Jason Semeraro

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math.RT2026

On character tables for fusion systems

Thomas Lawrence, Jason Semeraro

A character table $X$ for a saturated fusion system $F$ on a finite $p$ -group $S$ is the square matrix of values associated to a basis of the lattice of virtual $\mathcal…

math.RT2025

Partial character tables for $Z_{ℓ}$ -spetses

Radha Kessar, Gunter Malle, Jason Semeraro

Let $G$ be a simply connected $Z_{ℓ}$ -spets, let $q$ be a prime power, prime to $ℓ$ and let $S$ be the underlying Sylow $ℓ$ -subgroup. Firstly, motivate…

math.RT2025

Weight conjectures for fusion systems on an extraspecial group

Radha Kessar, Markus Linckelmann, Justin Lynd +1

In a previous paper, we stated and motivated counting conjectures for fusion systems that are purely local analogues of several local-to-global conjectures in the modular represent…

math.RT2024

Weight conjectures for Parker--Semeraro fusion systems

Radha Kessar, Jason Semeraro, Patrick Serwene +1

We prove that the Parker--Semeraro systems satisfy six of the nine Kessar--Linckelmann--Lynd--Semeraro weight conjectures for saturated fusion systems. As a by-product we obtain th…

On character tables for fusion systems

Partial character tables for Zℓ​-spetses

Weight conjectures for fusion systems on an extraspecial group

Weight conjectures for Parker--Semeraro fusion systems

Partial character tables for $Z_{ℓ}$ -spetses