most recent 30 from http://mathoverflow.net 2013-05-19T20:06:41Z http://mathoverflow.net/feeds/question/92144 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/92144/what-is-the-equivariant-derived-category-good-for Jan Weidner 2012-03-25T08:41:17Z 2012-03-25T08:41:17Z

<p>Given a topological group acting on a topological space, Bernstein and Lunts construct the equivariant derived category, which looks like the derived category of the quotient would, if action was free ("derived category of the quotient stack"). </p> <p>What are applications of this formalism to representation theory or other subjects?</p> <p>In their book Bernstein and Lunts give a beautiful description of the equivariant derived category of a point (for a reasonable Lie group). Are there applications of this specific result?</p>