CoMADmRT: Computational Methods in Algebra, D-modules and Representation Theory

CoMADmRT: "Computational Methods in Algebra, D-modules and Representation Theory" (PID2020-117843GB-I00) is a national spanish reasearch project (Programa estatal de I+D+i orientada a los retos de la sociedad, convocatoria 2020 - Sep 1, 2021 - Aug 30, 2025)
Grant PID2020-117843GB-I00 funded by MICIU/AEI/10.13039/501100011033.

Research topics

D-módules and singularities.

Hypergeometric D-modules. Formal solutions for special parameters. Holonomic rank of A-hypergeometricmodules vs. normalized Volume of the matrix A. Hypergeometric integrals in the non-regular case. Multisummability of formal solutions.
Logarithmic D-modules and quasifree divisors.
b-functions of holonomic modules.

Combinatorial representation theory and algebraic combinatorics.

Plethysm coefficient and other representation-theoretic structural constants. Piecewise quasipolynomial formulas.
Applications of algebraic combinatorics

Effective Methods for Lie Algebras.

Algebraic and effective Methods in Cellular differentation.

Members

Project Heads

Former projects

• MTM2016-75024-P (30 Dec 2016 - 29 Jun 2021)
• MTM2013-40455-P (1 Jan 2014 - 31 Dec 2016, extended 31 Dec 2017)
• MTM2010-19336 (1 Jan 2011 - 31 Dec 2013, extended 31 Dec 2014)
• MTM2007-64509 (1 Oct 2007 - 31 Jul 2011)
• MTM2004-01165 (13 Dec 2004 - 12 Dec 2007)
• BFM2001-3164 (28 Dec 2011 - 27 Dec 2004)