Notícias

Titulo: On well posedness for some inhomogeneous Schrodinger-type equations
Palestrante: Carlos Guzman Jimenez (UFF)

Data: 28/11/2019
Horário: 12h
Sala: C116

Confira o resumo AQUI.

Título: Tensor decompositions and algorithms, with applications to tensor learning.

Orientador: Gregorio Malajovitch Muñoz

Data: 26 de novembro de 2019 (terça-feira)
Horário: 10h
Local: IM-UFRJ, CT - C119

Banca Examinadora:

Gregorio Malajovitch Muñoz (Presidente) – IM/UFRJ
Bernardo Freitas Paulo da Costa – IM/UFRJ
Nick Vannieuwenhoven – K.U. Leuven, Bélgica
André Lima Ferrer de Almeida – UFC
Amit Bhaya – UFRJ
Fábio Antonio Tavares Ramos (Suplente) – IM/UFRJ

No dia 29 de novembro de 2019, com início às 10hrs, acontecerá mais uma edição do Colóquio de Geometria e Aritmética (COLGA). O evento acontecerá no Instituto de Matemática Pura e Aplicada (IMPA), localizado na cidade do Rio de Janeiro.

Programação

10:00: Inder Kaur (Freie Universität Berlin)
Título: The Hodge conjecture for moduli spaces of stable sheaves over nodal curves
Resumo: The Hodge conjecture is one of the most prominent problems in current mathematics. It is well-known that the Jacobian of a general, smooth curve satisfies the Hodge conjecture. It has been shown by Biswas and Narasimhan that the (smooth) moduli space of rank n semi-stable sheaves with fixed determinant of degree coprime to n, over a general, smooth curve of genus at least 2, also satisfies the Hodge conjecture. In this talk we will discuss recent work, joint with A. Dan, proving the Hodge conjecture for the desingularization of the moduli space of rank 2 stable sheaves with fixed odd degree determinant over a general nodal curve.

11:00: Pausa para o café.

11:30: Ariel Molinuevo (UFRJ)
Título: O ideal de singularidades persistentes para folheações de codimensão q
Resumo: nesta palestra apresentarei o ideal de singularidades persistentes para folheações de codimensão q. Primeiro, lembrarei as definições em \PP^n para folheações de codimensão 1 do ideal singular, esquema de Kupka e o ideal de singularidades persistentes/unfoldings. Depois vou a definir folheações de codimensão q em uma variedade projetiva X e vou a introduzir o esquema de Kupka de uma folheação de codimensão q, que é um unfolding nesta situação e, finalmente, o ideal de singularidades persistentes. Trabalho em colaboração com César Massri e Federico Quallbrunn.

O evento ocorrerá na UFF, na auditório do Instituto de Matemática e Estatística (IME), no dia 25 de novembro, a partir das 14h. A programação incluirá três palestras:

14h - 14h50: Hitoshi Ishii (Tsuda University)
Título: Two asymptotic problems for Hamilton-Jacobi equations and weak KAM theory
Resumo: In the talk, I discuss two asymptotic problems concerning Hamilton-Jacobi equations. One concerns the long-time behavior of solutions of time evolutionary Hamilton-Jacobi equations and the other is the so-called vanishing discount problem for stationary Hamilton-Jacobi equations. The last two decades have seen a fundamental importance of weak KAM theory in the asymptotic analysis of Hamilton-Jacobi equations. I explain briefly the Aubry sets and Mather measures from weak KAM theory and their use in the analysis of the two asymptotic problems above.

14h50 - 15h40: Roberto Guglielmi (EMAP-FGV)
Título: Indirect stabilization of hyperbolic systems
Resumo: We investigate stability properties of systems of hyperbolic equations, with coupling and damping terms acting either on the boundary of the domain or distributed in it. We study systems where only one component is damped, while the other equation is indirectly stabilized through the coupling with the first component. We first show that uniform exponential stability cannot hold for the whole system, thus weaker decay rates should be sought for. Therefore, by means of energy-type methods, we prove polynomial decay of the energy of solutions, linking the decay rate to the regularity of the initial conditions.

16h00 - 16h50: Juliana Fernandes (UFRJ)
Título: Semilinear parabolic equations with asymptotically linear growth
Resumo: We present some recent work on the existence and behaviour of solutions for a class of semilinear parabolic equations, defined on a bounded smooth n-dimensional domain, and we assume that the nonlinearity is asymptotically linear at infinity. We analyze the behavior of the solutions when the initial data varies in the phase space. We obtain global solutions which may be bounded or blowup in infinite time (grow-up). Our main tools are the comparison principle and variational methods. Particular attention is paid to initial data at high energy level. We use the Nehari manifold to separate the phase space into regions of initial data where uniform boundedness or grow-up behavior of the semiflow may occur. This is based on a joint work with L. Maia.