SEMINARIO DE ESTUDIANTES DE ANÁLISIS Y GEOMETRÍA
Conferenciante: Francisco Reyes (Universidad de Granada)
SEMINARIO DE ESTUDIANTES DE ANÁLISIS Y GEOMETRÍA
Conferenciante: Francisco Reyes (Universidad de Granada)
SEMINARIO DE ESTUDIANTES DE ANÁLISIS Y GEOMETRÍA
Conferenciante: Francisco Javier Martínez Aguinaga (Universidad Complutense de Madrid)
Abstract: StudentsSeminarJavierMartinezAguinaga
Conferenciante: Stefanella Boatto (Instituto de Matematica, Universidade Federal do Rio de Janeiro)
Abstract: Data Science is a highly evolving discipline that presents many challenges. For example, in the case of an epidemic, how can we identify which socio-economic and social parameters, tourist mobility, prevention and control measures have the greatest impact on the dynamics of an epidemic? In recent years Topological Data Analysis has proved to be a powerful tool, a lens to highlight some dominant features of collective phenomena and explore large and complex data sets. In this talk we will see a brief introduction and how this new highly multidisciplinary tool - bringing together areas such as Space-Time Analysis, Algebraic Topology, Complex Networks, Linear algebra and Computation- is quite useful to characterise the COVID-19 dynamics. Socio-economical aspects will also be presented.
SEMINARIO DE GEOMETRÍA
Conferenciante: Javier Martínez-Aguinaga (Universidad Complutense de Madrid)
SEMINARIO DE ESTUDIANTES DE ANÁLISIS Y GEOMETRÍA
Conferenciante: Tjaša Vrhovnik (Universidad de Granada)
SEMINARIO DE GEOMETRÍA
Conferenciante: Pedro Gaspar (PUC Chile)
Abstract: The Allen–Cahn equation is a semilinear parabolic partial differential equation that models phase-separation phenomena and which provides a regularization for the mean curvature flow (MCF), one of the most studied geometric flows. In this talk, we employ Morse-theoretical considerations to construct eternal solutions of the Allen–Cahn equation that connect unstable equilibria in compact manifolds. We describe the space of such solutions in a round 3-sphere under a low-energy assumption, and indicate how these solutions can be used to produce geometrically interesting eternal MCFs.
This is joint work with Jingwen Chen (University of Pennsylvania).
SEMINARIO DE GEOMETRÍA
Conferenciante: Rayssa Caju (Universidad de Chile)
Abstract: In this talk, our goal is to discuss the existence of at least two distinct conformal metrics with prescribed gaussian curvature and geodesic curvature respectively, \(K_{g}= f + \lambda\) and \(k_{g}= h + \mu\), where f and h are nonpositive functions and \lambda and \mu are positive constants. Utilizing Struwe's monotonicity trick, we investigate the blowup behavior of the solutions and establish a non-existence result for the limiting PDE, eliminating one of the potential blow-up profiles.
SEMINARIO DE ECUACIONES DIFERENCIALES
Conferenciante: Fabio de Regibus (Universidad de Granada)
Abstract: We are interested in qualitative properties of solutions of the semilinear elliptic problems with zero Dirichlet boundary conditions in bounded and smooth domains. We want to focus on the relations between the shape of the solutions and the one of the domain. In particular we investigate the number of critical points of the solutions with respect to the convexity of the domain. Both the cases of positive and sign-changing solutions are treated. Works in collaboration with L. Battaglia (Università di Roma Tre) and M. Grossi (Università La Sapienza).