Convidamos a todos para a proxima palestra do Seminário de Geometria & Topologia 2016-1

Data: 13/04/2016
Hora: 15:30h
Local: C119

Palestrante: Andrew Clarke (UFRJ)

Título: Formas positivas e geodésicas em geometria G2

Resumo: Essa palestra vai ser uma introdução à geometria G2. Vou explicar como o grupo G2 aparece em geometria riemanniana e vou falar de várias propriedades de variedades com G2-estruturas ou G2 holonomia. Se tiver tempo, vou mencionar alguns resultados iniciais sobre o espaço de potenciais de G2-estruturas em uma classe de cohomologia.

Convidamos a todos para a primeira palestra do Seminário de Geometria & Topologia do semestre 2016-1, quarta-feira proxima semana, dia 06/04:

Given a Lie group, the classical Van Est theorem relates global cohomological data on the Lie group (e.g. cohomology with values in some representation) with infinitesimal information depending only on its Lie algebra. Later, this theorem was generalized by Weinstein-Xu (for low degrees) and Crainic (for arbitrary degrees) to Lie groupoids providing a framework to study characteristic classes for Lie groupoids, obstructions to integrability among other things. In this talk, we shall study a special class of Lie groupoids and show how the Van Est theorem can be used to obtain a result relating representations up to homotopy of Lie groupoids and Lie algebroids.

Palestrante: Thiago Linhares Drummond (UFRJ)
Data: 06/04/2016
Hora: 15:30h
Local: C119

In this talk we discuss the well-posedness issues of the associated initial value problem, the existence of nontrivial solutions with prescribed L^2 -norm, and the stability of associated solitary waves for two classes of coupled nonlinear dispersive equations. The first model describes the nonlinear interaction between two Schrödinger type short waves and a generalized Korteweg-de Vries type long wave and the second one describes the nonlinear interaction of two generalized Korteweg-de Vries type long waves with a common Schrödinger type short wave. The results here extend many of the previously obtained results for two-component coupled Schrödinger-Korteweg-de Vries systems.

This is a joint work with Adan Corcho and Santosh Bhattarai

Palestrante: Mahendra Panthee (Unicamp)
Data: 16/03/2016 (quarta feira)
Hora: 13:30 h
Local: C-116

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