{"title":"Perverse Sheaves and Applications to Representation Theory","authors":"Pramod N. Achar","doi":"10.1090/surv/258","DOIUrl":"https://doi.org/10.1090/surv/258","url":null,"abstract":"| Linear algebraic Several complex variables and analytic spaces – Complex singularities – Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects). | Group theory and generalizations – Linear algebraic groups and related topics – Representation theory for linear algebraic groups. | Algebraic geometry – Special varieties – Grassmannians, Schubert vari- eties, flag manifolds. | Nonassociative rings and algebras – Lie algebras and Lie superalgebras – Coadjoint orbits; nilpotent varieties. | Nonassociative rings and algebras – Lie algebras and Lie superalgebras – Quantum groups (quantized enveloping algebras) and related deformations.","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"337 16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123232362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nearby and vanishing cycles","authors":"Prof. Bruno Chiarellotto, L. Migliorini","doi":"10.1090/surv/258/04","DOIUrl":"https://doi.org/10.1090/surv/258/04","url":null,"abstract":"Timetable: 10 hrs. Lectures on April 2012 (see the calendar), Room 2BC/30, Torre Archimede. Course requirements: Basic algebraic and differential geometry. sheaf theory. basic homology and cohomology theories. Examination and grading: Oral exam. SSD: MAT/03 Geometry Aim: We will investigate the behaviour of some invariants of a family of varieties when they approach a singularity. This study can be understood in a geometric framework but also in a more differential and arithmetic ones (heart of categories and algebraic analysis). Course contents: 1. The derived category of constructible sheaves. Verdier duality. 2. Intersection cohomology and perverse sheaves. 3. The perverse cohomology and some related theorems. 4. The decomposition theorem. 5. Some recent development. Ngo’s support theorem","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"22 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133120556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Category theory and homological algebra","authors":"","doi":"10.1090/surv/258/11","DOIUrl":"https://doi.org/10.1090/surv/258/11","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116946959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Capacities and fine properties of Sobolev functions","authors":"","doi":"10.1090/surv/257/05","DOIUrl":"https://doi.org/10.1090/surv/257/05","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126662890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Weighted maximal and Poincaré inequalities","authors":"","doi":"10.1090/surv/257/09","DOIUrl":"https://doi.org/10.1090/surv/257/09","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128295663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sobolev and Poincaré inequalities","authors":"","doi":"10.1090/surv/257/03","DOIUrl":"https://doi.org/10.1090/surv/257/03","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121687832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lipschitz and Sobolev functions","authors":"","doi":"10.1090/surv/257/02","DOIUrl":"https://doi.org/10.1090/surv/257/02","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121044474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
求助内容：
应助结果提醒方式：