Seminari del Dipartimento di Matematica

Seminario del 2024

Francesco Galuppi

Signature tensors of paths

algebra e geometria

To each smooth path it is possible to associate a sequence of tensors that encode its geometric features. These signature tensors are powerful tools in stochastics analysis and data analysis, and recently they started attracting the geometers' attention. In this talk I will present the algebraic geometry viewpoint on signature tensors: the varieties they parametrize, their rank and their symmetries.