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Статті в журналах з теми "Noncommutative derived algebraic geometry"
Chen, Yiping, and Wei Hu. "Approximations, ghosts and derived equivalences." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 2 (January 26, 2019): 813–40. http://dx.doi.org/10.1017/prm.2018.120.
Повний текст джерелаCirio, Lucio S., Giovanni Landi, and Richard J. Szabo. "Instantons and vortices on noncommutative toric varieties." Reviews in Mathematical Physics 26, no. 09 (October 2014): 1430008. http://dx.doi.org/10.1142/s0129055x14300088.
Повний текст джерелаDolbeault, Pierre. "On a noncommutative algebraic geometry." Banach Center Publications 107 (2015): 119–31. http://dx.doi.org/10.4064/bc107-0-8.
Повний текст джерелаNikolaev, Igor V. "Noncommutative geometry of algebraic curves." Proceedings of the American Mathematical Society 137, no. 10 (October 1, 2009): 3283. http://dx.doi.org/10.1090/s0002-9939-09-09917-1.
Повний текст джерелаSharygin, G. I. "Geometry of Noncommutative Algebraic Principal Bundles." Journal of Mathematical Sciences 134, no. 2 (April 2006): 1911–82. http://dx.doi.org/10.1007/s10958-006-0092-z.
Повний текст джерелаŠkoda, Zoran. "Some Equivariant Constructions in Noncommutative Algebraic Geometry." gmj 16, no. 1 (March 2009): 183–202. http://dx.doi.org/10.1515/gmj.2009.183.
Повний текст джерелаBeil, Charlie. "The Bell states in noncommutative algebraic geometry." International Journal of Quantum Information 12, no. 05 (August 2014): 1450033. http://dx.doi.org/10.1142/s0219749914500336.
Повний текст джерелаReineke, Markus, J. Toby Stafford, Catharina Stroppel, and Michel Van den Bergh. "Interactions between Algebraic Geometry and Noncommutative Algebra." Oberwolfach Reports 11, no. 2 (2014): 1365–402. http://dx.doi.org/10.4171/owr/2014/25.
Повний текст джерелаReineke, Markus, J. Toby Stafford, Catharina Stroppel, and Michel Van den Bergh. "Interactions between Algebraic Geometry and Noncommutative Algebra." Oberwolfach Reports 15, no. 2 (April 11, 2019): 1465–515. http://dx.doi.org/10.4171/owr/2018/24.
Повний текст джерелаToën, Bertrand. "Derived algebraic geometry." EMS Surveys in Mathematical Sciences 1, no. 2 (2014): 153–245. http://dx.doi.org/10.4171/emss/4.
Повний текст джерелаДисертації з теми "Noncommutative derived algebraic geometry"
Rennie, Adam Charles. "Noncommutative spin geometry." Title page, contents and introduction only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phr4163.pdf.
Повний текст джерелаLurie, Jacob 1977. "Derived algebraic geometry." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/30144.
Повний текст джерелаIncludes bibliographical references (p. 191-193).
The purpose of this document is to establish the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise criteria for the representability of a moduli functor by geometric objects of these types.
by Jacob Lurie.
Ph.D.
Toledo, Castro Angel Israel. "Espaces de produits tensoriels sur la catégorie dérivée d'une variété." Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4001.
Повний текст джерелаIn this thesis we are interested in studying derived categories of smooth projective varieties over a field. Concretely, we study the geometric and categorical information from the variety and from it's derived category in order to understand the set of monoidal structures one can equip the derived category with. The motivation for this project comes from two theorems. The first is Bondal-Orlov reconstruction theorem which says that the derived category of a variety with ample (anti-)canonical bundle is enough to recover the variety. On the other hand, we have Balmer's spectrum construction which uses the derived tensor product to recover a much larger number of varieties from it's derived category of perfect complexes as a monoidal category. The existence of different monoidal structure is in turn guaranteed by the existence of varieties with equivalent derived categories. We have as a goal then to understand the role of the tensor products in the existence (or not ) of these sort of varieties. The main results we obtained are If X is a variety with ample (anti-)canonical bundle, and ⊠ is a tensor triangulated category on Db(X) such that the Balmer spectrum Spc(Db(X),⊠) is isomorphic to X, then for any F,G∈Db(X) we have F⊠G≃F⊗G where ⊗ is the derived tensor product. We have used Toën's Morita theorem for dg-categories to give a characterization of a truncated structure in terms of bimodules over a product of dg-algebras, which induces a tensor triangulated category at the level of homotopy categories. We studied the deformation theory of these structures in the sense of Davydov-Yetter cohomology, concretely showing that there is a relationship between one of these cohomology groups and the set of associators that the tensor product can deform into. We utilise techniques at the level of triangulated categories and also perspectives from higher category theory like dg-categories and quasi-categories
Tang, Xin. "Applications of noncommutative algebraic geometry to representation theory /." Search for this dissertation online, 2006. http://wwwlib.umi.com/cr/ksu/main.
