[Todos CMAT] geometria algebraica numerica -- semianrio de algebra

Alvaro Rittatore alvaro en cmat.edu.uy
Mar Dic 4 14:11:40 -03 2018


Hola a todos

este lunes 10 de diciembre es la última charla del año del seminario de
Álgebra y temas afines. Hablara Danielle Brake (University of Wisconsin Eau
Claire)

Título: Theory and Applications of Numerical Algebraic Geometry

Resumen
Polynomials are everywhere.  Designing windshield wiper mechanisms,
modeling stoichiometric chemical reactions, nonlinear optimization and
control, and many other scenarios, all generate polynomial systems -- and
demand they be solved.  The functions can be univariate, or multivariate.
The systems can be structured, or dense.  The solutions can be sets of
points, or entire positive-dimensional spaces.  And they can be computed in
a variety of ways.

Numerical algebraic geometry is a field of computational mathematics which
solves and manipulates polynomial systems primarily using numerical
continuation.  The field is highly application-driven, and continues to
mature, both in terms of theoretical boundaries and software
implementations.  Horizons include self-tuning trackers and systems having
billions of solutions.  This talk will discuss numerical algebraic geometry
-- its motivations, incarnations, and applications.

El seminari oes le lunes a las13:30 en el piso 14 del Cmat, , pero como
siempre, están todos invitados a tomar un café antes del seminario;
alvaro
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