{"id":10711,"date":"2023-10-24T12:29:24","date_gmt":"2023-10-24T10:29:24","guid":{"rendered":"https:\/\/wpd.ugr.es\/~imag\/?page_id=10711"},"modified":"2025-04-14T12:29:01","modified_gmt":"2025-04-14T10:29:01","slug":"analysis-and-geometry-students-seminar","status":"publish","type":"page","link":"https:\/\/wpd.ugr.es\/~imag\/analysis-and-geometry-students-seminar\/","title":{"rendered":"Geometric Analysis Student Seminar"},"content":{"rendered":"<p>Organizer: <a href=\"https:\/\/geometry.ugr.es\/informacion\/directorio-personal\/jose-maria-espinar-garcia\" target=\"_blank\" rel=\"noopener\">Jos\u00e9 Mar\u00eda Espinar Garc\u00eda<\/a><\/p>\n<p>Sala Zoom: <a href=\"https:\/\/ugr.zoom.us\/j\/6054937715?pwd=VSswYUZQN25aYkx0cURmYklRQkxudz09\" target=\"_blank\" rel=\"noopener\">Seminario 1<\/a><\/p>\n<h4>Next Seminars<\/h4>\n<hr \/>\n<h4>2025<\/h4>\n<hr \/>\n<p><strong>21\/04\/2025 &#8211; 9:30 &#8211; 11:00, Seminario 1<\/strong><br \/>\n<strong>Yevgeny Liokumovich<\/strong> (University of Toronto)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8221; Applications of minimal surfaces to geometry and topology of 3-manifolds, I&#8221;<\/em><br \/>\n<strong>Abstract:<\/strong> <em>Minimal surfaces are a key tool in the study of geometry and topology of 3-manifolds. In the first talk I will give an overview of several problems that can be resolved using the existence and regularity theory of minimal surfaces:<\/p>\n<p>1) two problems in 3-manifold topology: Smale conjecture on diffeomorphism groups of lens spaces and Waldhausen conjecture on the finiteness of Heegaard splittings;<\/p>\n<p>2) two conjectures of Gromov on the geometry of 3-manifolds of positive scalar curvature: Urysohn width conjecture and the existence of a short closed geodesic.<\/p>\n<p>In the second talk, I will describe some of the proofs in more detail.<\/em>\n<\/p>\n<p><strong>22\/04\/2024 &#8211; 9:30 &#8211; 11:00, Seminario 1<\/strong><br \/>\n<strong> Yevgeny Liokumovich<\/strong> (University of Toronto)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8221; Applications of minimal surfaces to geometry and topology of 3-manifolds, II&#8221;<\/em><br \/>\n<strong>Abstract:<\/strong> <em>Minimal surfaces are a key tool in the study of geometry and topology of 3-manifolds. In the first talk I will give an overview of several problems that can be resolved using the existence and regularity theory of minimal surfaces:<\/p>\n<p>1) two problems in 3-manifold topology: Smale conjecture on diffeomorphism groups of lens spaces and Waldhausen conjecture on the finiteness of Heegaard splittings;<\/p>\n<p>2) two conjectures of Gromov on the geometry of 3-manifolds of positive scalar curvature: Urysohn width conjecture and the existence of a short closed geodesic.<\/p>\n<p>In the second talk, I will describe some of the proofs in more detail.<\/em>\n<\/p>\n<hr \/>\n<h4>2024<\/h4>\n<hr \/>\n<p><strong>7\/11\/2024 &#8211; 12:30 &#8211; 14:00, Seminario 1<\/strong><br \/>\n<strong>Marco Guaraco<\/strong> (Imperial College) &#038; <strong> Stephen Lynch<\/strong> (King&#8217;s College)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;The Plateau Problem via the Allen-Cahn Equation, III&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=tCcuxTVBMzE\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>7\/11\/2024 &#8211; 12:30 &#8211; 14:00, Seminario 1<\/strong><br \/>\n<strong> David Kalaj<\/strong> (Universidad de Montenegro)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;The Schwarz Lemma and its Connection to Minimal Surfaces, II&#8221;<\/em><\/p>\n<p><strong>6\/11\/2024 &#8211; 12:30 &#8211; 14:00, Seminario 1<\/strong><br \/>\n<strong>Marco Guaraco<\/strong> (Imperial College) &#038; <strong> Stephen Lynch<\/strong> (King&#8217;s College)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;The Plateau Problem via the Allen-Cahn Equation, II&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=eOHlMQYWTFI\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>5\/11\/2024 &#8211; 12:30 &#8211; 14:00, Seminario 1<\/strong><br \/>\n<strong> Marco Guaraco<\/strong> (Imperial College) &#038; <strong> Stephen Lynch<\/strong> (King&#8217;s College)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;The Plateau Problem via the Allen-Cahn Equation, I&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=l8B2AoRx4js\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>4\/11\/2024 &#8211; 12:30 &#8211; 14:00, Seminario 1<\/strong><br \/>\n<strong> David Kalaj<\/strong> (Universidad de Montenegro)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;The Schwarz Lemma and its Connection to Minimal Surfaces, I&#8221;<\/em><\/p>\n<p><strong>29\/10\/2024 &#8211; David Wiygul<\/strong> (Trento University)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Morse index of the $\\xi_{g,1}$ Lawson surfaces in the 3-sphere&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=mReNTt8abqM\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>23\/10\/2024 &#8211; David Wiygul<\/strong> (Trento University)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Characterization of Lawson&#8217;s embedded minimal surfaces in the 3-sphere by their symmetries and genus, II&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=UncKOx6uJSo\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>22\/10\/2024 &#8211; David