{ "id": "math/0603356", "version": "v2", "published": "2006-03-15T00:28:27.000Z", "updated": "2006-03-15T23:25:30.000Z", "title": "Derived equivalences and finite dimensional algebras", "authors": [ "Raphael Rouquier" ], "comment": "Article for the Proceedings of ICM 2006 Madrid (31 pages)", "categories": [ "math.RT" ], "abstract": "We discuss the homological algebra of representation theory of finite dimensional algebras and finite groups. We present various methods for the construction and the study of equivalences of derived categories: local group theory, geometry and categorifications.", "revisions": [ { "version": "v2", "updated": "2006-03-15T23:25:30.000Z" } ], "analyses": { "keywords": [ "finite dimensional algebras", "derived equivalences", "local group theory", "representation theory", "finite groups" ], "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......3356R" } } }