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Recent Advances in Noncommutative Algebra and Geometry
 
Edited by: K. A. Brown University of Glasgow, Glasgow, United Kingdom
T. J. Hodges University of Cincinnati, Cincinnati, OH
M. Vancliff University of Texas at Arlington, Arlington, TX
J. J. Zhang University of Washington, Seattle, WA
Softcover ISBN:  978-1-4704-7239-9
Product Code:  CONM/801
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: July 28, 2024
eBook ISBN:  978-1-4704-7632-8
Product Code:  CONM/801.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7239-9
eBook: ISBN:  978-1-4704-7632-8
Product Code:  CONM/801.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Not yet published - Preorder Now!
Expected availability date: July 28, 2024
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Recent Advances in Noncommutative Algebra and Geometry
Edited by: K. A. Brown University of Glasgow, Glasgow, United Kingdom
T. J. Hodges University of Cincinnati, Cincinnati, OH
M. Vancliff University of Texas at Arlington, Arlington, TX
J. J. Zhang University of Washington, Seattle, WA
Softcover ISBN:  978-1-4704-7239-9
Product Code:  CONM/801
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Not yet published - Preorder Now!
Expected availability date: July 28, 2024
eBook ISBN:  978-1-4704-7632-8
Product Code:  CONM/801.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Softcover ISBN:  978-1-4704-7239-9
eBook ISBN:  978-1-4704-7632-8
Product Code:  CONM/801.B
List Price: $264.00 $199.50
MAA Member Price: $237.60 $179.55
AMS Member Price: $211.20 $159.60
Not yet published - Preorder Now!
Expected availability date: July 28, 2024
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 8012024; 259 pp
    MSC: Primary 16; 14; 15; 17; 20; Secondary 81

    This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday.

    The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory.

    In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.

    Readership

    Graduate students and research mathematicians interested in noncommutative algebra and noncommutative algebraic geometry.

  • Table of Contents
     
     
    • Articles
    • Jason P. Bell, Léon Burkhardt and Nicholas Priebe — Ore extensions of commutative rings and the Dixmier-Moeglin equivalence
    • Raf Bocklandt and Jasper van de Kreeke — Deformations of gentle $A_\infty $-algebras
    • K. A. Brown and J. T. Stafford — The prime spectrum of the Drinfeld double of the Jordan plane
    • Alex Chirvasitu, Ryo Kanda and S. Paul Smith — Modular properties of elliptic algebras
    • K. R. Goodearl — Spectra of quantum algebras
    • Timothy J. Hodges — Introduction to Belavin-Drinfeld Quantum Groups
    • Hongdi Huang, Xin Tang and Xingting Wang — A survey on Zariski cancellation problems for noncommutative and Poisson algebras
    • Colin Ingalls and Takehiko Yasuda — Log centres of noncommutative crepant resolutions are Kawamata log terminal: Remarks on a paper of Stafford and Van den Bergh
    • Ian M. Musson — On the geometry of some algebras related to the Weyl groupoid.
    • Pablo S. Ocal, Kenta Ueyama and Padmini Veerapen — A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry
    • Daniel Rogalski — Artin-Schelter regular algebras
    • Hung V. Tran and Michaela Vancliff — Twisting systems and some quantum $\mathbb {P}^3$s with point scheme a rank-2 quadric
    • Michaela Vancliff — An example of a quadratic AS-regular algebra without any point modules
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 8012024; 259 pp
MSC: Primary 16; 14; 15; 17; 20; Secondary 81

This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday.

The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory.

In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.

Readership

Graduate students and research mathematicians interested in noncommutative algebra and noncommutative algebraic geometry.

  • Articles
  • Jason P. Bell, Léon Burkhardt and Nicholas Priebe — Ore extensions of commutative rings and the Dixmier-Moeglin equivalence
  • Raf Bocklandt and Jasper van de Kreeke — Deformations of gentle $A_\infty $-algebras
  • K. A. Brown and J. T. Stafford — The prime spectrum of the Drinfeld double of the Jordan plane
  • Alex Chirvasitu, Ryo Kanda and S. Paul Smith — Modular properties of elliptic algebras
  • K. R. Goodearl — Spectra of quantum algebras
  • Timothy J. Hodges — Introduction to Belavin-Drinfeld Quantum Groups
  • Hongdi Huang, Xin Tang and Xingting Wang — A survey on Zariski cancellation problems for noncommutative and Poisson algebras
  • Colin Ingalls and Takehiko Yasuda — Log centres of noncommutative crepant resolutions are Kawamata log terminal: Remarks on a paper of Stafford and Van den Bergh
  • Ian M. Musson — On the geometry of some algebras related to the Weyl groupoid.
  • Pablo S. Ocal, Kenta Ueyama and Padmini Veerapen — A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry
  • Daniel Rogalski — Artin-Schelter regular algebras
  • Hung V. Tran and Michaela Vancliff — Twisting systems and some quantum $\mathbb {P}^3$s with point scheme a rank-2 quadric
  • Michaela Vancliff — An example of a quadratic AS-regular algebra without any point modules
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.