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Homotopy theory, homological algebra, algebraic treatments of manifolds.

6 votes
0 answers
200 views

A pairing between “Schubert” $H_*(\operatorname{Gr})$ and “Langlands” $H^*(\operatorname{Gr})$

Let $\operatorname{Gr}$ be an affine Grassmanian of some complex semisimple group $G$. Of course, there is a well-known description of $H^*(\operatorname{Gr})$ in terms of Langlands dual Lie algebra. …
Vanya Karpov's user avatar
2 votes
1 answer
218 views

Fixed points cohomology via Lannes T-functor

Is there any reference to the proof of following: let $T$ denote the Lannes functor. Then (see the link above for more details) for any finite $E$-complex $X$ (where $E$ is finite-dimensional $\mathbb …
Vanya Karpov's user avatar