APPLIED MATHEMATICS AND THEIR TECHNOLOGIES
1.Name of the Project:
2.Name of the Project:
Other Directions related with this research:
3.Name of the Project:
Name of the Project:
REPORTS : SOME PURE MATHEMATICS RELATED WITH THE TECHNOLOGICAL RESEARCH TO DEVELOP
 F. Bulnes, Cohomology of Moduli Spaces in Differential Operators Classification to the Field Theory, XLII-National Congress of Mathematics of SMM, Zacatecas, Mexico, 2009.
Name of the Project:
Integral theory of the Universe
PROGRAMAS DE INVESTIGACIÓN INTERNACIONALES
Cohomology of Moduli Spaces, Differential Operators Classification y Field Theory
This programme is set up as to clearly display the multifaceted aspects of the theory of moduli spaces with two key examples taking the past research: the moduli space of algebraic curves and Riemann surfaces and the moduli space of Abelian varieties. For example, we will not only get into the geometrical side of moduli spaces of curves, but also touch on its combinatorial features and homotopical aspects. Furthermore, we will discuss the relationship with classical integrable hierarchies of partial differential equations with special attention being paid to the role of the moduli space of curves in modern enumerative geometry (where there are numerous unsolved conjectures inspired by string theory).
Similarly, both the geometric and arithmetic aspects of the moduli spaces of Abelian varieties will be discussed. Applications will include the theory of curves, but also modular forms.
Programming and Manipulation of non-Newtonian Fluids
Description: Using the visco-elasticity phenomena of the bubbles of non-Newtonian fluids and their properties of quasi-relaxation and memory are developed spectral methods and of nanotechnologies to program the synergic behavior of a fluid and their programming of their memory to different applications: determination of rheology devices, fluid configuration of the space-time, fluid nano-particles, inertial and gyroscopic devices, etc.
Dr. Francisco Bulnes (President)
Dr. Alejandro Tello (Secretary)
-Realize from two to three international publications in fluid mechanics journals
-Realize theoretical and experimental reports of expositions in international stages
-Obtain some devices and experimental developments to rheology.