Speaker:
Guillem Blanco (Universitat Politècnica de Catalunya)
Email:
guillem.blanco@upc.eduLocation:
Seminario I del IMUS
Date:
Wed, 26 nov 2025 10:30
I defended my PhD thesis in 2020 at Polytechnic University of Catalonia (UPC). After being a postdoctoral researcher at KU Leuven for 5 years, I recently rejoined UPC as an Assistant Professor. My main interests are the study of algebraic singularities and the connections, pun intended, with the theory of D-modules.
The Gauss-Manin system of an isolated hypersurface singularity is a classical example of a regular holonomic D-module carrying a Hodge filtration. Its relevance comes from the connection with the local Bernstein-Sato polynomial, the monodromy, and the spectrum of the singularity. In this talk, we will define the Gauss-Manin system of an isolated complete intersection singularity (ICIS) and study its Hodge filtration using deformation theory and local cohomology modules. In particular, we will relate the Hodge filtration to a generalized Brieskorn lattice. Moreover, using recent results on rational and Du Bois singularities, we will recover the microlocal structure and the link with b-functions, generalizing the hypersurface case.