{"id":780,"date":"2022-07-11T11:01:36","date_gmt":"2022-07-11T09:01:36","guid":{"rendered":"https:\/\/congreso.us.es\/convie\/?page_id=780"},"modified":"2022-07-13T12:18:40","modified_gmt":"2022-07-13T10:18:40","slug":"posters","status":"publish","type":"page","link":"https:\/\/congreso.us.es\/convie\/posters\/","title":{"rendered":"Posters"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex\" id=\"top\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\">\n<ul class=\"wp-block-list\"><li><a href=\"#bille\">Artur Bille<\/a><\/li><\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\">\n<ul class=\"wp-block-list\"><li><a href=\"#nakhle\">Elie Nakhle<\/a><\/li><\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\">\n<ul class=\"wp-block-list\"><li><a href=\"#rapaport\">Martin Rapaport<\/a><\/li><\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\">\n<ul class=\"wp-block-list\"><li><a href=\"#vondichter\">Katherina von Dichter<\/a><\/li><\/ul>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-2 wp-block-columns-is-layout-flex\" id=\"bille\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full is-style-default\" id=\"brandenberg\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"800\" src=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Bille.jpg\" alt=\"\" class=\"wp-image-781\" srcset=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Bille.jpg 600w, https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Bille-225x300.jpg 225w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><figcaption><strong><strong>Artur Bille<\/strong><\/strong><br>Ulm University, Germany<\/figcaption><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-medium-font-size\"><strong><em><a href=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/bille.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Spectral clustering of combinatorial fullerene isomers based on their facet graph structure<\/a><\/em><\/strong><\/p>\n\n\n\n<p>After Curl, Kroto and Smalley were awarded 1996 the Nobel Prize in chemistry, fullerenes have been subject of much research. One part of that research is the prediction of a fullerene&#8217;s stability using topological descriptors. It was mainly done by considering the distribution of the twelve pentagonal facets on its surface,  calculations mostly were performed on all isomers of $C_{40}$, $C_{60}$ and $C_{80}$. We suggest a novel method for the  classification of combinatorial fullerene isomers using spectral graph theory. The classification presupposes an invariant scheme for the facets based on the Schlegel diagram. The main idea is to find clusters of isomers by analyzing their graph structure of hexagonal facets only. We also show that our classification scheme can serve as a formal stability criterion, which became evident from a comparison of our results with recent quantum chemical calculations.<\/p>\n\n\n\n<p>We apply our method to classify all isomers of $C_{60}$ and give an example of two different cospectral isomers of $C_{44}$. The only input for our algorithms is the vector of positions of pentagons in the facet spiral.<br><a href=\"#top\" data-type=\"internal\" data-id=\"#top\">[top]<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-3 wp-block-columns-is-layout-flex\" id=\"nakhle\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full is-style-default\" id=\"brandenberg\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"600\" src=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Nakhle.jpg\" alt=\"\" class=\"wp-image-788\" srcset=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Nakhle.jpg 800w, https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Nakhle-300x225.jpg 300w, https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Nakhle-768x576.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><figcaption><strong><strong>Elie Nakhle<\/strong><\/strong><br>Universit\u00e9 Paris-Est Cr\u00e9teil, France<\/figcaption><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-medium-font-size\"><strong><em>The Functional Form of Mahler&#8217;s Conjecture for Even Log-Concave Functions in Dimension 2<\/em><\/strong><\/p>\n\n\n\n<p>Mahler conjectured that the minimum of the volume product among all symmetric convex bodies in $\\mathbb{R}^n$ should be achieved for the cube. We present a functional version of the conjecture which involves even log-concave functions and their Legendre transform. Finally, we give the sharp lower bound of the functional volume product and characterize the equality case of this conjecture for functions defined on $\\mathbb{R}^2$.<br><a href=\"#top\" data-type=\"internal\" data-id=\"#top\">[top]<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-4 wp-block-columns-is-layout-flex\" id=\"rapaport\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large is-style-default\" id=\"brandenberg\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Rapaport-1024x768.jpg\" alt=\"\" class=\"wp-image-789\" srcset=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Rapaport-1024x768.jpg 1024w, https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Rapaport-300x225.jpg 300w, https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Rapaport-768x576.jpg 768w, https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/Rapaport.jpg 1280w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption><strong><strong>Martin Rapaport<\/strong><\/strong><br>Universite Gustave Eiffel, France<\/figcaption><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-medium-font-size\"><strong><em>Criteria for positive entropic curvature on discrete spaces<\/em><\/strong><\/p>\n\n\n\n<p>According to the works of Lott-Sturm-Villani, the curvature $\\kappa$ of a manifold can be expressed in terms of the $\\kappa$-convexity of the relative entropy along Wasserstein geodesics. Such an analogous property on graphs has been first proposed by M. Erbar and J. Maas.<\/p>\n\n\n\n<p>Recently, Paul-Marie Samson has proposed another definition of curvature for graphs based on convexity of rel- ative entropy along the Schr\u00f6dinger bridges which will be the core of this poster. After explaining all these terms, we will address the following question: How can this curvature be calculated locally on graphs and what kind of consequences globally does it has?<br><a href=\"#top\" data-type=\"internal\" data-id=\"#top\">[top]<\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-5 wp-block-columns-is-layout-flex\" id=\"vondichter\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full is-style-default\" id=\"brandenberg\"><img loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"800\" src=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/vondichter.jpg\" alt=\"\" class=\"wp-image-790\" srcset=\"https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/vondichter.jpg 600w, https:\/\/congreso.us.es\/convie\/wp-content\/uploads\/2022\/07\/vondichter-225x300.jpg 225w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><figcaption><strong><strong>Katherina von Dichter<\/strong><\/strong><br>Technische Universit\u00e4t M\u00fcnchen, Germany<\/figcaption><\/figure>\n<\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-medium-font-size\"><strong><em>Mean inequalities for symmetrizations of convex sets<\/em><\/strong><\/p>\n\n\n\n<p>The arithmetic-harmonic mean inequality can be generalized for convex sets, considering the intersection, the harmonic and the arithmetic mean, as well as the convex hull of two convex sets. We study those relations of symmetrization of convex sets, i.e., dealing with the means of some convex set $C$ and $-C$. We determine the dilatation factors, depending on the asymmetry of $C$, to reverse the containments between any of those symmetrizations, and tighten the relations proven by Firey and show a stability result concerning those factors near the simplex.<br><a href=\"#top\" data-type=\"internal\" data-id=\"#top\">[top]<\/a><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Artur Bille Elie Nakhle Martin Rapaport Katherina von Dichter Spectral clustering of combinatorial fullerene isomers based on their facet graph structure After Curl, Kroto and Smalley were awarded 1996 the Nobel Prize in chemistry, fullerenes have been subject of much <a href=\"https:\/\/congreso.us.es\/convie\/posters\/\"> Read more&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-780","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/pages\/780"}],"collection":[{"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/comments?post=780"}],"version-history":[{"count":6,"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/pages\/780\/revisions"}],"predecessor-version":[{"id":799,"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/pages\/780\/revisions\/799"}],"wp:attachment":[{"href":"https:\/\/congreso.us.es\/convie\/wp-json\/wp\/v2\/media?parent=780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}