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2 votes

Reference for two facts about perverse sheaves on G/B

A couple of things (I meant to just have this as a comment but it got too long): I think with regard to the first fact, a lot of people realised it all around the same time — the article by Springer w …
Kevin McGerty's user avatar
4 votes

Examples for Decomposition Theorem

This is not quite in the spirit of the question, but it seems worth pointing out that a lot of what you state when you ask the question is pretty imprecise: if X is a variety, and U is an open dense s …
Kevin McGerty's user avatar
17 votes

Why is the decomposition theorem awesome?

My answer is maybe more to praise the glory of perverse sheaves than the decomposition theorem exactly, but bear with me. To appreciate the theorem, I'd say first get a sense of what Hodge theory for …
Kevin McGerty's user avatar
3 votes

What do the local systems in Lusztig's perverse sheaves on quiver varieties look like?

Another thing perhaps worth mentioning is that, outside the finite type case, you have to do some real work to find a stratification with respect to which the perverse sheaves constituting the canonic …
Kevin McGerty's user avatar