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arxiv: 1403.1647 · v1 · pith:UQVI23WOnew · submitted 2014-03-07 · 🧮 math.RT

Parity sheaves and tilting modules

Daniel Juteau , Carl Mautner , Geordie Williamson This is my paper
classification 🧮 math.RT
keywords modulesparitysheavestiltingaffinebiggerboundcharacteristic
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We show that tilting modules and parity sheaves on the affine Grassmannian are related through the geometric Satake correspondence, when the characteristic is bigger than an explicit bound.

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  1. Orthogonal webs and semisimplification

    math.RT 2024-01 unverdicted novelty 4.0

    A diagrammatic category equivalent to tilting representations of the orthogonal group is defined and its semisimplification is described, valid in characteristic not equal to two.