Representation Theory and Flag Varieties - Couverture souple

Couverture souple

ISBN 10 : 1470477270 ISBN 13 : 9781470477271

Editeur : American Mathematical Society, 2026

Synopsis

This volume contains the proceedings of the AMS Special Session on Representation Theory and Flag Varieties, held at the AMS Sectional Meeting at SUNY Buffalo on September 9-10, 2023. Representation theory, which originated with Frobenius's work on group representations in the late 19th century, explores symmetries in mathematics and natural sciences. It has evolved into a broad field since then. Its geometric approach, leverages flag and Nakajima quiver varieties, produces significant results such as the resolution of the Kazhdan-Lusztig conjecture, connects to disciplines such as enumerative geometry, algebraic geometry, and mathematical physics, and in return reveals hidden structures within these varieties. This volume compiles recent advancements in representation theory and flag/quiver variety geometry, offering original research and expository articles. Contributions include work on generalized Shubert calculus, quantum $K$-theory of semi-infinite flag variety, research on geometry of Springer fibers and their variants, combinatorial model for quiver varieties, and results on $G$-connections in the geometric Langlands program, providing fresh insights and methodologies.

A propos du livre

À propos des auteurs

Yiqiang Li, University at Buffalo, State University of New York, NY.

Changlong Zhong, University at Albany, State University of New York, NY.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 1470477270
• ISBN 13: 9781470477271
• Reliure: Broché
• Nombre de pages: 195
• Éditeur: Li Yiqiang, Zhong Changlong
• Coordonnées du fabricant: JOSSEY-BASS; https://www.wiley.com/en-us; ; 111 River Street; Hoboken; NJ; 7030; Etats-Unis
• Personne responsable: non disponible