Повний текст джерелаGoetz, Peter D. "The noncommutative algebraic geometry of quantum projective spaces /." view abstract or download file of text, 2003. http://wwwlib.umi.com/cr/uoregon/fullcit?p3102165.
Повний текст джерелаTypescript. Includes vita and abstract. Includes bibliographical references (leaves 106-108). Also available for download via the World Wide Web; free to University of Oregon users.
Schelp, Richard Charles. "The standard model and beyond in noncommutative geometry /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.
Повний текст джерелаSolanki, Vinesh. "Zariski structures in noncommutative algebraic geometry and representation theory." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:3fa23b75-9b85-4dc2-9ad6-bdb20d61fe45.
Повний текст джерелаFrancis, John (John Nathan Kirkpatrick). "Derived algebraic geometry over En̳-rings." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/43792.
Повний текст джерелаIn title on t.p., double underscored "n" appears as subscript.
Includes bibliographical references (p. 55-56).
We develop a theory of less commutative algebraic geometry where the role of commutative rings is assumed by En-rings, that is, rings with multiplication parametrized by configuration spaces of points in Rn. As n increases, these theories converge to the derived algebraic geometry of Tobn-Vezzosi and Lurie. The class of spaces obtained by gluing En-rings form a geometric counterpart to En-categories, which are higher topological variants of braided monoidal categories. These spaces further provide a geometric language for the deformation theory of general E, structures. A version of the cotangent complex governs such deformation theories, and we relate its values to E&-Hochschild cohomology. In the affine case, this establishes a claim made by Kontsevich. Other applications include a geometric description of higher Drinfeld centers of SE-categories, explored in work with Ben-Zvi and Nadler.
by John Francis.
Ph.D.
Di, Natale Carmelo. "Grassmannians and period mappings in derived algebraic geometry." Thesis, University of Cambridge, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709191.
Повний текст джерелаMelani, Valerio. "Poisson and coisotropic structures in derived algebraic geometry." Thesis, Sorbonne Paris Cité, 2016. http://www.theses.fr/2016USPCC299/document.
Повний текст джерелаIn this thesis, we define and study Poisson and coisotropic structures on derived stacks in the framework of derived algebraic geometry. We consider two possible presentations of Poisson structures of different flavour: the first one is purely algebraic, while the second is more geometric. We show that the two approaches are in fact equivalent. We also introduce the notion of coisotropic structure on a morphism between derived stacks, once again presenting two equivalent definitions: one of them involves an appropriate generalization of the Swiss Cheese operad of Voronov, while the other is expressed in terms of relative polyvector fields. In particular, we show that the identity morphism carries a unique coisotropic structure; in turn, this gives rise to a non-trivial forgetful map from n-shifted Poisson structures to (n-1)-shifted Poisson structures. We also prove that the intersection of two coisotropic morphisms inside a n-shifted Poisson stack is naturally equipped with a canonical (n-1)-shifted Poisson structure. Moreover, we provide an equivalence between the space of non-degenerate coisotropic structures and the space of Lagrangian structures in derived geometry, as introduced in the work of Pantev-Toën-Vaquié-Vezzosi
Книги з теми "Noncommutative derived algebraic geometry"
Connes, Alain. Noncommutative geometry. San Diego: Academic Press, 1994.
Знайти повний текст джерелаFrance) États de la recherche (2017 Toulouse. Derived algebraic geometry. Paris, France: Société mathématique de France, 2021.
Знайти повний текст джерелаTopics in noncommutative geometry. Princeton, N.J: Princeton University Press, 1991.
Знайти повний текст джерела1952-, Várilly Joseph C., and Figueroa Héctor 1957-, eds. Elements of noncommutative geometry. Boston: Birkhäuser, 2001.
Знайти повний текст джерелаMelles, Caroline Grant, Jean-Paul Brasselet, Gary Kennedy, Kristin Lauter, and Lee McEwan, eds. Topics in Algebraic and Noncommutative Geometry. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/conm/324.
