104,544 research outputs found
Factorization in generalized Calogero-Moser spaces
No full textUsing a recent construction of Bezrukavnikov and Etingof we prove that there is a factorization of the Etingof-Ginzburg sheaf on the generalized Calogero-Moser space associated to a complex reflection group. In the case W = S_n, this confirms a conjecture of Etingof and Ginzburg
On singular Calogero-Moser spaces
No full textUsing combinatorial properties of complex reflection groups, we show that the generalised Calogero-Moser space associated to the centre of the corresponding rational Cherednik algebra is singular for all values of its deformation parameter c if and only if the group is different from the wreath product and the binary tetrahedral group. This result and a theorem of Ginzburg and Kaledin imply that there does not exist a symplectic resolution of the singular symplectic variety h+h*/W outside of these cases; conversely we show that there exists a symplectic resolution for the binary tetrahedral group (Hilbert schemes provide resolutions for the wreath product case)
Generalized Calogero-Moser spaces and rational Cherednik algebras
No full textThe subject of this thesis is the interplay between the geometry and the representation theory of rational
Cherednik algebras at t = 0. Exploiting this relationship, we use representation theoretic techniques to
classify all complex re
ection groups for which the geometric space associated to a rational Cherednik
algebra, the generalized Calogero-Moser space, is singular. Applying results of Ginzburg-Kaledin and
Namikawa, this classification allows us to deduce a (nearly complete) classification of those symplectic
reflection groups for which there exist crepant resolutions of the corresponding symplectic quotient singularity.
Then we explore a particular way of relating the representation theory and geometry of a rational
Cherednik algebra associated to a group W to the representation theory and geometry of a rational
Cherednik algebra associated to a parabolic subgroup of W. The key result that makes this construction
possible is a recent result of Bezrukavnikov and Etingof on completions of rational Cherednik algebras.
This leads to the definition of cuspidal representations and we show that it is possible to reduce the
problem of studying all the simple modules of the rational Cherednik algebra to the study of these
nitely many cuspidal modules. We also look at how the Etingof-Ginzburg sheaf on the generalized
Calogero-Moser space can be "factored" in terms of parabolic subgroups when it is restricted to particular
subvarieties. In particular, we are able to confirm a conjecture of Etingof and Ginzburg on
"factorizations" of the Etingof-Ginzburg sheaf.
Finally, we use Clifford theoretic techniques to show that it is possible to deduce the Calogero-Moser partition of the irreducible representations of the complex reflection groups G(m; d; n) from the
corresponding partition for G(m; 1; n). This confirms, in the case W = G(m; d; n), a conjecture of
Gordon and Martino relating the Calogero-Moser partition to Rouquier families for the corresponding
cyclotomic Hecke algebra
The Calogero-Moser partition for G(m,d,n)
No full textWe show that it is possible to deduce the Calogero-Moser partition of the irreducible representations of the complex reflection groups G(m,d,n) from the corresponding partition for G(m,1,n). This confirms, in the case W = G(m,d,n), a conjecture of Gordon and Martino relating the Calogero-Moser partition to Rouquier families for the corresponding cyclotomic Hecke algebra
“Una specie di piccolo Museo o Galleria”. L’importanza della raccolta stefaniana e la necessità di un catalogo
No full textIl saggio ripercorre le vicende storiche che hanno portato alla formazione del Museo della basilica di Santo Stefano e Bologna e fornisce molte notizie sulle opere che vi sono contenut
Il rapporto tra Guido Calogero e Ugo Spirito attraverso il carteggio(1926-1945)
No full textIl saggio analizza attraverso il carteggio(1926-1978)il rapporto intellettuale e politico tra Calogero e Spirito. Le questioni centrali del confronto tra i due furono il rapporto con la filosofia e le concezioni politiche di Gentile; i diversi giudizi sulla politica e sull'economia; le diverse prospettive filosofich
Documenti per Girolamo da Treviso a Bologna (con una nuova data per Sabba da Castiglione)
No full textUnpublished documents provide new and valuable information on the career of the painter Girolamo da Treviso (d. ca. 1544). Notably, the overlooked date of a drawing in the Uffizi is a relevant new piece of information related to Girolamo's fresco in the church of the Commenda in Faenza. The celebrated man of letters Sabba da Castiglione commissioned this fresco from Girolamo in 1529, but the painter completed it only four years later. Two unpublished documents related to Girolamo's collaboration with stonecutters in 1531 and 1533 shed light on the architectural taste of Bolognese patrons around 1530
Presentazione
No full textNuovi approcci ascrivibili all’ambito dei visual studies sembrano avere soppiantato quelli della storia dell’arte, che resta invece strumento fondamentale anche per indagare tematiche più trasversali, come l’arcano rapporto
che lega l’immagine e la parola. In questa prospettiva, la storia dell’arte può
liberarsi dai suoi vincoli tradizionali e aprirsi all’esplorazione di altri domini culturali, da quello letterario a quello filosofico, per analizzare le immagini “latenti”, ossia le traduzioni verbali di oggetti figurativi o la sublimazione in termini
letterari e poetici di opere visuali già prodotte. I contributi contenuti in questo
volume tentano perciò di indagare, da diversi punti di vista, come i meccanismi
propri del visivo possano influenzare o determinare le forme verbali, ma anche
i modi in cui queste ultime riescono talvolta ad accostarsi e tradurre il contenuto ineffabile delle immagini artistiche
Guido Calogero e la rivista "liberalsocialismo"
No full textPolitical Thought of Guido Calogero after second world war in Ital
G. Martino Spanzotti, un romanzo testoriano
No full textIl saggio analizza il libro di Giovanni Testori sul pittore casale Giovanni Martino Spanzott
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