Dubrovin boris (10 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equivalence, for a Fano variety, between the semisimplicity condition of its quantum cohomology and the existence of full exceptional collections in its derived category of coherent sheaves. Additionally, in its quantitative form, the conjecture specifies an explicit relation between the monodromy data of the quantum cohomology, characteristic classes, and exceptional collections. A refined version of the conjecture is introduced, with a particular focus on the central connection matrix, and a precise link is established between this refined conjecture and -conjecture II, as proposed by S. Galkin, V. Golyshev, and H. Iritani. By performing explicit calculations of the monodromy data, the validity of the refined conjecture for all complex Grassmannians G(r,k) is demonstrated. Intended for students and researchers, the book serves as an introduction to quantum cohomology and its isomonodromic approach, along with its algebraic counterpart in the derived category of coherent sheaves.…

Paperback. Zustand: Brand New. 249 pages. 9.25x6.10x9.21 inches. In Stock.

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Paperback. Zustand: Brand New. Italian language. 9.37x6.69x1.02 inches. In Stock.

Providence, Rhode Island, American Mathematical Society, 2021. 2 vols. XXI,516, XXI,480 pp. B./w. figs. Orig. uniform softcovers. Large 8vo. (Proceedings of symposia in pure mathematics, Vol. 103.1 & 103.2). - As new.Complete set of two volumes: Vol. I: Integrable systems; Vol. II: Quantum theories and algebraic geometry. - - This set is a collection of articles written in memory of Boris Dubrovin. The authors express their admiration for his remarkable personality and for the contribution he made to mathematical physics. For many" of the authors, Dubrovin "was a friend, a colleague, for some an inspiring mentor and teacher." "The contributions to this collection of papers are split into two volumes" which "reflect the areas of main scientific interests of Boris. Chronologically, works of Boris may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (a.k.a. Frobenius manifolds), isomonodromy equations (flat connections),m quantum cohomology.…