Повний текст джерелаKawamata, Yujiro, ed. Derived Categories in Algebraic Geometry. Zuerich, Switzerland: European Mathematical Society Publishing House, 2013. http://dx.doi.org/10.4171/115.
Повний текст джерелаAn introduction to noncommutative differential geometry and its physical applications. 2nd ed. Cambridge [England]: Cambridge University Press, 1999.
Знайти повний текст джерелаAn introduction to noncommutative differential geometry and its physical applications. Cambridge: Cambridge University Press, 1995.
Знайти повний текст джерелаRosenberg, Alex. Noncommutative algebraic geometry and representations of quantized algebras. Dordrecht: Kluwer Academic Publishers, 1995.
Знайти повний текст джерелаRosenberg, Alexander L. Noncommutative Algebraic Geometry and Representations of Quantized Algebras. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2.
Повний текст джерелаЧастини книг з теми "Noncommutative derived algebraic geometry"
Rosenberg, Alexander L. "Noncommutative Affine Schemes." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 1–47. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_1.
Повний текст джерелаRosenberg, Alexander L. "Noncommutative Local Algebra." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 110–41. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_3.
Повний текст джерелаRosenberg, Alexander L. "Noncommutative Projective Spectrum." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 276–305. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_7.
Повний текст джерелаMoerdijk, Ieke, and Bertrand Toën. "Derived stacks and derived algebraic stacks." In Simplicial Methods for Operads and Algebraic Geometry, 167–77. Basel: Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0348-0052-5_13.
Повний текст джерелаToën, Bertrand, and Gabriele Vezzosi. "Chern Character, Loop Spaces and Derived Algebraic Geometry." In Algebraic Topology, 331–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01200-6_11.
Повний текст джерелаSchmüdgen, Konrad. "Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas." In Emerging Applications of Algebraic Geometry, 325–50. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-09686-5_9.
Повний текст джерелаMoerdijk, Ieke, and Bertrand Toën. "Examples of derived algebraic stacks." In Simplicial Methods for Operads and Algebraic Geometry, 179–84. Basel: Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0348-0052-5_14.
Повний текст джерелаNatsume, Toshikazu. "C*-Algebraic Deformation and Index Theory." In Noncommutative Differential Geometry and Its Applications to Physics, 155–67. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0704-7_10.
Повний текст джерелаRosenberg, Alexander L. "The Left Spectrum and Irreducible Representations of ‘Small’ Quantized and Classical Rings." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 48–109. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_2.
Повний текст джерелаRosenberg, Alexander L. "Noncommutative Local Algebra and Representations of certain rings of mathematical physics." In Noncommutative Algebraic Geometry and Representations of Quantized Algebras, 142–87. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8430-2_4.
Повний текст джерелаТези доповідей конференцій з теми "Noncommutative derived algebraic geometry"
Sharygin, G. I. "A new construction of characteristic classes for noncommutative algebraic principal bundles." In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-15.
Повний текст джерелаZhang, Hongbo, Hongchun Wu, and Liangzhi Cao. "Acceleration Technique Using Krylov Subspace Methods for 2D Arbitrary Geometry Characteristics Solver." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-29420.
Повний текст джерелаGhaderi, P., and M. Bankehsaz. "Effects of Material Properties Estimations on the Thermo-Elastic Analysis for Functionally Graded Thick Spheres and Cylinders." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41475.
Повний текст джерелаYan, Hong-Sen, and Wen-Hsiang Hsieh. "On the Coupler Curve of RCPCR Linkages." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5900.
Повний текст джерелаKong, Xianwen. "Kinematic Analysis of Conventional and Multi-Mode Spatial Mechanisms Using Dual Quaternions." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59194.
Повний текст джерелаDaneshkhah, Kasra, and Wahid Ghaly. "Redesign of a Highly Loaded Transonic Turbine Nozzle Blade Using a New Viscous Inverse Design Method." In ASME Turbo Expo 2007: Power for Land, Sea, and Air. ASMEDC, 2007. http://dx.doi.org/10.1115/gt2007-27430.
Повний текст джерелаKong, Xianwen, Jingjun Yu, and Duanling Li. "Reconfiguration Analysis of a 2-DOF 3-4R Parallel Manipulator With Planar Base and Platform." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46219.
Повний текст джерелаOsborne, Alfred R. "Theory of Nonlinear Fourier Analysis: The Construction of Quasiperiodic Fourier Series for Nonlinear Wave Motion." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18850.
Повний текст джерела