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CYTUVA

GIR - SINGularities, Algebraic Geometry, Algebra, COnmutative, COdification, COMbinatory, COMputation and Optimization

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Contact Information

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

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:

4

Technological Line(s):

- Experimental sciences

Applicability of technology:

No

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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