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The plenary talks will be in English. Each of the plenaries is named after <a href="bilbao_en.html">the seven streets of the <em>Casco Viejo</em> of Bilbao</a>. </p> <hr id="infocomp2"/> <h2 id="plenaria1" class="plenariaheader"><em>Goienkale</em> Plenary Talk</h2><h4 class="plenariaheaderb">Monday 13, 11:30<br/>[<a href="sede_en.html#BA"><em>Mitxelena Auditorium</em> in the Bizkaia Aretoa</a>]</h4><hr/><div class="row" style="display:flex;align-items: center;"><div class="col-lg-4" style="text-align:center;"><img class="plenarypic" src="imgs_plenaries/cardona.png" alt="Robert Cardona"/><p style="text-align:center;font-size:x-small;">©2023 <a href="https://www.fbbva.es/galardonados/robert-cardona-aguilar/">FBBVA</a></p></div><div class="col-lg-8"><h2 style="text-align:center;">Robert Cardona</h2><h3 class="institution" style="font-style: italic;text-align:center;">(Universitat de Barcelona)</h3><p>Specialist in contact symplectic geometry and topology, with emphasis in the interaction of these fields with conservative dynamics and hydrodynamics.</p><p><em>Profesor Lector</em> at聽Universitat聽de Barcelona, from 2023. <em>Vicent聽Caselles Award</em>聽2023; and <em>脡variste聽Galois Award</em>聽2019. <em>Postdoctoral Researcher</em> at Instituto de Ciencias Matem谩ticas, 2022-2023. <em>Postdoctoral Researcher</em> at Universit茅聽de聽Strasbourg (France), 2021-2022. <em>PhD</em> from聽Universitat聽Polit猫cnica聽de聽Catalunya (UPC), 2021; <em>M谩ster en Matem谩tica Avanzada e Ingenier铆a Matem谩tica</em>from <a style="font-style:inherit;" title="Universidad Polit茅cnica de Catalunya">UPC</a>, 2018; and <em>Grado en Matem谩ticas</em> from <a style="font-style:inherit;" title="Universidad Polit茅cnica de Catalunya">UPC</a>, 2017.</p></div></div><hr/><h2 style="text-align:center;">Symplectic topology, dynamics, and  ideal fluids</h2><p>Originating in the works of Poincar茅 at the end of the XIX century, dynamical systems and symplectic (and contact) topology are two disciplines of mathematics that first developed in a rather independent way. In the last two decades, "Symplectic dynamics" has become a flourishing new field on its own that integrates ideas of these two classical disciplines. In this talk, we first give an accessible overview of some ideas and recent developments in this theory. We will explore its connections to hydrodynamics, and propose a new framework that links contact topology and symplectic dynamics to the study of the time-dependent Euler equations for ideal fluid motion on three-manifolds. The latter is based on joint work with Francisco Torres de Lizaur.</p><hr/><p><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html"><b>C贸digos MSC</b></a>: <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=57K43">57K43</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=57K33">57K33</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=37J06">37J06</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=35Q31">35Q31</a><hr/><hr/> <h2 id="plenaria2" class="plenariaheader"><em>Artekale</em> Plenary Talk</h2><h4 class="plenariaheaderb">Tuesday 14, 9:30<br/>[<a href="sede_en.html#aulamagna"><em>Great Hall</em> of the UPV/EHU</a>]</h4><hr/><div class="row" style="display:flex;align-items: center;"><div class="col-lg-4" style="text-align:center;"><img class="plenarypic" src="imgs_plenaries/lealpalazon.jpg" alt="Marina Leal Palaz贸n"/><p style="text-align:center;font-size:x-small;">©2023 Marina Leal Palaz贸n</p></div><div class="col-lg-8"><h2 style="text-align:center;">Marina Leal Palaz贸n</h2><h3 class="institution" style="font-style: italic;text-align:center;">(Universidad Miguel Hern谩ndez)</h3><p>Specialist in operations research, with special interest on mixed integer programming.</p><p><em>Profesora Ayudante Doctora</em> at Universidad Miguel Hern谩ndez de Elche and <em>Investigadora</em> in the CIO Institute from that university, from 2020. <em>Postdoctoral Researcher</em> at Universit盲t Trier (Germany), 2019-2020. <em>PhD</em> from Universidad de Sevilla, 2019, with Extraordinary Award; <em>M谩ster en Matem谩tica Avanzada</em> from Universidad de Murcia, 2014; and <em>Licenciatura en Matem谩ticas</em> from Universidad de Alicante, 2013.