The Parabolic K-motivic Hecke Category
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911284403896320 |
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| author | Eberhardt, Jens Niklas Eteve, Arnaud |
| author_facet | Eberhardt, Jens Niklas Eteve, Arnaud |
| contents | We define and study the parabolic K-motivic Hecke category of a (possibly disconnected) Kac-Moody group. Our main result is a combinatorial description via singular K-theory Soergel bimodules which arise from the equivariant algebraic K-theory of parabolic Bott-Samelson resolutions. In the spherical affine case, the K-motivic Hecke category serves as one side of a conjectural quantum K-theoretic derived Satake equivalence, addressing a conjecture of Cautis-Kamnitzer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19618 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Parabolic K-motivic Hecke Category Eberhardt, Jens Niklas Eteve, Arnaud Representation Theory Algebraic Geometry K-Theory and Homology We define and study the parabolic K-motivic Hecke category of a (possibly disconnected) Kac-Moody group. Our main result is a combinatorial description via singular K-theory Soergel bimodules which arise from the equivariant algebraic K-theory of parabolic Bott-Samelson resolutions. In the spherical affine case, the K-motivic Hecke category serves as one side of a conjectural quantum K-theoretic derived Satake equivalence, addressing a conjecture of Cautis-Kamnitzer. |
| title | The Parabolic K-motivic Hecke Category |
| topic | Representation Theory Algebraic Geometry K-Theory and Homology |
| url | https://arxiv.org/abs/2511.19618 |