In this talk I will give an overview of the main concepts and results in D-module theory, and then switch to the notion of relative D-module. I will explain the main motivation for the study of holonomic relative modules given by Mochizuki's notion of mixed twistor D-module. We will explain the Riemann-Hilbert correspondence in this case as a joint work with Claude Sabbah.
Speaker:
Teresa Monteiro Fernandes
Institution:
Universidade de Lisboa, CMAF-CIO