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You searched for subject:(Azumaya algebra). Showing records 1 – 2 of 2 total matches.

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University of Illinois – Chicago

1. Moulinos, Tasos. Topological K-theory and Invertibility.

Degree: 2018, University of Illinois – Chicago

In this dissertation, a theory of topological K-theory of dg-categories relative to an arbitrary base scheme is developed. This is then used to study the topological K-theory of Azumaya algebras and relate it to the topological notion of twisted K-theory. Advisors/Committee Members: Shipley, Brooke (advisor), Antieau, Benjamin (advisor), Gillet, Henri (committee member), Gepner, David (committee member), Heller, Jeremiah (committee member), Shipley, Brooke (chair).

Subjects/Keywords: K-theory; scheme; Azumaya algebra

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APA (6th Edition):

Moulinos, T. (2018). Topological K-theory and Invertibility. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23144

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Moulinos, Tasos. “Topological K-theory and Invertibility.” 2018. Thesis, University of Illinois – Chicago. Accessed June 07, 2020. http://hdl.handle.net/10027/23144.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Moulinos, Tasos. “Topological K-theory and Invertibility.” 2018. Web. 07 Jun 2020.

Vancouver:

Moulinos T. Topological K-theory and Invertibility. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2020 Jun 07]. Available from: http://hdl.handle.net/10027/23144.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Moulinos T. Topological K-theory and Invertibility. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/23144

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Oxford

2. Cooney, Nicholas. Quantum multiplicative hypertoric varieties and localization.

Degree: PhD, 2014, University of Oxford

In this thesis, we consider q-deformations of multiplicative Hypertoric varieties, where q∈𝕂x for 𝕂 an algebraically closed field of characteristic 0. We construct an algebra Dq of q-difference operators as a Heisenberg double in a braided monoidal category. We then focus on the case where q is specialized to a root of unity. In this setting, we use Dq to construct an Azumaya algebra on an l-twist of the multiplicative Hypertoric variety, before showing that this algebra splits over the fibers of both the moment and resolution maps. Finally, we sketch a derived localization theorem for these Azumaya algebras.

Subjects/Keywords: 512; Mathematics; Algebraic geometry; Group theory and generalizations (mathematics); Representation Theory; Quantum Algebra; Braided Tensor Categories; Azumaya algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Cooney, N. (2014). Quantum multiplicative hypertoric varieties and localization. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:17d0824f-e8f2-4cb7-9e84-dd3850a9e2a2 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.680407

Chicago Manual of Style (16th Edition):

Cooney, Nicholas. “Quantum multiplicative hypertoric varieties and localization.” 2014. Doctoral Dissertation, University of Oxford. Accessed June 07, 2020. http://ora.ox.ac.uk/objects/uuid:17d0824f-e8f2-4cb7-9e84-dd3850a9e2a2 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.680407.

MLA Handbook (7th Edition):

Cooney, Nicholas. “Quantum multiplicative hypertoric varieties and localization.” 2014. Web. 07 Jun 2020.

Vancouver:

Cooney N. Quantum multiplicative hypertoric varieties and localization. [Internet] [Doctoral dissertation]. University of Oxford; 2014. [cited 2020 Jun 07]. Available from: http://ora.ox.ac.uk/objects/uuid:17d0824f-e8f2-4cb7-9e84-dd3850a9e2a2 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.680407.

Council of Science Editors:

Cooney N. Quantum multiplicative hypertoric varieties and localization. [Doctoral Dissertation]. University of Oxford; 2014. Available from: http://ora.ox.ac.uk/objects/uuid:17d0824f-e8f2-4cb7-9e84-dd3850a9e2a2 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.680407

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