{"id":32,"date":"2017-06-12T19:21:48","date_gmt":"2017-06-12T17:21:48","guid":{"rendered":"http:\/\/www.idpoisson.fr\/?page_id=32"},"modified":"2024-03-18T23:33:01","modified_gmt":"2024-03-18T22:33:01","slug":"equipe-danalyse-et-geometrie","status":"publish","type":"page","link":"https:\/\/www.idpoisson.fr\/en\/equipe-danalyse-et-geometrie\/","title":{"rendered":"Equipe d&#8217;Analyse et G\u00e9om\u00e9trie"},"content":{"rendered":"\n<p><img loading=\"lazy\" decoding=\"async\" width=\"100\" height=\"100\" class=\"alignnone size-medium wp-image-367\" src=\"https:\/\/www.idpoisson.fr\/wp-content\/uploads\/2017\/12\/ang-300x300.png\" alt=\"\" srcset=\"https:\/\/www.idpoisson.fr\/wp-content\/uploads\/2017\/12\/ang-300x300.png 300w, https:\/\/www.idpoisson.fr\/wp-content\/uploads\/2017\/12\/ang-150x150.png 150w, https:\/\/www.idpoisson.fr\/wp-content\/uploads\/2017\/12\/ang-768x768.png 768w, https:\/\/www.idpoisson.fr\/wp-content\/uploads\/2017\/12\/ang.png 840w\" sizes=\"auto, (max-width: 100px) 100vw, 100px\" \/><\/p>\n\n\n\n<p><strong>Team animators :<\/strong> <a href=\"http:\/\/deserti.perso.math.cnrs.fr\/\">Julie D\u00e9serti <\/a>(Orl\u00e9ans) &#038; <a href=\"http:\/\/www.lmpt.univ-tours.fr\/~gicquaud\/\">Romain Gicquaud<\/a> (Tours)<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>The topics addressed within the team span a wide spectrum from Geometry to PDEs: Operators algebras and Functional analysis, Complex Analysis and Dynamical Systems, Harmonic Analysis, PDEs, Spectral Theory and Geometry.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"> Operator Algebras and Functional Analysis<\/h5>\n\n\n\n<p>It encompasses works on K-theory and the Baum-Connes conjecture, as well as connections between C*-algebras and dynamical systems, representation theory of groups, group actions, or dynamics of complex foliations.<\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary><p style=\"color:#5dade2\">Keywords<\/p><\/summary>\n<ul class=\"wp-block-list\">\n<li>C*-algebras and dynamical systems<\/li>\n\n\n\n<li>C*-algebras and group representations<\/li>\n\n\n\n<li>K-Theory, Baum-Connes conjecture, and group representations<\/li>\n\n\n\n<li>Group actions, group theory, geometry, and topology<\/li>\n\n\n\n<li>JBW*-triplets as Banach spaces<\/li>\n<\/ul>\n<\/details>\n\n\n\n<h5 class=\"wp-block-heading\">Complex analysis and Dynamical Systems<\/h5>\n\n\n\n<p>The team members are interested in discrete dynamical systems with one or more complex variables generated by a family of transformations, growth processes, and their potential applications.<\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary><p style=\"color:#5dade2\">Keywords<\/p><\/summary>\n<p>Holomorphic dynamics, bifurcations<br>Birational transformations dynamics<br>Random dynamical systems<br>Growth processes and applications<\/p>\n<\/details>\n\n\n\n<h5 class=\"wp-block-heading\">Harmonic Analysis<\/h5>\n\n\n\n<p>The questions surrounding harmonic analysis involve work on spaces with non-positive curvature, Hardy spaces, and the exploitation of the dispersive properties of certain partial differential equations for their study.<\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary><p style=\"color:#5dade2\">Keywords<\/p><\/summary>\n<p>Harmonic analysis, Hardy spaces, spaces with non-positive curvature<br>Harmonic analysis and PDEs<br>Potential and pluripotential theory<br>Applied harmonic analysis: Modeling of diffusion in porous media with temperature gradient<\/p>\n<\/details>\n\n\n\n<h5 class=\"wp-block-heading\">Partial Derivative Equations<\/h5>\n\n\n\n<p>Different types of considerations surrounding various types of partial differential equations are addressed: degenerate elliptic equations, fractional diffusion equations in time, the Keller-Segel model, inverse problems, observability problems, and quantum limit problems.