{"id":315,"date":"2020-05-13T07:07:39","date_gmt":"2020-05-13T10:07:39","guid":{"rendered":"http:\/\/www.professores.uff.br\/mldelhoyo\/?page_id=315"},"modified":"2020-08-20T14:31:55","modified_gmt":"2020-08-20T17:31:55","slug":"talks","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/mldelhoyo\/talks\/","title":{"rendered":"Talks"},"content":{"rendered":"\n
\n2020\n
\n
Ago 25 — \nVI Simp\u00f3sio de Matem\u00e1tica da Regi\u00e3o Sul Fluminense<\/a> (online talk)<\/dt> \n
\nTitle: A carater\u00edstica de Euler
\nAbstract: A topologia trata sobre o estudo dos espa\u00e7os e as fun\u00e7\u00f5es cont\u00ednuas. Na topologia alg\u00e9brica se utilizam invariantes alg\u00e9bricos para entender e classificar eles. Nesta palestra vamos discutir um dos invariantes fundamentais, a caracter\u00edstica de Euler. Revisaremos sua hist\u00f3ria de mais de 250 anos, mostraremos algumas aplica\u00e7\u00f5es cl\u00e1ssicas, e relacionaremos com a teoria de homologia, com inten\u00e7\u00e3o de mostrar o rol central que estas ideias ocupam na matem\u00e1tica moderna.<\/span><\/dd>\n
May 19 — \nSemin\u00e1rio Simpl\u00e9tico do Rio<\/a> (online talk)<\/dt> \n
\nTitle: On Hausdorff symplectic realizations
\nAbstract: A symplectic realization is a way to present a given Poisson manifold as a quotient of a symplectic one. Such a desingularization, which always exists, may not reflect the original dynamics, it may fail to be complete. The existence of complete symplectic realizations is equivalent to the integrability of the associated Lie algebroids. This problem is ruled by topological obstructions and forces us to deal with non-Hausdorff manifolds. In this talk I will review symplectic realizations, the interplay between Poisson manifolds and Lie algebroids, and a recent collaboration with D. Lopez where we pay special attention to Hausdorff integrations.<\/span><\/dd>\n
May 15 — \nSeminario de Geometria Algebraica<\/a>, UBA (online talk)<\/dt> \n
\nTitle: Higher vector bundles
\nAbstract: Lie groupoids provide a unified framework for classic geometries, and they can be used to model stacks in differential geometry, giving finite dimensional solutions to moduli problems. The use of simplicial manifolds allow us to study Lie groupoids via their nerve, and to develop a theory for higher groupoids and stacks, by exporting the methods of homological algebra. In this talk I will discuss some of my recent works in the study of vector bundles over Lie groupoids, their classification, their relation with representation theory, and their interpretation at the level of stacks.<\/span><\/dd>\n
Feb 17 — \nEncontro Capixaba de Geometria<\/a>, UFV (Vit\u00f3ria, Brazil)<\/dt> \n
\nTitle: Discrete dynamics and differentiable stacks
\nAbstract: In a joint work with A. Cabrera (UFRJ) and E. Pujals (IMPA) we study actions of discrete groups over connected manifolds by means of their orbit stacks. Stacks are categorified spaces, they generalize manifolds and orbifolds, and they remember the isotropies of the actions that give rise to them. I will review the basics, show that for simply connected spaces the stacks recover the dynamics up to conjugacy, and discuss the general case. I will also describe several examples, involving irrational rotations of the circle, hyperbolic toral automorphisms, and the construction of lens spaces.<\/span><\/dd>\n<\/div>\n\n\n\n


<\/p>\n","protected":false},"excerpt":{"rendered":"

2020 Ago 25 — VI Simp\u00f3sio de Matem\u00e1tica da Regi\u00e3o Sul Fluminense (online talk) Title: A carater\u00edstica de Euler Abstract: A topologia trata sobre o estudo dos espa\u00e7os e as fun\u00e7\u00f5es cont\u00ednuas. Na topologia alg\u00e9brica se utilizam invariantes alg\u00e9bricos para entender e classificar eles. Nesta palestra vamos discutir um dos invariantes fundamentais, a caracter\u00edstica de […]<\/p>\n","protected":false},"author":68,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-315","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/pages\/315","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/users\/68"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/comments?post=315"}],"version-history":[{"count":12,"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/pages\/315\/revisions"}],"predecessor-version":[{"id":336,"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/pages\/315\/revisions\/336"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/media?parent=315"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/categories?post=315"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/mldelhoyo\/wp-json\/wp\/v2\/tags?post=315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}