Central Degeneration of Semi-Infinite Orbits in Type A Affine Grassmannians — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The search results are a scattered mix of pedagogical videos and one substantive arXiv paper on affine Grassmannian degenerations; the core mathematical signal is the central degeneration of semi-infinite orbits in type A, tied to local models of Shimura varieties and Gaitsgory's central sheaves. | MATH: The paper (arXiv:1604.08641v8) concerns the central degeneration of the affine Grassmannian GrG for G = SLn (type A). Key objects: semi-infinite orbits Sλ (indexed by coweights λ), their central degeneration S̅λ0, and convex polytopes encoding the combinatorics. The degeneration parameter is a central element z → 0, with the special fiber being a union of Schubert varieties. The relevant structure is the affine Grassmannian GrG = G(ℂ((t)))/G(ℂ[[t]]), with the central degeneration arising from the ℂ×-action scaling t. No explicit
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026central,
title = {{Central Degeneration of Semi-Infinite Orbits in Type A Affine Grassmannians — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23553750},
url = {https://zenodo.org/records/23553750},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Central Degeneration of Semi-Infinite Orbits in Type A Affine Grassmannians — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23553750
UR - https://zenodo.org/records/23553750
AB - FINDING: The search results are a scattered mix of pedagogical videos and one substantive arXiv paper on affine Grassmannian degenerations; the core mathematical signal is the central degeneration of semi-infinite orbits in type A, tied to local models of Shimura varieties and Gaitsgory's central sheaves. | MATH: The paper (arXiv:1604.08641v8) concerns the central degeneration of the affine Grassmannian Gr_G for G = SL_n (type A). Key objects: semi-infinite orbits S^λ (indexed by coweights λ), their central degeneration S̅^λ_0, and convex polytopes encoding the combinatorics. The degeneration parameter is a central element z → 0, with the special fiber being a union of Schubert varieties. The relevant structure is the affine Grassmannian Gr_G = G(ℂ((t)))/G(ℂ[[t]]), with the central degeneration arising from the ℂ^×-action scaling t. No explicit Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -