Motivic realisations of singularity categories and vanishing cycles
De Marco Robalo
In this talk I will explain a comparison result establishing an identification of the L-adic realisation of the dg-category of matrix factorisations of a Landau-Ginzburg model over a complete discrete valuation ring with potential induced by a uniformizer, with a 2-periodic version of the inertia-invariant L-adic vanishing cohomology. This is joint work with A. Blanc, B. Toën, and G. Vezzosi.