Parity sheaves JUTEAU, DANIEL; MAUTNER, CARL; WILLIAMSON, GEORDIE
Journal of the American Mathematical Society,
10/2014, Letnik:
27, Številka:
4
Journal Article
Recenzirano
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Given a stratified variety X If X Our framework applies to many stratified varieties arising in representation theory such as generalised flag varieties, toric varieties, and nilpotent cones. ...Moreover, parity sheaves often correspond to interesting objects in representation theory. For example, on flag varieties we recover in a unified way several well-known complexes of sheaves. For one choice of parity function we obtain the indecomposable tilting perverse sheaves. For another, when using coefficients of characteristic zero, we recover the intersection cohomology sheaves and in arbitrary characteristic the special sheaves of Soergel, which are used by Fiebig in his proof of Lusztig's conjecture.
This volume takes cue from the idea that the thought of no philosopher can be understood without considering it as the result of a lively dialogue with other thinkers. On this ground, it addresses ...the ways in which René Descartes’s philosophy evolved and was progressively understood by intellectuals from different contexts and eras, either by considering direct interlocutors of Descartes such as Isaac Beeckman and Elisabeth of Bohemia, thinkers who developed upon his ideas and on particular topics as Nicolas Malebranche or Thomas Willis, those who adapted his overall methodology in developing new systems of knowledge as Johannes Clauberg and Pierre-Sylvain Régis, and contemporary thinkers from continental and analytic traditions like Emanuele Severino and Peter Strawson.
Dentro de la historia efectual del cartesianismo, la reflexión de Mary Astell a propósito del verdadero yo se descubre como una intervención relevante en la discusión sobre la definición del alma y ...su relación con el cuerpo. El trabajo se centra en la posición que adopta esta autora frente al dualismo y muestra cómo responde a un interés práctico: consolidar una estrategia especulativa que permita a las mujeres constituirse como sujetos autónomos contra la tiranía de la costumbre.
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DOBA, IZUM, KILJ, NUK, PILJ, PNG, SAZU, SIK, UILJ, UKNU, UL, UM, UPUK
En la obra de Descartes se verifica que la razón construye la realidad por vía de negación, limitando lo indeterminado e infinito desde la finitud; reduciendo gra dualmente lo complicado y oscuro a ...lo simple. Al desplegar las consecuencias del prin cipio lógico de identidad que rige al entendimiento, el valor del infinito que desde la Antigüedad griega fue negativo pasa a ser positivo. El problema del infinito aflora ante la soledad del cogito, surgida en el itinerario que en uso de la libertad trazan las Medi taciones acerca de la filosofía primera. De este modo, tiene lugar una convergencia de la filosofía especulativa y la filosofía práctica, ya que para Descartes el error deja de ser un acto del entendimiento solo y pasa a involucrar a la libertad. El error lógico que constituye la autorreferencia, según lo explica Bertrand Russell, trata de ser evitado por Descartes con el recurso al dios infinito en un plano ontológico distinto del que ocupa el Ser en la tradición metafísica que viene de la Antigüedad.
CORDEMOY: IS HE A CARTESIAN OUTSIDER? DESGABETS’S INTERPRETATION OF CORDEMOY’S ATOMISM Invited editor: Siegrid AGOSTINI Abstract. This paper, dedicated to Gérauld de Cordemoy, pursues a dual purpose: ...first, to reconstruct a specific conflicting situation which involves Claude Clerselier and Robert Desgabets by stressing the role the three man played within Cartesianism (I); second, to emphasize the role played by Desgabets himself in a letter to Clerselier in order to demonstrate that, because of his atomistic position, Cordemoy can be considered an ‗outsider‘ of Cartesianism (II). Actually, Cordemoy was the only Cartesian scholar to approve Atomism as it appears clearly in the above mentioned letter which is published integrally at the end of the present paper (III. Appendix).
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