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An algebraic groups perspective on Erd\H{o}s-Ko-Rado

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arxiv 2007.03707 v2 pith:ULKIVTAA submitted 2020-07-07 math.CO math.GR

Russ Woodroofe This is my paper · ORCID
classification math.COmath.GR
keywords theorems-ko-radoalgebraicperspectiveanalogyborelfixedgeneralizations
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We give a proof of the Erd\H{o}s-Ko-Rado Theorem using the Borel Fixed Point Theorem from algebraic group theory. This perspective gives a strong analogy between the Erd\H{o}s-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on spaces of nilpotent matrices.

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  1. Core-surface kinematic control of polarity reversals in advanced geodynamo simulations

    physics.geo-ph 2025-05 conditional novelty 8.0 of 10

    Polarity reversals in geodynamo simulations are triggered when stable stratification at the top of the core weakens subsurface upwellings, a kinematic control that decouples reversals from the interior force balance.

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