On the relation between intersection cohomology and representation theory in positive characteristic
By W. Soergel. 2000
99 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f27c150ca4b60e30e2d4f711efe1a0fb9c9d37bc
How researchers see this paper
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In Discrete Mathematics and Combinatorics
- Geordie Williamson
- Simon Riche
- Ben Elias
- L. T. Jensen
- Shotaro Makisumi
- Pramod N. Achar
- P. Fiebig
- T. Arakawa
In Geometry and Topology
- Geordie Williamson
- Ben Elias
- Simon Riche
- L. T. Jensen
- P. Fiebig
- Shotaro Makisumi
- Pramod N. Achar
- C. Mautner
In Mathematical Physics
- Geordie Williamson
- Ben Elias
- Simon Riche
- L. T. Jensen
- P. Fiebig
- C. Mautner
- D. Juteau
- Shotaro Makisumi
Citations in the corpus
- Schubert calculus and torsion explosion (2013, background): “The fact that Lusztig’s conjecture implies (1) follows (with some effort) from [Soe00].”
- Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties (2010, background): “This answers a (stronger version of) a question of Soergel (cf. [34]).”
- Sheaves on affine Schubert varieties, modular representations and Lusztig's conjecture (2007, unknown): “We define the category I of special equivariant sheaves on F l following [Soe00].”
- The two-color Soergel calculus (2013, background): “We refer the reader to [37] for a purely algebraic account of Soergel bimodules, and to numerous other papers [33, 34, 35, 36] for the complete story.”
- Koszul duality for Kac–Moody groups and characters of tilting modules (2017, background): “On the other hand, ideas of Soergel, Elias, He, and the fourth author led to a uniform construction of many counterexamples [S5, EW, HW, W3].”
- The $p$-Canonical Basis for Hecke Algebras (2015, background): “ty function). Their work was motivated by Soergel’s idea to consider another class of objects as \replacements" for intersection cohomology complexes with positive characteristic coecients (see [Soe00]). Observe that while Xis still a variety (resp. an indvariety) over C equipped with its class”
- Parity Sheaves (2009, background): “(1) Such theorems have been established for the finite flag varieties if k is a field of characteristic larger than the Coxeter number by Soergel in [Soe00].”