95 research outputs found
On the Calogero-Moser space associated with dihedral groups
No full textInternational audienceUsing the geometry of the associated Calogero-Moser space, R. Rouquier and the author have attached to any finite complex reflection group several notions (Calogero-Moser left, right or two-sided cells, Calogero-Moser cellular characters), completing the notion of Calogero-Moser families defined by Gordon. If moreover is a Coxeter group, they conjectured that these notions coincide with the analogous notions defined using the Hecke algebra by Kazhdan and Lusztig (or Lusztig in the unequal parameters case). In the present paper, we aim to investigate these conjectures whenever is a dihedral group
Computational aspects of Calogero-Moser spaces
No full textInternational audienceWe present a series of algorithms for computing geometric and representationtheoretic invariants of Calogero-Moser spaces and rational Cherednik algebras associated with complex reflection groups. Especially, we are concerned with Calogero-Moser families (which correspond to the -fixed points of the Calogero-Moser space) and cellular characters (a proposed generalization by Rouquier and the first author of Lusztig's constructible characters based on a Galois covering of the Calogero-Moser space). To compute the former, we devised an algorithm for determining generators of the center of the rational Cherednik algebra (this algorithm has several further applications), and to compute the latter we developed an algorithmic approach to the construction of cellular characters via Gaudin operators. We have implemented all our algorithms in the Cherednik Algebra Magma Package (CHAMP) by the second author and used this to confirm open conjectures in several new cases. As an interesting application in birational geometry we are able to determine for many exceptional complex reflection groups the chamber decomposition of the movable cone of a Q-factorial terminalization (and thus the number of non-isomorphic relative minimal models) of the associated symplectic singularity
Computational aspects of Calogero-Moser spaces
No full textWe present a series of algorithms for computing geometric and
representation-theoretic invariants of Calogero-Moser spaces and rational
Cherednik algebras associated to complex reflection groups. Especially, we are
concerned with Calogero-Moser families (which correspond to the
-fixed points of the Calogero-Moser space) and cellular
characters (a proposed generalization by Rouquier and the first author of
Lusztig's constructible characters based on a Galois covering of the
Calogero-Moser space). To compute the former, we devised an algorithm for
determining generators of the center of the rational Cherednik algebra (this
algorithm has several further applications), and to compute the latter we
developed an algorithmic approach to the construction of cellular characters
via Gaudin operators. We have implemented all our algorithms in the Cherednik
Algebra Magma Package (CHAMP) by the second author and used this to confirm
open conjectures in several new cases. As an interesting application in
birational geometry we are able to determine for many exceptional complex
reflection groups the chamber decomposition of the movable cone of a
-factorial terminalization (and thus the number of non-isomorphic
relative minimal models) of the associated symplectic singularity.Comment: 42 page
Classical hydrodynamics of Calogero-Sutherland models
No full textThe Calogero Sutherland model is system of particle moving on a line and interacting with long-range
forces. In this thesis we consider the classical case where the particles may or may not possess a spin degree of freedom. We demonstrate the intimate connection between the Calogero-Sutherland system and the Benjamin Ono equation. We then directly obtain a classical hydrodynamical limit of both the spineless and spinful Calogero system. The continuum limit of the spinless system is known to exhibit solition solutions.
We show numerically that the spinful system also exhibits localized solutions with the soliton property. This
is a strong evidence that the continuum spin-Calogero model is exactly integrable.Item withdrawn by Laura Spradlin ([email protected]) on 2014-07-21T22:07:40Z
Item was in collections:
University of Illinois Theses & Dissertations (ID: 1)
No. of bitstreams: 2
thesis_Lei_Xing.pdf: 1820398 bytes, checksum: bc21ce5c13ad47d9e5c6786d0694a567 (MD5)
dissertation_Lei_Xing.pdf: 1820723 bytes, checksum: 5114afb422a47701f09721e20066ee10 (MD5)Made available in DSpace on 2015-01-21T19:58:50Z (GMT). No. of bitstreams: 1
Lei_Xing.pdf: 1820689 bytes, checksum: 9c67500f26f00003c20ac323e9966226 (MD5)Embargo set by: Seth Robbins for item 73233
Lift date: 2017-01-21T19:59:39Z
Reason: Author requested closed access (OA after 2yrs) in Vireo ETD systemLimited Restriction Lifted for Item 73233 on 2017-01-22T10:15:29Z
The impact of Western beauty ideals on the lives of women and men: A sociocultural perspective
No full textAccording to a recent survey of 3,300 girls and women across 10 countries, 90 per cent of all women aged 15 to 64 worldwide want to change at least one aspect of their physical appearance, with body weight ranking the highest (Etcoff, Orbach, Scott, & D’Agostino, 2004). This finding suggests that women’s anxiety about their appearance is a global phenomenon, observed in every country studied from Saudi Arabia to the United States. Beyond body dissatisfaction, a stunning 67 per cent of all women aged 15 to 64 worldwide reported that they actually withdraw from life-engaging, life-sustaining activities due to feeling badly about their looks. These activities include giving an opinion, meeting friends, exercising, going to work, going to school, dating, and going to the doctor
