Geometric construction of characteristic classes
Palestrante: José Luis Cisneros-Molina (Instituto de Matemáticas de Cuernavaca - UNAM)
Quando: Quarta-feira, 3 de agosto, às 14h
Onde: Auditório Prof. Luiz Antonio Fávaro
Resumo: Abstract: In this talk we present a geometric construction of characteristic classes of vector bundles (Stiefel-Whitney and Chern classes) using generic bundle morphisms. Joint work with Marcelo Aguilar and Eduardo Frías.
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Conferência
Rank gradient in co-final towers of certain Kleinian groups
Palestrante: Darlan Girao (University of Texas)
Quando: Sexta-feira, 5 de agosto, às 14h
Onde: sala 4-001
Resumo: Recently Abert and Nikolov related two important problems: 1. The rank vs. Heegaard genus conjecture for hyperbolic 3-manifolds, which is a long standing question in low dimensional topology; 2. The Fixed Price problem in topological dynamics. Counter examples for this conjecture have just been announced by Tao Li. I will survey along these notions and explain what should be expected from the relationship set by Abert-Nikolov in light of Li's work. I will finally show some of my results and explain
how they fit into this picture.
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Resumo: Abstract: In this talk we present a geometric construction of characteristic classes of vector bundles (Stiefel-Whitney and Chern classes) using generic bundle morphisms. Joint work with Marcelo Aguilar and Eduardo Frías.
----------
Conferência
Rank gradient in co-final towers of certain Kleinian groups
Palestrante: Darlan Girao (University of Texas)
Quando: Sexta-feira, 5 de agosto, às 14h
Onde: sala 4-001
Resumo: Recently Abert and Nikolov related two important problems: 1. The rank vs. Heegaard genus conjecture for hyperbolic 3-manifolds, which is a long standing question in low dimensional topology; 2. The Fixed Price problem in topological dynamics. Counter examples for this conjecture have just been announced by Tao Li. I will survey along these notions and explain what should be expected from the relationship set by Abert-Nikolov in light of Li's work. I will finally show some of my results and explain
how they fit into this picture.
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Seminário de Geometria e Física Matemática
Simultaneous deformations of Maurer-Cartan elements
Palestrante: Marco Zambon (Instituto de Ciências Matemáticas, Madrid, Espanha)
Quando: Sexta-feira, 5 de agosto, às 15h
Onde: Auditório Prof. Luiz Antonio Fávaro
Resumo: Given an $L_{\infty}$-algebra, we prove a theorem about the simultaneous deformation of the $L_{\infty}$-algebra structure and of its Maurer-Cartan elements. The main tool is Ted Voronov's derived bracket construction. The above theorem allows to make statements about the deformation theory of a wide class of algebraic and geometric objects. We will discuss, among others, the example of deformations of twisted Poisson structures. This is joint work with Yael Fregier (Univ. Lens).
Simultaneous deformations of Maurer-Cartan elements
Palestrante: Marco Zambon (Instituto de Ciências Matemáticas, Madrid, Espanha)
Quando: Sexta-feira, 5 de agosto, às 15h
Onde: Auditório Prof. Luiz Antonio Fávaro
Resumo: Given an $L_{\infty}$-algebra, we prove a theorem about the simultaneous deformation of the $L_{\infty}$-algebra structure and of its Maurer-Cartan elements. The main tool is Ted Voronov's derived bracket construction. The above theorem allows to make statements about the deformation theory of a wide class of algebraic and geometric objects. We will discuss, among others, the example of deformations of twisted Poisson structures. This is joint work with Yael Fregier (Univ. Lens).
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Informações
Seção de Eventos do ICMC
Tel (16) 3373-9146
