Representation theory and flag varieties : AMS Special Session on Representation Theory and Flag Varieties, September 9-10, 2023, University at Buffalo, Buffalo, NY, USA / Yiqiang Li, Changlong Zhong, editors.

Format:

Book

Conference/Event

Contributor:

Li, Yiqiang, editor.

Zhong, Changlong, 1983- editor.

Conference Name:

AMS Special Session on Representation Theory and Flag Varieties (2023 : Buffalo, N.Y.) http://id.loc.gov/rwo/agents/n2026006859, Author.

Series:

Contemporary mathematics (American Mathematical Society) ; 0271-4132 volume 837.

Contemporary mathematics, 0271-4132 ; volume 837

Language:

English

Subjects (All):

Representations of groups.

Flag manifolds.

Genre:

proceedings (reports)

Conference papers and proceedings.

Physical Description:

vii, 199 pages ; 25 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2026]

Summary:

This volume contains 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. This volume contains 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 varieties, research on geometry of Springer fibers and their variants, combinatorial models for quiver varieties, and results on G-connections in the geometric Langlands program, providing fresh insights and methodologies.

Contents:

The Grothendieck ring of the periplectic Lie supergroup and supersymmetric functions / Mee Seong Im, Shifra Reif, and Vera Serganova

Divided difference operators for partial flag varieties / Juliana S. Tymoczko

Exotic Spaltenstein varieties / Daniele Rosso and Neil Saunders

Minimal semisimple Hessenberg schemes / Rebecca Goldin and Martha Precup

On the pure dimensionality of Spaltenstein varieties: a family of counterexamples / Drew Meyer

Connections on the projective line whose differential Galois groups are as large as possible / Daniel S. Sage

Nakajima's quiver varieties and triangular bases of bipartite cluster algebras / Li Li

Elliptic Schubert classes and the Poincaré duality / Changlong Zhong

Quasi-split symmetric pairs of type A and Steinberg varieties of classical type, II: constructible functions / Yiqiang Li.

Notes:

Includes bibliographical references.

Other Format:

Online version: AMS Special Session on Representation Theory and Flag Varieties (2023 : Buffalo, N.Y.). Representation theory and flag varieties.

ISBN:

9781470477271

1470477270

OCLC:

1584033228