LEADER 00000cam a2200829Mi 4500 001 on1056895538 003 OCoLC 005 20240126125653.0 006 m o d 007 cr un|---aucuu 008 181013s2018 sz o 100 0 eng d 016 7 019084092|2Uk 019 1056735566|a1081215288|a1086541577|a1105193544|a1117823656 020 9783319940335|q(electronic bk.) 020 3319940333|q(electronic bk.) 020 9783319940342|q(print) 020 3319940341 020 |z9783319940328 020 |z3319940325 024 7 10.1007/978-3-319-94033-5|2doi 024 8 10.1007/978-3-319-94 035 (OCoLC)1056895538|z(OCoLC)1056735566|z(OCoLC)1081215288 |z(OCoLC)1086541577|z(OCoLC)1105193544|z(OCoLC)1117823656 037 com.springer.onix.9783319940335|bSpringer Nature 040 EBLCP|beng|erda|epn|cEBLCP|dGW5XE|dOCLCF|dUAB|dN$T|dOH1 |dSTF|dFIE|dUKMGB|dYDX|dOCLCQ|dVT2|dCAUOI|dMERER|dU3W |dLEAUB|dWAU|dUKAHL|dLQU|dOCLCQ|dOCLCO|dCOM|dOCLCO|dOCLCQ |dOCLCO|dS9M 049 RIDW 050 4 QA176 072 7 MAT|x002040|2bisacsh 072 7 PBC|2bicssc 072 7 PBC|2thema 072 7 PBF|2thema 082 04 512/.22|223 090 QA176 111 2 PIMS Summer School and Workshop|d(2016 :|cVancouver, B.C.) 245 10 Geometric and topological aspects of the representation theory of finite groups :|bPIMS Summer School and Workshop, July 27-August 5, 2016 /|cJon F. Carlson, Srikanth B. Iyengar, Julia Pevtsova, editors. 264 1 Cham :|bSpringer,|c2018. 300 1 online resource (493 pages) 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 347 text file|bPDF|2rda 490 1 Springer Proceedings in Mathematics and Statistics ;|vv. 242 505 0 Intro; Preface; Contents; Restricting Homology to Hypersurfaces; 1 Differential Graded Algebra; 1.1 Tensor Products; 1.2 Divided Powers; 1.3 The Koszul Complex; 1.4 The Tate Construction; 1.5 Acyclic Closures; 2 Hypersurfaces; 2.1 Degree One Cycles; 2.2 Hypersurfaces; 3 Support Sets; 3.1 Support Sets; 3.2 Projective Dimension; 3.3 Alternative Description of Support; 3.4 Complexes over Regular Rings; 3.5 On Being Closed; 4 Defining Equations; 4.1 Complete Intersections; 5 Group Algebras of Elementary Abelian Groups; 5.1 Flat Dimension; 5.2 Rank Varieties; 5.3 Polynomial Extensions. 505 8 5.4 Nilpotent OperatorsReferences; Thick Subcategories of the Relative Stable Category; 1 Introduction; 2 Notation and Preliminaries; 3 Annihilators of Cohomology; 4 Additive Tensor Ideals; 5 Non-Noetherian Spectra; 6 Idempotent Modules; 7 Thick Subcategories by Inflation; 8 Empty Thick Tensor Ideals; 9 Examples; 10 One More Question; References; Nilpotent Elements in Hochschild Cohomology; 1 Introduction; 2 Preliminaries; 2.1 The Algebras; 2.2 Hochschild Cohomology; 2.3 Nilpotent Elements; 2.4 Independence of q; 3 A Minimal Bimodule Resolution; 3.1 The problem. 505 8 3.2 Relating to the one-sided resolution3.3 Minimal generators; 4 Homomorphisms and HHn(A); 4.1 Identities for homomorphisms; 4.2 The Proof of Proposition 4.3 for n+14; 4.3 Small Cases; References; Rational Cohomology and Supports for Linear Algebraic Groups; 1 Introduction; 2 Lecture I: Affine Group Schemes Over k; 2.1 Affine Group Schemes Over k; 2.2 Affine Group Schemes; 2.3 Characteristic p> 0; 2.4 Restricted Lie Algebras; 3 Lecture II: Algebraic Representations; 3.1 Algebraic Actions; 3.2 Examples; 3.3 Weights for G-Modules; 3.4 Representations of Frobenius Kernels. 505 8 4 Lecture III: Cohomological Support Varieties4.1 Indecomposable Versus Irreducible; 4.2 Derived Functors; 4.3 The Quillen Variety G and the Cohomological Support Variety GM; 5 Lecture IV: Support Varieties for Linear Algebraic Groups; 5.1 1-Parameter Subgroups; 5.2 p- Nilpotent Operators; 5.3 The Support Variety V(G)M; 5.4 Classes of Rational G-Modules; 5.5 Some Questions of Possible Interest; References; Anderson and Gorenstein Duality; 1 Introduction; 1.1 Motivation; 1.2 Description of Contents; 1.3 Conventions; 2 Anderson Duals; 2.1 Construction of Brown-Comenetz Duals. 505 8 2.2 Properties of Brown-Comenetz Duals2.3 Construction of Anderson Duals; 2.4 Properties of Anderson Duals; 3 The Gorenstein Condition; 3.1 Cellularization; 3.2 Morita Theory; 3.3 The Gorenstein Condition; 3.4 Gorenstein Duality; 3.5 Gorenstein Duality Relative to mathbbFp; 3.6 Mahowald-Rezk Duality; 4 Gorenstein Duality and Anderson Self-duality; 4.1 Nullifying HK; 4.2 Anderson Self-duality from Gorenstein Duality; 4.3 Gorenstein Duality from Anderson Self-duality; 5 Examples with Polynomial or Hypersurface Coefficient Rings; 5.1 The Čech Complex; 5.2 The Algebraic Context. 520 These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled "Groups, Representations, and Cohomology" and held from June 22 to June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016. The contents of the volume include a composite of both summer school material and workshop- derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph. D students transition to independent research. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Representations of groups|vCongresses. 650 0 Cohomology operations|vCongresses. 650 7 Groups & group theory.|2bicssc 650 7 Algebra.|2bicssc 650 7 Mathematical foundations.|2bicssc 650 7 MATHEMATICS|xAlgebra|xIntermediate.|2bisacsh 650 7 Representaciones de grupos|xCongresos|2embne 650 7 Cohomology operations|2fast 650 7 Representations of groups|2fast 655 2 Congress 655 7 proceedings (reports)|2aat 655 7 Conference papers and proceedings|2fast 655 7 Conference papers and proceedings.|2lcgft 700 1 Carlson, J. F. 700 1 Iyengar, Srikanth,|d1970- 700 1 Pevtsova, Julia. 711 2 Groups, Representations, and Cohomology (Workshop)|d(2015 :|cSkye, Island of, Scotland) 776 08 |iPrint version:|aCarlson, Jon F.|tGeometric and Topological Aspects of the Representation Theory of Finite Groups : PIMS Summer School and Workshop, July 27-August 5 2016.|dCham : Springer, ©2018|z9783319940328 830 0 Springer proceedings in mathematics & statistics ;|vv. 242. 856 40 |uhttps://rider.idm.oclc.org/login?url=https:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=1909402|zOnline ebook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this ebook|uhttp://guides.rider.edu/ebooks/ebsco 948 |d20240319|cEBSCO|tEBSCOebooksacademic NEW 1-26-24 6521 |lridw 994 92|bRID