Matthew B. Young

activity

20232026

collaborators

4 papers

math.QA2026

Relative modular categories from $osp (2∣2 n)$

Seth Porter, Matthew B. Young

We construct relative modular categories from the weighted representation theory of the unrolled quantum group of the orthosymplectic Lie superalgebra $osp (2∣2 n)$ .

math.CT2024

Hall algebras via 2-Segal spaces

Benjamin Cooper, Matthew B. Young

This is an introduction to Hall algebras from the perspective of $2$ -Segal spaces or decomposition spaces, as introduced by Dyckerhoff and Kapranov and Gálvez-Carrillo, Kock and To…

math.QA2024

Non-semisimple topological field theory and $Z$ -invariants from $osp (1∣2)$

Francesco Costantino, Matthew Harper, Adam Robertson +1

We construct three-dimensional non-semisimple topological field theories from the unrolled quantum group of the Lie superalgebra $osp (1∣2)$ . More precisely, the qu…

math.RT2023

Frobenius--Schur indicators for twisted Real representation theory and two dimensional unoriented topological field theory

Levi Gagnon-Ririe, Matthew B. Young

We construct a two dimensional unoriented open/closed topological field theory from a finite graded group $π : G^↠ {1, - 1}$ , a $π$ -twisted $2$ -cocycle $θ^$ …

Relative modular categories from osp(2∣2n)

Hall algebras via 2-Segal spaces

Non-semisimple topological field theory and Z-invariants from osp(1∣2)

Frobenius--Schur indicators for twisted Real representation theory and two dimensional unoriented topological field theory

Relative modular categories from $osp (2∣2 n)$

Non-semisimple topological field theory and $Z$ -invariants from $osp (1∣2)$