in Mathematics, May 1, 2013
We introduce and study a notion of analytic loop group with a Riemann-Hilbert factorization relev... more We introduce and study a notion of analytic loop group with a Riemann-Hilbert factorization relevant for the representation theory of quantum affine algebras at roots of unity Uǫ(ĝ) with non trivial central charge. We introduce a Poisson structure and study properties of its Poisson dual group. We prove that the Hopf-Poisson structure is isomorphic to the semi-classical limit of the center of Uǫ(ĝ) (it is a geometric realization of the center). Then the symplectic leaves, and corresponding equivalence classes of central characters of Uǫ(ĝ), are parameterized by certain G-bundles on an elliptic curve.
Moscow Mathematical Journal, 2008
Springer eBooks, 2004
This paper is divided into two parts. The first part is a brief survey, accompanied by concrete e... more This paper is divided into two parts. The first part is a brief survey, accompanied by concrete examples, on the main results of the papers (De Concini and Gaiffi in Adv
In this lecture I shall report on some joint work with Procesi, Reshetikhin and Rosso .
arXiv (Cornell University), Dec 1, 2003
Let F be a field and Gr(i, F n ) be the Grassmannian of idimensional linear subspaces of Glover, ... more Let F be a field and Gr(i, F n ) be the Grassmannian of idimensional linear subspaces of Glover, Homer and Stong showed that there are no continuous nesting maps Gr(i, C n ) -→ Gr(j, C n ) except for a few obvious ones. We prove a similar result for algebraic nesting maps Gr(i, F n ) -→ Gr(j, F n ), where F is an algebraically closed field of arbitrary characteristic. For i = 1 this yields a description of the algebraic subbundles of the tangent bundle to the projective space P n F .
arXiv (Cornell University), Jul 1, 2011
Dedicated to the memory of I. M. Gelfand O cara piota mia che sì t'insusi, che come veggion le te... more Dedicated to the memory of I. M. Gelfand O cara piota mia che sì t'insusi, che come veggion le terreni menti, non capère in triangol due ottusi, così vedi le cose contingenti anzi che sieno in sé, mirando il punto a cui tutti li tempi son presenti;
European journal of mathematics, Jul 13, 2020
This paper is divided into two parts. The first part is a brief survey, accompanied by concrete e... more This paper is divided into two parts. The first part is a brief survey, accompanied by concrete examples, on the main results of the papers (De Concini and Gaiffi in Adv
Advances in Mathematics, Mar 1, 1978
The space FO By the word space we mean a topological space with the homotopy type of a CW-complex... more The space FO By the word space we mean a topological space with the homotopy type of a CW-complex. Let BO be a classifying space« for example the infinite real grasmanians, for the functor KO defined on compact spaces, i.e.KO(X)-/X,BO] for X compact. Let N((KO)n ,KO) denote the set of natural tran sformations (K&) ----}K0. We have: Lemma 1 . N((KO)n ,KO) ^ [jBOn ,BQ] Proof. If we take the Grasmanian model, then (B0)n -lin (G )n , where G denotes the real --m ,s m , s m,s Grasmanian of m-dimensional subspaces of a vector space of dimension m+s. Then, if we consider the Milnor exact sequence 0 ---V l i m K O 1 ((G J n )---->^0n ,B0l-->lim KO((G )n )---¿ 0 m,s c fr-zr m *s where e " denotes the first derived functor of lim,
Proceedings of symposia in pure mathematics, 1991
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Papers by Corrado De Concini