Compactifications, Configurations, and Cohomology (Contemporary Mathematics) - Softcover

Peter Crooks (editor) & Alexandru I. Suciu (editor)

Softcover

ISBN 10: 1470469928 ISBN 13: 9781470469924

Publisher: American Mathematical Society, 2023

Synopsis

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.

About this title

About the Author

Peter Crooks, Utah State University, Logan, UT.

Alexandru I. Suciu, Northeastern University, Boston, MA.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2023
• Language: English
• ISBN 10: 1470469928
• ISBN 13: 9781470469924
• Binding: Paperback
• Number of pages: 157