<\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary><p style=\"color:#5dade2\">Keywords<\/p><\/summary>\n<p>Keller-Segel model<br>Inverse problems for PDEs<br>Fractional diffusion equations in time<br>Degenerate elliptic equations<br>Observability and quantum limits<\/p>\n<\/details>\n\n\n\n<h5 class=\"wp-block-heading\">Spectral Theory and Geometry<\/h5>\n\n\n\n<p>Geometry is to be understood here in a very broad sense, as it may involve birational geometry, spectral geometry with singularities or sub-Riemannian geometry, minimal surfaces, analysis on manifolds, as well as knot theory, the study of geometric equations on hyperbolic space, or problems related to general relativity.<\/p>\n\n\n\n<p>The spectral theory problems studied within the institute include metastability problems, quantum Hamiltonians.<\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary><p style=\"color:#5dade2\">Keywords<\/p><\/summary>\n<p>Birational geometry, Teichm\u00fcller space, <br>Complex and Differential Geometry<br>Functional inequalities <br>Metastability <br>Spectral geometry with singularities, Sub-Riemannian spectral geometry<br>Minimal surfaces and constant mean curvature surfaces <br>Knot theory <br>Initial data in general relativity <br>Geometric equations on hyperbolic space<\/p>\n<\/details>\n\n\n\n<h5 class=\"wp-block-heading\">Seminars<\/h5>\n\n\n\n<p>The team members structure their work around seminars or working groups that they organize:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <a href=\"https:\/\/www.idpoisson.fr\/agenda\/?type=S%C3%A9minaire%20de%20g%C3%A9om%C3%A9trie\">Geometry Seminar<\/a> meets every week on Tuesdays in Tours,<\/li>\n\n\n\n<li>The <a href=\"https:\/\/www.idpoisson.fr\/agenda\/?type=C*-Acad%C3%A9mie\">C* working group<\/a> meets regularly on Fridays in Orl\u00e9ans,<\/li>\n\n\n\n<li>The <a href=\"https:\/\/www.idpoisson.fr\/agenda\/?type=GT%20ADG-Syst%C3%A8mes%20dynamiques\">Analysis, Dynamics, and Geometry working group<\/a> meets approximately once a month on Tuesday afternoons in Orl\u00e9ans,<\/li>\n\n\n\n<li>The <a href=\"https:\/\/www.imo.universite-paris-saclay.fr\/~nguyen-bac.dang\/seminaire_ihp\/index.html\">Monthly Complex Dynamics Seminar<\/a>&nbsp; takes place once a month on Fridays at the IHP in Paris.<\/li>\n<\/ul>\n\n\n\n\n\n<h2 class=\"wp-block-heading\"><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Team animators : Julie D\u00e9serti (Orl\u00e9ans) &#038; Romain Gicquaud (Tours) The topics addressed within the team span a wide spectrum &hellip; <a href=\"https:\/\/www.idpoisson.fr\/en\/equipe-danalyse-et-geometrie\/\" class=\"more-link\">More <span class=\"screen-reader-text\">Equipe d&#8217;Analyse et G\u00e9om\u00e9trie<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-32","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/pages\/32","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/comments?post=32"}],"version-history":[{"count":81,"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/pages\/32\/revisions"}],"predecessor-version":[{"id":6292,"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/pages\/32\/revisions\/6292"}],"wp:attachment":[{"href":"https:\/\/www.idpoisson.fr\/en\/wp-json\/wp\/v2\/media?parent=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}