CYTUVA

GIR - Singacom

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Contact Information

Antonio Campillo López
Campus Miguel Delibes, Paseo Belén, 7
Valladolid, Valladolid (47011) - A338
Send email
983423052
983423013
http://www.singacom.uva.es/ES/index.php

Basic Information

UniversityUniversidad de Valladolid
Center
DepartmentAlgebra, Mathematical Analysis, Geometry and Topology
Investigation GroupSingularities, Algebraic Geometry, Algebra, Commutative, Codification, Combinatorics, Computation and Optimization (SINGACOM)

Description

Objectives

The SINGACOM Group aims at research in several fields of mathematics: SINGularities, Algebraic Geometry, Commutative Algebra, COdification, COMbinatorics, COMputation and Optimization. Its objectives are the following:

a) Conducting basic and applied research on topics related to the research lines of the Group or related to them.
b) To carry out multidisciplinary research in mathematics and to identify applications in other scientific and technological fields.
c) Awareness and technical contribution on problems of social interest or demanded by the current context of the information society.
d) International and national cooperation with other research groups or qualified specialists in the topics of interest of the Group.
e) Contrast, diffusion and dissemination of the results obtained.
f) Training of researchers in the Group's own fields and in emerging fields whose methodology is related to the Group's interest.
g) Transmission of knowledge in the form regulated by the university system and promotion of culture in relation to the fields and topics of interest of the Group.
h) Transfer of knowledge to the technological and productive sectors.
i) Participation in broad initiatives or structures for the development of research in the fields and topics of interest of the Group.

The SINGACOM group works in four lines of research:

L1. Singularities. Classification and Resolution. Arches and Ratings.

Classification of singularities and equisingularity.
Resolution of singularities, methods and algorithms.
Arches spaces, motor integration. Applications.
Entire closing of ideals. Valuation spaces.

L2 Algebraic Geometry Noncommutative Geometry

Global geometry of meromorphic curves and vector fields.
Affine and projective algebraic geometry. Toric Geometry
Linear systems with assigned base conditions. Interpolation applications
Noncommutative Geometry Homological aspects

L3 Commutative algebra Computing. Coding.

Algebra and algebraic geometry applied.
Symbolic computing in algebraic geometry and singularities
Logic in computing. Complexity of algorithms.
Algebro ‐ geometric codes. Coding and decoding.

L4 Combinatorial Arithmetic. Optimization Zeta functions. Poincaré series.

Discrete math Graphs
Algebraic and arithmetic combinatorics. Combinatorial geometry Optimization
Local Algebra Graduations Valuations
Zeta functions. Poincaré series. Integration. Applications to the theory of singularities.

Other information

Number of researchers:

Technological Line(s):

- Experimental sciences

Applicability of technology:

Additional Information:

This GIR belongs to IMUVA (UVa Institute of Mathematical Research): http://www.imuva.uva.es/es

UNESCO Code:

1203 - Computer Sciences (see 3304)

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