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
 

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