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Softcover ISBN:  9781470472399 
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Softcover ISBN:  9781470472399 
Product Code:  CONM/801 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
eBook ISBN:  9781470476328 
Product Code:  CONM/801.E 
List Price:  $129.00 
MAA Member Price:  $116.10 
AMS Member Price:  $103.20 
Softcover ISBN:  9781470472399 
eBook ISBN:  9781470476328 
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 

Book DetailsContemporary MathematicsVolume: 801; 2024; 259 ppMSC: 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, CalabiYau algebras, ArtinSchelter 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.
ReadershipGraduate 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 DixmierMoeglin 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 BelavinDrinfeld 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 — ArtinSchelter regular algebras

Hung V. Tran and Michaela Vancliff — Twisting systems and some quantum $\mathbb {P}^3$s with point scheme a rank2 quadric

Michaela Vancliff — An example of a quadratic ASregular algebra without any point modules


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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, CalabiYau algebras, ArtinSchelter 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.
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 DixmierMoeglin 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 BelavinDrinfeld 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 — ArtinSchelter regular algebras

Hung V. Tran and Michaela Vancliff — Twisting systems and some quantum $\mathbb {P}^3$s with point scheme a rank2 quadric

Michaela Vancliff — An example of a quadratic ASregular algebra without any point modules