{"id":1129,"date":"2020-11-25T09:13:59","date_gmt":"2020-11-25T12:13:59","guid":{"rendered":"https:\/\/www.ufrgs.br\/ppgmat\/?p=1129"},"modified":"2022-05-24T14:05:55","modified_gmt":"2022-05-24T17:05:55","slug":"webinarios-de-matematica-do-ppgmat-apresenta-a-palestra-quantitative-stability-for-minimizing-yamabe-metrics","status":"publish","type":"post","link":"https:\/\/www.ufrgs.br\/ppgmat\/en\/webinarios-de-matematica-do-ppgmat-apresenta-a-palestra-quantitative-stability-for-minimizing-yamabe-metrics\/","title":{"rendered":"Webin\u00e1rios de Matem\u00e1tica do PPGMat apresenta a palestra &#8220;Quantitative stability for minimizing Yamabe metrics&#8221;"},"content":{"rendered":"\n<p>Nesta quarta-feira, dia&nbsp;<strong>25\/11\/2020 \u00e0s 14:00<\/strong>, teremos a 14\u00aa edi\u00e7\u00e3o&nbsp;dos&nbsp;Webin\u00e1rios de Matem\u00e1tica do PPGMat &#8211; UFRGS. \u00c9 com prazer que convidamos a todos. Sintam-se \u00e0 vontade para compartilhar esta mensagem.<br>Nossos primeiros webin\u00e1rios j\u00e1 se encontram no YouTube, no&nbsp;<a href=\"https:\/\/www.youtube.com\/channel\/UC7hU77kWUskQWAHK1MwlcGg\" target=\"_blank\" rel=\"noreferrer noopener\">canal do PPGMat<\/a>. Confiram l\u00e1! \ud83d\ude42<br>Informa\u00e7\u00f5es do webin\u00e1rio desta semana:<\/p>\n\n\n\n<p><strong>Quantitative stability for minimizing Yamabe metrics<\/strong><\/p>\n\n\n\n<p>por&nbsp;<strong>Robin Neumayer (Northwestern University)<\/strong><\/p>\n\n\n\n<p><strong>Data e hora:&nbsp;<\/strong>Quarta-feira, 25 de Novembro de 2020 \u00e0s 14:00<\/p>\n\n\n\n<p><strong>Acesso:&nbsp;<\/strong>Plataforma Google Meet em&nbsp;<a href=\"https:\/\/meet.google.com\/mis-hsdx-aqh\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/meet.google.com\/mis-hsdx-aqh<\/a><\/p>\n\n\n\n<p><strong>Resumo:<\/strong>&nbsp;The Yamabe problem asks whether, given a closed Riemannian manifold, one can find a conformal metric of constant scalar curvature (CSC). An affirmative answer was given by Schoen in 1984, following contributions from Yamabe, Trudinger, and Aubin, by establishing the existence of a function that minimizes the so-called Yamabe energy functional; the minimizing function corresponds to the conformal factor of the CSC metric.&nbsp;<br>We address the quantitative stability of minimizing Yamabe metrics. On any closed Riemannian manifold we show\u2014in a quantitative sense\u2014that if a function nearly minimizes the Yamabe energy, then the corresponding conformal metric is close to a CSC metric. Generically, this closeness is controlled quadratically by the Yamabe energy deficit. However, we construct an example demonstrating that this quadratic estimate is false in the general. This is joint work with Max Engelstein and Luca Spolaor and will be accessible to a general graduate student audience.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nesta quarta-feira, dia&nbsp;25\/11\/2020 \u00e0s 14:00, teremos a 14\u00aa edi\u00e7\u00e3o&nbsp;dos&nbsp;Webin\u00e1rios de Matem\u00e1tica do PPGMat &#8211; UFRGS. \u00c9 com prazer que convidamos a todos. Sintam-se \u00e0 vontade para compartilhar esta mensagem.Nossos primeiros webin\u00e1rios j\u00e1 se encontram no YouTube, no&nbsp;canal do PPGMat. Confiram l\u00e1! \ud83d\ude42Informa\u00e7\u00f5es do webin\u00e1rio desta semana: Quantitative stability for minimizing Yamabe metrics por&nbsp;Robin Neumayer (Northwestern <a href=\"https:\/\/www.ufrgs.br\/ppgmat\/en\/webinarios-de-matematica-do-ppgmat-apresenta-a-palestra-quantitative-stability-for-minimizing-yamabe-metrics\/\" rel=\"nofollow\"><span class=\"sr-only\">Read more about Webin\u00e1rios de Matem\u00e1tica do PPGMat apresenta a palestra &#8220;Quantitative stability for minimizing Yamabe metrics&#8221;<\/span>[&hellip;]<\/a><\/p>\n","protected":false},"author":1,"featured_media":1072,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/posts\/1129"}],"collection":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/comments?post=1129"}],"version-history":[{"count":1,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/posts\/1129\/revisions"}],"predecessor-version":[{"id":1130,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/posts\/1129\/revisions\/1130"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/media\/1072"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/media?parent=1129"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/categories?post=1129"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/tags?post=1129"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}