About this product

Product Identifiers

PublisherAmerican Mathematical Society

ISBN-101470435748

ISBN-139781470435745

eBay Product ID (ePID)240348022

Product Key Features

Number of Pages436 Pages

Publication NameGeometry of Moduli Spaces and Representation Theory

LanguageEnglish

Publication Year2017

SubjectStudy & Teaching, Geometry / Algebraic

TypeTextbook

Subject AreaMathematics

AuthorAlexander Braverman

SeriesIas/Park City Mathematics Ser.

FormatHardcover

Dimensions

Item Height0.8 in

Item Weight32.3 Oz

Item Length10 in

Item Width7 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2017-018956

Dewey Edition23

IllustratedYes

Dewey Decimal516.3/5

Table Of ContentM. A. de Cataldo, Perverse sheaves and the topology of algebraic varieties X. Zhu, An introduction to affine Grassmannians and the geometric Satake equivalaence Z. Yun, Lectures on Springer theories and orbital intgegrals N. G. Chau, Perverse sheaves and fundamental lemmas A. Okounkov, Lectures on $K$-theoretic computations in enumerative geometry H. Nakajima, Lectures on perverse sheaves on instanton moduli spaces.

SynopsisThis book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program, "Geometry of moduli spaces and representation theory", and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory., This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program ''Geometry of moduli spaces and representation theory'', and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory. Geometric representation theory is a young but fast developing research area at the intersection of these subjects. An early profound achievement was the famous conjecture by Kazhdan-Lusztig about characters of highest weight modules over a complex semi-simple Lie algebra, and its subsequent proof by Beilinson-Bernstein and Brylinski-Kashiwara. Two remarkable features of this proof have inspired much of subsequent development: intricate algebraic data turned out to be encoded in topological invariants of singular geometric spaces, while proving this fact required deep general theorems from algebraic geometry. Another focus of the program was enumerative algebraic geometry. Recent progress showed the role of Lie theoretic structures in problems such as calculation of quantum cohomology, K-theory, etc. Although the motivation and technical background of these constructions is quite different from that of geometric Langlands duality, both theories deal with topological invariants of moduli spaces of maps from a target of complex dimension one. Thus they are at least heuristically related, while several recent works indicate possible strong technical connections. The main goal of this collection of notes is to provide young researchers and experts alike with an introduction to these areas of active research and promote interaction between the two related directions.

LC Classification NumberQA565.G4627 2017