</p></div></div><hr/><h2 style="text-align:center;">Mathematical Optimization for Unsupervised Learning<br/>in a Data‑Driven World</h2><p>Decision-making is present in many areas such as location, planning, network design, finance, transport, and more. Making good decisions (ideally, the best ones) is crucial in these fields. In decision processes, Operations Research (OR) offers the theories and tools needed to make better decisions. Among all the theories in OR, Mathematical Optimization leads to optimal choices. Since we live in a data-driven world, many decisions today involve the use of data. Clustering is a data analysis technique used to identify groups or clusters within a dataset, serving as a key tool to facilitate the decision-making process in various areas. Hierarchical clustering is a clustering method that builds a hierarchy of groups. It groups data points into a nested tree of clusters, which is visualized as a dendrogram. Different definitions of the distance between two clusters (known as linkages) lead to different dendrograms. Dendrograms are constructed by running iterative greedy algorithms.</p><p>In this talk, three optimization models for hierarchical clustering will be considered. First, the problem of Feature Selection in Single-Linkage Clustering is addressed via Mixed Integer Linear Programming (MILP) formulations. Second, MILP approaches will be developed for computing the purity of a dendrogram. Purity is a measure of the quality of clustering that can be calculated when observations in the data are labeled; it allows for comparing dendrograms. Finally, we will present a formulation for Complete-Linkage clustering.</p><hr/><p><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html"><b>C贸digos MSC</b></a>: <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=90C05">90C05</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=90C11">90C11</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=90C46">90C46</a><hr/><hr/> <h2 id="plenaria3" class="plenariaheader"><em>Dendarikale</em> Plenary Talk</h2><h4 class="plenariaheaderb">Wednesday 15, 9:00<br/>[<a href="sede_en.html#BA"><em>Mitxelena Auditorium</em> in the Bizkaia Aretoa</a>]</h4><hr/><div class="row" style="display:flex;align-items: center;"><div class="col-lg-4" style="text-align:center;"><img class="plenarypic" src="imgs_plenaries/alvarezliebana.png" alt="Javier 脕lvarez Li茅bana"/><p style="text-align:center;font-size:x-small;">©2022 Javier 脕lvarez Li茅bana</p></div><div class="col-lg-8"><h2 style="text-align:center;">Javier 脕lvarez Li茅bana</h2><h3 class="institution" style="font-style: italic;text-align:center;">(Universidad Complutense de Madrid)</h3><p>Specialist in statistics, with emphasis on temporal series and dunctional data analysis.</p><p><em>Profesor Ayudante Doctor</em> at Universidad Complutense de Madrid (UCM), from 2021, being R adviser and educator for RTVE. <em>Analyst and Advisor</em> of Direcci贸n General de Salud P煤blica de Asturias, 2020-21. <em>Profesor Sustituto Ayudante Doctor</em> at Universidad de Oviedo, 2018-2021, with the fellowship <em>Juan de la Cierva Formaci贸n</em>. <em>PhD</em> at Universidad de Granada, 2018; <em>M谩ster en Ingenier铆a Matem谩tica</em> at <a style="font-style:inherit;" title="Universidad Complutense de Madrid">UCM</a>, 2014; and <em>Licenciatura en Matem谩ticas</em> at <a style="font-style:inherit;" title="Universidad Complutense de Madrid">UCM</a>, 2013.</p></div></div><hr/><h2 style="text-align:center;">Biases, fallacies and other statistical creatures</h2><p>Statistics play a much greater role in our lives than we often realize, especially in the functioning of a democracy. Why are most political leaders born in the early months of the year? What do political campaigns have in common with World War II and traffic accidents? How can a lottery decide your fate in a war? Why was counting taxis crucial for political parties before modern technology? What are the most common errors in conducting phone surveys? How do chance and uncertainty shape our lives? This plenary talk will explore some of the most frequent statistical biases and fallacies that affect us daily.