000			02974nam a2200277 4500
003			ISI Library, Kolkata
005			20260427113950.0
008			260423b |||||||| |||| 00| 0 eng d
020			_a9781470470906 _qpaperback
040			_aISI Library
082	0	4	_223 _a515.7223 _bG559
245	1	2	_aA glimpse into geometric representation theory : _bvirtual AMS Special Session on Combinatorial and Geometric Representation Theory, 2022 / _cedited by Mahir Bilen Can and Jörg Feldvoss.
260			_aProvidence, Rhode Island : _bAmerican Mathematical Society, _c2024.
300			_axx, 203 pages ; _c26 cm.
490	1		_aContemporary mathematics ; _v804
504			_aIncludes bibliographical references.
505	0		_aIncludes articles on motivic Chern classes, Lie superalgebras, Nash manifolds, Macdonald polynomials, and meromorphic connections.
520			_aThis volume brings together a collection of advanced research and survey papers presented at a virtual AMS Special Session devoted to combinatorial and geometric representation theory. The contributions reflect the growing synthesis of algebraic, geometric, and combinatorial perspectives in modern mathematical research, illustrating how geometric intuition and structures can be used to understand and classify representations of algebraic objects. The articles explore a broad spectrum of interconnected themes, including equivariant characteristic classes and their applications in geometry, representation theory of Lie algebras and Lie superalgebras, and the role of combinatorial structures such as partitions, tableaux, and symmetric functions in encoding representation-theoretic data. Several papers investigate geometric methods in representation theory, such as the use of algebraic varieties, flag varieties, and Nash manifolds, highlighting how geometric spaces provide a natural setting for studying symmetries and invariants. Further contributions address specialized topics like Macdonald polynomials, categorification, and connections with algebraic combinatorics, as well as the study of meromorphic connections and moduli spaces on algebraic curves. These works demonstrate the deep interplay between local and global geometric structures and their influence on representation-theoretic phenomena. Overall, the volume offers both a snapshot of current research trends and a conceptual framework for understanding ongoing developments in geometric representation theory. It serves as a valuable resource for researchers, advanced students, and specialists seeking insight into the unifying methods and emerging directions at the intersection of algebra, geometry, and combinatorics.
650		0	_aRepresentation theory.
650		0	_aGeometry, Algebraic.
650		0	_aCombinatorial mathematics.
700	1		_aCan, Mahir Bilen, _eeditor.
700	1		_aFeldvoss, Jörg, _eeditor.
830		0	_aContemporary mathematics (American Mathematical Society) ; _v804
942			_2ddc _cBK
999			_c447240 _d447240