Semianrio di Analisi Algebrica e Complessa: “Riemann-Hilbert correspondence for mixed~twistor D-modules”

Giovedì 3 Novembre 2016, ore 10:00 - Aula 2BC30 - Teresa Monteiro Fernandes


Giovedì 3 Novembre 2016 alle ore 10:00 in Aula 2BC30, Teresa Monteiro Fernandes (Lisbona) terrà una conferenza dal titolo “Riemann-Hilbert correspondence for mixed~twistor D-modules”.
The subject of this talk is a joint work with C. Sabbah. I shall start by explaining the notion of regularity for a relative holonomic D-module in the sense of our joint work dedicated to the study of the De Rham complex for such modules. Next I shall explain how to construct a quasi-inverse functor for the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes, thus concluding the essential surjectivity of the latter functor. Finally I shall explain how restricting to relative D-modules underlying a regular mixed twistor D-module allows to conclude the left quasi-inverse property for this functor.