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Geometr铆a Enumerativa: Contando figuras con geometr铆a algebraica | Seminario de Historia de la Matem谩tica Mariano Mart铆nez

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Una mirada desde la Matem谩tica</a></div> <div class="nav-next"><a href="http://blogs.mat.ucm.es/shm/la-simetria-cristalina-como-herramienta-para-introducir-y-divulgar-ideas-matematicas/" rel="next">La聽simetr铆a聽cristalina como herramienta para聽introducir y divulgar ideas聽matem谩ticas <span class="meta-nav">&rarr;</span></a></div> </div><!-- #nav-above --> <div id="post-2622" class="post-2622 post type-post status-publish format-standard hentry category-geometria-enumerativa category-historia-de-la-matematica tag-apolonio tag-david-hilbert tag-enrique-arrondo-esteban tag-schubert tag-steiner"> <h1 class="entry-title">Geometr铆a Enumerativa: Contando figuras con geometr铆a algebraica</h1> <div class="entry-meta"> <span class="meta-prep meta-prep-author">Publicado el</span> <a href="http://blogs.mat.ucm.es/shm/geometria-enumerativa-contando-figuras-con-geometria-algebraica/" title="13:00" rel="bookmark"><span class="entry-date">24 enero, 2024</span></a> <span class="meta-sep">por</span> <span class="author vcard"><a class="url fn n" href="http://blogs.mat.ucm.es/shm/author/shm/" title="Ver todas las entradas de shm">shm</a></span> </div><!-- .entry-meta --> <div class="entry-content"> <p><strong>44.4)</strong>聽24 de enero de 2024</p> <p><strong>Geometr铆a Enumerativa: Contando figuras con geometr铆a algebraica.</strong></p> <p><a href="https://blogs.mat.ucm.es/arrondo/?lang=es#:~:text=Enrique%20Arrondo%20Esteban.%20Departamento%20de%20%C3%81lgebra,%20Geometr%C3%ADa%20y" target="_blank" rel="noopener">Enrique Arrondo聽Esteban.</a></p> <p><img class="" src="http://blogs.mat.ucm.es/shm/wp-content/uploads/sites/17/2024/10/123.jpg" alt="" width="145" height="170" /></p> <p><a href="http://blogs.mat.ucm.es/shm/wp-content/uploads/sites/17/2024/10/shmm2324_24Ene.pdf">Resumen en PDF</a></p> <p>Video completo de la conferencia:</p> <p><iframe width="640" height="360" src="https://www.youtube.com/embed/No07aLZRd1k?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen title="SHM (23-24)-Geometr铆a Enumerativa: Contando figuras con geometr铆a algebraica"></iframe></p> <p>Ya desde los griegos cl谩sicos, los ge贸metras se han interesado en contar cu谩ntas figuras gozaban de ciertas propiedades. En el siglo XIX, y bajo el nombre de <em><strong>Geometr铆a Enumerativa</strong></em>, este tipo de geometr铆a fue desarrollada por los ge贸metras algebraicos y sistematizada por Schubert. Sin embargo, el rigor de estos m茅todos nunca estuvo claro, hasta el punto de que uno de los c茅lebres problemas propuestos por Hilbert en el Congreso Internacional de Matem谩ticos de 1900 consisti贸 en dar rigor a los m茅todos de Schubert.<br /> En la conferencia iremos repasando la evoluci贸n hasta nuestros d铆as de los m茅todos de la Geometr铆a Enumerativa, ilustr谩ndolos con dos ejemplos relevantes: el cl谩sico problema de <strong>Apolonio</strong> de las circunferencias tangentes a tres circunferencias y el problema de <strong>Steiner</strong> de calcular el n煤mero de c贸nicas tangentes a cinco c贸nicas. En ambos casos calcularemos expl铆citamente el n煤mero de soluciones.</p> <div class="swp_social_panel swp_horizontal_panel swp_flat_fresh swp_default_full_color swp_individual_full_color swp_other_full_color scale-100 scale-" data-min-width="1100" data-float-color="#ffffff" data-float="none" data-float-mobile="none" data-transition="slide" ><div class="nc_tweetContainer swp_share_button swp_facebook" data-network="facebook"><a class="nc_tweet swp_share_link" rel="nofollow noreferrer noopener" target="_blank" href="https://www.facebook.com/share.php?u=http%3A%2F%2Fblogs.mat.ucm.es%2Fshm%2Fgeometria-enumerativa-contando-figuras-con-geometria-algebraica%2F" data-link="https://www.facebook.com/share.php?u=http%3A%2F%2Fblogs.mat.ucm.es%2Fshm%2Fgeometria-enumerativa-contando-figuras-con-geometria-algebraica%2F"><span class="swp_count swp_hide"><span class="iconFiller"><span class="spaceManWilly"><i class="sw swp_facebook_icon"></i><span class="swp_share">Compartir</span></span></span></span></a></div></div><div class="swp-content-locator"></div> </div><!-- .entry-content --> <div class="entry-utility"> Esta entrada fue publicada en <a href="http://blogs.mat.ucm.es/shm/category/geometria/geometria-enumerativa/" rel="category tag">Geometr铆a Enumerativa</a>, <a href="http://blogs.mat.ucm.es/shm/category/historia/historia-de-la-matematica/" rel="category tag">Historia de la Matematica</a> y etiquetada <a href="http://blogs.mat.ucm.es/shm/tag/apolonio/" rel="tag">Apolonio</a>, <a href="http://blogs.mat.ucm.es/shm/tag/david-hilbert/" rel="tag">David Hilbert</a>, <a href="http://blogs.mat.ucm.es/shm/tag/enrique-arrondo-esteban/" rel="tag">Enrique Arrondo聽Esteban</a>, <a href="http://blogs.mat.ucm.es/shm/tag/schubert/" rel="tag">Schubert</a>, <a href="http://blogs.mat.ucm.es/shm/tag/steiner/" rel="tag">Steiner</a>. Guarda el <a href="http://blogs.mat.ucm.es/shm/geometria-enumerativa-contando-figuras-con-geometria-algebraica/" title="Enlace Permanente a Geometr铆a Enumerativa: Contando figuras con geometr铆a algebraica" rel="bookmark">enlace permanente</a>. </div><!-- .entry-utility --> </div><!-- #post-2622 --> <div id="nav-below" class="navigation"> <div class="nav-previous"><a href="http://blogs.mat.ucm.es/shm/leonardo-da-vinci-genio-y-mito-del-renacimiento-una-mirada-desde-la-matematica/" rel="prev"><span class="meta-nav">&larr;</span> Leonardo da Vinci: genio [y mito] del Renacimiento. 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