Wiygul<\/strong> (Trento University)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Characterization of Lawson&#8217;s embedded minimal surfaces in the 3-sphere by their symmetries and genus, I&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=z2TSrV35KHU\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>02\/10\/2024 &#8211; Marcos P. Cavalcante<\/strong> (Universidade Federal de Alagoas)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Serrin Problem in cohomogeneity one manifolds, II&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=v5R4RqNlo-I\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>01\/10\/2024 &#8211; Marcos P. Cavalcante<\/strong> (Universidade Federal de Alagoas)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Serrin Problem in cohomogeneity one manifolds, I&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=dgPTg3EuraU\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>25\/09\/2024 &#8211; Gerardo M. Escolano<\/strong> (Universidad de Granada)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Elementary Operators in JB*-algebras&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=0zXb1Q8gU8M\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>18\/09\/2024 &#8211; Alberto Cerezo<\/strong> (Universidad de Granada &#038; Universidad de Sevilla)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Min-max theory &#038; Minimal surfaces, IV&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=K2iQB1RV-SY\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>17\/09\/2024 &#8211; Alberto Cerezo<\/strong> (Universidad de Granada &#038; Universidad de Sevilla)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Min-max theory &#038; Minimal surfaces, III&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=INwKm1ZVYRc\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>11\/09\/2024 &#8211; Alberto Cerezo<\/strong> (Universidad de Granada &#038; Universidad de Sevilla)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Min-max theory &#038; Minimal surfaces, II&#8221;<\/em><br \/>\n<a href=\"https:\/\/www.youtube.com\/watch?v=h0buj1i-BpI\" target=\"_blank\" rel=\"noopener\">Video<\/a><\/p>\n<p><strong>10\/09\/2024 &#8211; Alberto Cerezo<\/strong> (Universidad de Granada &#038; Universidad de Sevilla)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Min-max theory &#038; Minimal surfaces, I&#8221;<\/em><\/p>\n<hr \/>\n<h4>2023<\/h4>\n<hr \/>\n<p><strong>07\/02\/2024 &#8211; Tja\u0161a Vrhovnik<\/strong> (Universidad de Granada)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Null curves and directed immersions of open Riemann surfaces&#8221;<\/em><\/p>\n<p><strong>31\/01\/2024 &#8211; Tja\u0161a Vrhovnik<\/strong> (Universidad de Granada)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;Null curves and directed immersions of open Riemann surfaces&#8221;<\/em><\/p>\n<p><strong>25\/10\/2023 &#8211; Sa\u00fal Burgos<\/strong> (Universidad de Granada)<br \/>\n<strong>T\u00edtulo: <\/strong><a href=\"https:\/\/wpd.ugr.es\/~imag\/events\/event\/lorentzian-length-spaces\/\"> <em> &#8220;Lorentzian length spaces&#8221;<\/em><\/a><\/p>\n<p><strong>18\/10\/2023 &#8211; Jing Wu<\/strong><br \/>\n<strong>T\u00edtulo: <\/strong> <a href=\"https:\/\/wpd.ugr.es\/~imag\/events\/event\/modica-estimates\/\"><em>&#8220;Modica estimates&#8221;<\/em><\/a><\/p>\n<p><strong>11\/10\/2023 &#8211; Diego Mar\u00edn<\/strong> (Universidad de Granada)<br \/>\n<strong>T\u00edtulo: <\/strong><a href=\"https:\/\/wpd.ugr.es\/~imag\/events\/event\/el-problema-de-serrin-en-dominios-anulares-parte-iii\/\"><em>&#8220;El problema de Serr\u00edn en dominios anulares (Parte III)&#8221;<\/em><\/a><\/p>\n<p><strong>04\/10\/2023 &#8211; Diego Mar\u00edn<\/strong> (Universidad de Granada)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;El problema de Serr\u00edn en dominios anulares (Parte II)&#8221;<\/em><\/p>\n<p><strong>27\/09\/2023 &#8211; Diego Mar\u00edn<\/strong> (Universidad de Granada)<br \/>\n<strong>T\u00edtulo:<\/strong> <em>&#8220;El problema de Serr\u00edn en dominios anulares (Parte I)&#8221;<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Organizer: Jos\u00e9 Mar\u00eda Espinar Garc\u00eda Sala Zoom: Seminario 1 Next Seminars 2025 21\/04\/2025 &#8211; 9:30 &#8211; 11:00, Seminario 1 Yevgeny Liokumovich (University of Toronto) T\u00edtulo: &#8221; Applications of minimal surfaces to geometry and topology of 3-manifolds, I&#8221; Abstract: Minimal surfaces are a key tool in the study of geometry and<span class=\"more-link\"><a href=\"https:\/\/wpd.ugr.es\/~imag\/analysis-and-geometry-students-seminar\/\">Continue Reading<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"translation":{"provider":"WPGlobus","version":"3.0.0","language":"en","enabled_languages":["en"],"languages":{"en":{"title":true,"content":true,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/pages\/10711"}],"collection":[{"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/comments?post=10711"}],"version-history":[{"count":43,"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/pages\/10711\/revisions"}],"predecessor-version":[{"id":13589,"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/pages\/10711\/revisions\/13589"}],"wp:attachment":[{"href":"https:\/\/wpd.ugr.es\/~imag\/wp-json\/wp\/v2\/media?parent=10711"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}