Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Achar, P. N."'
Autor:
Achar, Pramod N., Bourque, Andrea
We give a "lattice-theoretic" description of the global Schubert variety for $\mathrm{GL}_n$ associated to any dominant coweight.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2412.01962
Autor:
Achar, Pramod N., Chatterjee, Tamanna
Let $V$ be a finite-dimensional complex vector space. Assume that $V$ is a direct sum of subspaces each of which is equipped with a nondegenerate symmetric or skew-symmetric bilinear form. In this paper, we introduce a stratification of the Grassmann
Externí odkaz:
http://arxiv.org/abs/2411.03158
We extend the ramified geometric Satake equivalence due to Zhu (for tamely ramified groups) and the third named author (in full generality) from rational coefficients to include modular and integral coefficients.
Comment: 79 pages
Comment: 79 pages
Externí odkaz:
http://arxiv.org/abs/2403.10651
Autor:
Achar, Pramod N., Riche, Simon
In this paper we generalize and study a notion of (unipotent) nearby cycles over a higher dimensional base based on Be\u{i}linson's description of unipotent nearby cycles, following an idea of Gaitsgory. This generalization, in the setting of affine
Externí odkaz:
http://arxiv.org/abs/2305.11696
In this paper we determine the scheme-theoretic fixed points of pinned reductive group schemes acted upon by a group of pinning-preserving automorphisms. The results are used in a companion paper to establish a ramified geometric Satake equivalence w
Externí odkaz:
http://arxiv.org/abs/2212.10182
Autor:
Achar, Pramod N., Riche, Simon
Building on a geometric counterpart of Steinberg's tensor product formula for simple representations of a connected reductive algebraic group $G$ over a field of positive characteristic, and following an idea of Arkhipov--Bezrukavnikov--Braverman--Ga
Externí odkaz:
http://arxiv.org/abs/2203.03530
Autor:
Achar, Pramod N., Riche, Simon
We prove an isomorphism for simple perverse sheaves on the affine Grassmannian of a connected reductive algebraic group that is a geometric counterpart (in light of the Finkelberg-Mirkovi\'c conjecture) of the Steinberg tensor product formula for sim
Externí odkaz:
http://arxiv.org/abs/2109.11980
Autor:
Achar, Pramod N., Hardesty, William
Let $G$ be a connected reductive group over an algebraically closed field $\Bbbk$. Under mild restrictions on the characteristic of $\Bbbk$, we show that any $G$-module with a good filtration also has a good filtration as a module for the reductive p
Externí odkaz:
http://arxiv.org/abs/2106.04374
Autor:
Achar, Pramod N., Hardesty, William
Let $G$ be a connected reductive algebraic group over an algebraically closed field $\Bbbk$ of characteristic $p \ge 0$, and let $\mathcal{N}$ be its nilpotent cone. Under mild hypotheses, we construct for each nilpotent $G$-orbit $C$ and each indeco
Externí odkaz:
http://arxiv.org/abs/2106.04268
Autor:
Achar, Pramod N., Hardesty, William
We construct a co-$t$-structure on the derived category of coherent sheaves on the nilpotent cone $\mathcal{N}$ of a reductive group, as well as on the derived category of coherent sheaves on any parabolic Springer resolution. These structures are em
Externí odkaz:
http://arxiv.org/abs/2012.06098