D-modules and Singularities
Scope of the special session
The goal of this session is to present a significant part of the current research in the relation between the theories of D-modules and of singularities. These theories have seen a remarkable increase in the number of publications in the last years. Among other topics, in this session there will be talks about: 1) Singularities and hyperplane arrangements, 2) Arithmetic D-modules and p-adic cohomology, 3) The Riemann-Hilbert problem for holonomic D-modules, 4) Singularities of hypergeometric D-modules, 5) Asymptotic developments of solutions of differential systems, and 6) Perverse sheaves and representation theory.
Organisers
- Andrea D'Agnolo (University of Padova, Italy)
- Francisco Jesús Castro Jiménez (University of Sevilla, Spain) - castro@us.es
- Luis Narváez Macarro (University of Sevilla, Spain)
Abstracts and schedule
Below you can download the schedule and the abstracts of all talks of this special session.
Speakers
- Takuro Abe (Kyoto University, Japan)
Intersection points and Betti numbers of line arrangements
- Tomoyuki Abe (University of Tokyo, Japan)
Arithmetic D-modules and Langlands correspondence
- Alberto Castaño Domínguez (University of Seville, Spain)
Dwork families and D-modules
- Andrea D'Agnolo (University of Padova, Italy)
Riemann-Hilbert correspondence for irregular holonomic D-modules
- María Cruz Fernández Fernández (University of Seville, Spain)
L-characteristic cycles of A-hypergeometric D-modules
- Michel Granger (University of Angers, France)
Derivations of negative degree on quasihomogeneous isolated complete intersection singularities
- Teresa Monteiro-Fernandes (University of Lisbon, Portugal)
Relative Riemann-Hilbert correspondance in dimension one
- Giovanni Morando (Universities of Padova and Augsburg, Italy and Germany)
D-modules and sheaves on subanalytic sites
- Luca Prelli (University of Lisbon, Portugal)
A functorial approach to asymptotic expansions
- Kiyoshi Takeuchi (University of Tsukuba, Japan)
Monodromies and asymptotic expansions at infinity of confluent A-hypergeometric functions