Two new solvable dynamical systems of goldfish type
No full textTwo new solvable dynamical systems of goldfish type are identified, as well as their isochronous variants. The equilibrium configurations of these isochronous variants are simply related to the zeros of appropriate Laguerre and Jacobi polynomials. © 2010 The Author(s)
Appunti per lo stucco «de marmoro» a Bologna nei primi decenni del Cinquecento (con un'ipotesi su Baldassarre Peruzzi)
No full textThis article examines the diffusion of the technique of stucco made of marble powder in Bologna in the first decades of the sixteenth century through unpublished documents. The author argues that architect Baldassarre Peruzzi played a crucial role in the diffusion of this technique in Northern Italy
Viterbo, the civic museum
No full textThe intervention can be delineated in two distinct, but cleary related stages: the first consist in the restoration of the monument by means of a series of solutions, the second is of an exhibitive character, in which the architectural poetic of the author is expressed, consisting of contemporary insertions. The exhibitive vocation of the objects is highlighted by the creation of supports with a minimal, plastic profile, with a distinct and clear tonality. The new architectural plan was realised with the aid of simple, white, circle-section metal, which envelop and present the paintings. The very chromatic schemata of the finishings of the surfaces, grey and blue, ease the reading of the paintings. Minissi had often proposed the suspended and transparent support, so as to offer the maximum visibility of the oeuvre to be examined while, at the same time, reducing to the bare necessities the supports "planted" on the ground in small environments
Sistema Interamericano : las garantías mínimas del debido proceso aplicadas a los procedimientos migratorios
No full textAbstract: This article analyses the scope of the effective protection of migrant people in the Inter-American Human Rights System. For this purpose, the author develops the right to due process as a dinamic and inclusive requirement for any process in which migrants are involved, in attention of their particular vulnerability. Further on, he details the minimum guarantees that the Inter-American Court of Human Rights has set for the protection of migrants in any kind of process. In addition, the author concentrates on some specific issues that arise within extradition and deportation procedures. Finally, the author examines the non-refoulment principle and the collective expulsions prohibition.Fil: Pizzolo, Calogero. Universidad de Buenos Aires. Facultad de Derecho. Cátedra Derecho de la Integración. Buenos Aires, ArgentinaFil: Pizzolo, Calogero. Universidad de Buenos Aires. Facultad de Derecho. Cátedra Elementos de Derecho Constitucional. Buenos Aires, ArgentinaFil: Pizzolo, Calogero. Universidad de Buenos Aires. Facultad de Derecho. Cátedra Elementos de Derechos Humanos y Garantías. Buenos Aires, ArgentinaFil: Pizzolo, Calogero. Universidad de Buenos Aires. Facultad de Derecho. Centro de Excelencia Jean Monnet. Cátedra Derecho Público Europeo. Buenos Aires, ArgentinaSegunda época - Antigua Revista Electrónica de la Cátedra Jean Monnet (2013 - 2019). -- Cofinanciada por la Unión Europea (UE). -- Programa Erasmus, acrónimo de European Region Action Scheme for the Mobility of University Students (Plan de Acción de la Comunidad Europea para la Movilidad de Estudiantes Universitarios). -- "Este estudio se ha desarrollado con el apoyo del programa Erasmus+ de la Unión Europea en el marco del proyecto para el desarrollo del Centro de Excelencia Jean Monnet "Integración Regional y Derechos Humanos" en la Facultad de Derecho de la Universidad de Buenos Aires (Acuerdo Nr. 2018-3245/043-00, Proyecto: 611111-EPP-1-2019-1-AR-EPPJMO-CoE).". -- Resumen: El presente artículo analiza el alcance de la tutela efectiva de las personas migrantes dentro del Sistema Interamericano de Derechos Humanos. En consecuencia, el autor desarrolla la garantía al debido proceso legal como noción dinámica e integradora en procedimientos donde interviene un grupo particularmente vulnerable. Se detalla el elenco de garantías mínimas que ha especificado la Corte Interamericana de Derechos Humanos para la protección de las personas migrantes. También, el autor se detiene en algunos problemas particulares que surgen en el marco de procedimientos de extradición y deportación. Por último, vienen tratados el principio de no devolución (nonrefoulement) y la prohibición de expulsiones colectivas en relación con las garantías mínimas en los procedimientos migratorios
PT deformation of Calogero-Sutherland models
No full textCalogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT symmetry. The interaction potential gets completely regularized, which adds to the energy spectrum an infinite tower of previously non-normalizable states. For integral values of the coupling, extra degeneracy occurs and a nonlinear conserved supersymmetry charge enlarges the ring of Liouville charges. The integrability structure is maintained. We discuss the AN −1-type models in general and work out details for the cases of A2 and G2. © 2019, The Author(s)
- …
