{ "id": "1502.04914", "version": "v1", "published": "2015-02-17T15:03:38.000Z", "updated": "2015-02-17T15:03:38.000Z", "title": "Soergel calculus and Schubert calculus", "authors": [ "Xuhua He", "Geordie Williamson" ], "comment": "23 pages, many TikZ pictures, best viewed in colour and pdf", "categories": [ "math.RT" ], "abstract": "We reduce some key calculations of compositions of morphisms between Soergel bimodules (\"Soergel calculus\") to calculations in the nil Hecke ring (\"Schubert calculus\"). This formula has several applications in modular representation theory.", "revisions": [ { "version": "v1", "updated": "2015-02-17T15:03:38.000Z" } ], "analyses": { "keywords": [ "schubert calculus", "soergel calculus", "modular representation theory", "calculations", "soergel bimodules" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150204914H" } } }