Jason Semeraro

collaborators

5 papers

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.GR2026

Fusion systems related to polynomial representations of $SL_{2} (q)$

Valentina Grazian, Chris Parker, Jason Semeraro +1

Let $q$ be a power of a fixed prime $p$ . We classify up to isomorphism all simple saturated fusion systems on a certain class of $p$ -groups constructed from the polynomial represen…

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.GR2025

Spectra of subrings of cohomology generated by characteristic classes for fusion systems

Ian J. Leary, Jason Semeraro

If $F$ is a saturated fusion system on a finite $p$ -group $S$ , we define the Chern subring $C h (F)$ of $F$ to be the subring of the mod- $p$ cohomology…