Chris Hone

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20232026

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3 papers · 1 filter

math.RT2026

Torsion primes for spaces of commuting elements in Lie groups

Simon Gritschacher, Chris Hone

Let $G$ be a complex reductive group and $C_{m} (G)_{1}$ the identity component of the space of $m$ -tuples of commuting elements in $G$ . We prove that for every $m \geq 2$ , the integral…

math.AG2026

Real algebraic varieties and their intersection cohomology

Chris Hone

For a real variety with smooth point, we construct a complex of sheaves on its real points which behaves like intersection cohomology. This real geometric extension is (shifted) Ve…

math.RT2026

The geometry of tilting composition series via Richardson varieties

Joseph Baine, Chris Hone

We prove the (graded) Jordan--Hölder multiplicities of (mixed) tilting sheaves on flag varieties admit a geometric interpretation as the hypercohomology of certain sheaves on Richa…