| Softcover ISBN: | 978-1-4704-6992-4 |
| Product Code: | CONM/790 |
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| eBook ISBN: | 978-1-4704-7457-7 |
| Product Code: | CONM/790.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-6992-4 |
| eBook: ISBN: | 978-1-4704-7457-7 |
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| AMS Member Price: | $204.00 $154.00 |
| Softcover ISBN: | 978-1-4704-6992-4 |
| Product Code: | CONM/790 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-7457-7 |
| Product Code: | CONM/790.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-6992-4 |
| eBook ISBN: | 978-1-4704-7457-7 |
| Product Code: | CONM/790.B |
| List Price: | $255.00 $192.50 |
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Book DetailsContemporary MathematicsVolume: 790; 2023; 157 ppMSC: Primary 14; 17; 32; 55
This volume contains the proceedings of the Conference on Compactifications, Configurations, and Cohomology, held from October 22–24, 2021, at Northeastern University, Boston, MA.
Some of the most active and fruitful mathematical research occurs at the interface of algebraic geometry, representation theory, and topology. Noteworthy examples include the study of compactifications in three specific settings—algebraic group actions, configuration spaces, and hyperplane arrangements. These three types of compactifications enjoy common structural features, including relations to root systems, combinatorial descriptions of cohomology rings, the appearance of iterated blow-ups, the geometry of normal crossing divisors, and connections to mirror symmetry in physics. On the other hand, these compactifications are often studied independently of one another.
The articles focus on new and existing connections between the aforementioned three types of compactifications, thereby setting the stage for further research. It draws on the discipline-specific expertise of all contributors, and at the same time gives a unified, self-contained reference for compactifications and related constructions in different contexts.
ReadershipGraduate students and research mathematicians interested in compactification problems in algebraic geometry, algebraic topology, and Lie theory.
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Table of Contents
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Articles
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Ana Bălibanu — A quasi-Poisson structure on the multiplicative Grothendieck–Springer resolution
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Patrick Brosnan — Volumes of definable sets in o-minimal expansions and affine GAGA theorems
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Peter Crooks and Markus Röser — Hessenberg varieties and Poisson slices
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Graham Denham and Avi Steiner — Geometry of logarithmic derivations of hyperplane arrangements
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Iva Halacheva — Shift of argument algebras and de Concini–Procesi spaces
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Ben Knudsen — Projection spaces and twisted Lie algebras
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Alexandru I. Suciu — Cohomology, Bocksteins, and resonance varieties in characteristic $2$
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains the proceedings of the Conference on Compactifications, Configurations, and Cohomology, held from October 22–24, 2021, at Northeastern University, Boston, MA.
Some of the most active and fruitful mathematical research occurs at the interface of algebraic geometry, representation theory, and topology. Noteworthy examples include the study of compactifications in three specific settings—algebraic group actions, configuration spaces, and hyperplane arrangements. These three types of compactifications enjoy common structural features, including relations to root systems, combinatorial descriptions of cohomology rings, the appearance of iterated blow-ups, the geometry of normal crossing divisors, and connections to mirror symmetry in physics. On the other hand, these compactifications are often studied independently of one another.
The articles focus on new and existing connections between the aforementioned three types of compactifications, thereby setting the stage for further research. It draws on the discipline-specific expertise of all contributors, and at the same time gives a unified, self-contained reference for compactifications and related constructions in different contexts.
Graduate students and research mathematicians interested in compactification problems in algebraic geometry, algebraic topology, and Lie theory.
-
Articles
-
Ana Bălibanu — A quasi-Poisson structure on the multiplicative Grothendieck–Springer resolution
-
Patrick Brosnan — Volumes of definable sets in o-minimal expansions and affine GAGA theorems
-
Peter Crooks and Markus Röser — Hessenberg varieties and Poisson slices
-
Graham Denham and Avi Steiner — Geometry of logarithmic derivations of hyperplane arrangements
-
Iva Halacheva — Shift of argument algebras and de Concini–Procesi spaces
-
Ben Knudsen — Projection spaces and twisted Lie algebras
-
Alexandru I. Suciu — Cohomology, Bocksteins, and resonance varieties in characteristic $2$
