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Results tagged with perverse-sheaves
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user 32972
2
votes
on a characterisation of the intersection complex
I do this all over $\mathbb{C}$. By [BBD] this should not be a problem.
Assume $X=\mathbb{C}P^1$, $U=\mathbb{C}$, $S_1= U$, $S_0=X-U$. Let further $j_i:S_i\hookrightarrow X$ be the inclusion maps. Th …
- 2,554
8
votes
1
answer
517
views
Restriction to Levi Subgroups and the Affine Grassmannian
Let $G$ be a complex reductive group, $L\subset G$ a Levi subgroup and $Rep(G)$ the category of rational representations of $G$.
My Question:
What is the geometric analogue of the restriction f …
- 2,554
2
votes
1
answer
683
views
Derived Push-Forward of Morphism of Perverse Sheaves and Translation Functors
I hope this question is not too vague.
Let $G$ be a complex reductive group, $B$ a Borel subgroup of $G$, and $P$ a parabolic containing $B$.
Denote by $\pi:G/B\to G/P$ the canonical map. Consider th …
- 2,554
3
votes
1
answer
303
views
A question on algebraic loop groops
Setup:
Let $\mathcal{K}=\mathbb{C}((t))$, $\mathcal{O}:= \mathbb{C}[[t]]$ and $G$ be a reductive algebraic group (over $\mathbb{C}$). Let further $\mathcal{K}_n$ denote the $\mathcal{O}$-ideal in $\m …
- 2,554