Hecke categories, idempotents, and commuting stacks
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929620313440256 |
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| author | Gorsky, Eugene Neguţ, Andrei |
| author_facet | Gorsky, Eugene Neguţ, Andrei |
| contents | We formulate a connection between a topological and a geometric category. The former is the idempotent completion of the (horizontal) trace of the affine Hecke category, while the latter is the equivariant derived category of the (semi-nilpotent) commuting stack. This provides a more precise and improved version of our proposal in [13]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05215 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hecke categories, idempotents, and commuting stacks Gorsky, Eugene Neguţ, Andrei Geometric Topology Algebraic Geometry Representation Theory We formulate a connection between a topological and a geometric category. The former is the idempotent completion of the (horizontal) trace of the affine Hecke category, while the latter is the equivariant derived category of the (semi-nilpotent) commuting stack. This provides a more precise and improved version of our proposal in [13]. |
| title | Hecke categories, idempotents, and commuting stacks |
| topic | Geometric Topology Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2406.05215 |