{"title":"On equivalences between categories of representations","authors":"A. Zimmermann","doi":"10.1063/1.5139120","DOIUrl":null,"url":null,"abstract":"We explain some of the goals of modern representation theory, aiming at categorical methods. We develop one of the most astonishing invariant, Hochschild (co-)homology and we explain on the example of the recent solution of a question due to Rickard how it is possible to reduce fairly abstract questions to explicit methods finally solved by computers.We explain some of the goals of modern representation theory, aiming at categorical methods. We develop one of the most astonishing invariant, Hochschild (co-)homology and we explain on the example of the recent solution of a question due to Rickard how it is possible to reduce fairly abstract questions to explicit methods finally solved by computers.","PeriodicalId":209108,"journal":{"name":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5139120","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We explain some of the goals of modern representation theory, aiming at categorical methods. We develop one of the most astonishing invariant, Hochschild (co-)homology and we explain on the example of the recent solution of a question due to Rickard how it is possible to reduce fairly abstract questions to explicit methods finally solved by computers.We explain some of the goals of modern representation theory, aiming at categorical methods. We develop one of the most astonishing invariant, Hochschild (co-)homology and we explain on the example of the recent solution of a question due to Rickard how it is possible to reduce fairly abstract questions to explicit methods finally solved by computers.
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