</p><hr/><p><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html"><b>C贸digos MSC</b></a>: <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=62-07">62-07</a><hr/><hr/> <h2 id="plenaria4" class="plenariaheader"><em>Belostikale</em> Plenary Talk</h2><h4 class="plenariaheaderb">Wednesday 15, 10:30<br/>[<a href="sede_en.html#BA"><em>Mitxelena Auditorium</em> in the Bizkaia Aretoa</a>]</h4><hr/><div class="row" style="display:flex;align-items: center;"><div class="col-lg-4" style="text-align:center;"><img class="plenarypic" src="imgs_plenaries/barcenapetisco.jpg" alt="Jon Asier B谩rcena‑Petisco"/><p style="text-align:center;font-size:x-small;">©2021 <a href="https://www.fbbva.es/galardonados/jon-asier-barcena-petisco/">FBBVA</a> & <a href="https://elpais.com/autor/kike-para/">Kike Para</a></p></div><div class="col-lg-8"><h2 style="text-align:center;">Jon Asier B谩rcena‑Petisco</h2><h3 class="institution" style="font-style: italic;text-align:center;">(UPV/EHU)</h3><p>Specialist in differential equations, with special attention to controllability and observability.</p><p><em>Assistant Professor</em> at UPV/EHU, since 2021. <em>Vicent Caselles Award</em> 2021. <em>Postdoc</em> at Universidad Aut贸noma de Madrid, 2020-2021. <em>PhD</em> from Sorbonne Universit茅 (France), 2020; <em>Master1 Math茅matiques</em> and <em>Master2 Math茅matiques et applications</em> from Sorbonne Universit茅 (France), 2016 y 2017; and <em>Grado en Matem谩ticas</em> from UPV/EHU, 2016.</p></div></div><hr/><h2 style="text-align:center;">Controllability of the heat equation in Lipschitz domains</h2><p>The heat equation is the most basic parabolic PDE. Its null controllability was proved in the 90s for all $C^2$ domains by Fursikov and Imanuvilov. However, this problem still remains open in arbitrary Lipschitz domains. In this talk, first, we introduce the notions of controllability and observability, and show that they are dual concepts. Secondly, we present the classical techniques used on the controllability of the heat equation for $C^2$ domains. Finally, we discuss the recent controllability results of the heat equation for domains that are not $C^2$. All this is done in an elementary way, just requiring some basic knowledge on Mathematical Analysis.</p><hr/><p><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html"><b>C贸digos MSC</b></a>: <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=93-02">93-02</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=93C20">93C20</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=35K05">35K05</a><hr/><hr/> <h2 id="plenaria5" class="plenariaheader"><em>Harategi Zahar Kalea</em> Plenary Talk</h2><h4 class="plenariaheaderb">Thursday 16, 9:00<br/>[<a href="sede_en.html#aulamagna"><em>Great Hall</em> of the UPV/EHU</a>]</h4><hr/><div class="row" style="display:flex;align-items: center;"><div class="col-lg-4" style="text-align:center;"><img class="plenarypic" src="imgs_plenaries/cumplido.jpg" alt="Mar铆a Cumplido"/><p style="text-align:center;font-size:x-small;">©2023 Ana Cabello Pastor</p></div><div class="col-lg-8"><h2 style="text-align:center;">Mar铆a Cumplido</h2><h3 class="institution" style="font-style: italic;text-align:center;">(Universidad de Sevilla)</h3><p>Specialist in group theory, specially braid and Artin groups with emphasis on combinatorial and geometric methods.</p><p><em>Investigadora Ram贸n y Cajal</em> at Universidad de Sevilla (US) from 2022 [December], being co-main researcher of the project "Geometric groups theory: From Cremona groups to braid groups". <em>Vicent Caselles Award</em> 2020. <em>Postdoctoral Researcher</em> at <a style="font-style:inherit;" title="Universidad de Sevilla">US</a>, 2021 [February]-2022 [November]. <em>Profesora Ayudante Doctora</em> at Universidad Complutense de Madrid, 2021 [September]-2022 [January]. <em>Postdoctoral Researcher</em> at Herior-Watt University (Canada), 2019-2020. <em>Postdoctoral Researcher</em> at Universit茅 de Bourgogne, 2018-2019. <em>PhD</em> from Universit茅 de Rennes 1 (France) and <a style="font-style:inherit;" title="Universidad de Sevilla">US</a>, 2018 [September], with <em>2e prix de th猫se</em> 2018 from the Fondation Rennes 1 in Mathematics and Information Technology; <em>M谩ster en Matem谩tica Avanzada</em> from <a style="font-style:inherit;" title="Universidad de Sevilla">US</a>, 2015; and <em>Grado en Matem谩ticas</em> from <a style="font-style:inherit;" title="Universidad de Sevilla">US</a>, 2014.</p></div></div><hr/><h2 style="text-align:center;">Braids, curves and parabolic subgroups</h2><p>The aim of this talk is to explain and motivate the central objects of my research: parabolic subgroups. Braids are versatile objects, as they have both topological and purely algebraic descriptions. With the topological definition, we find generalizations such as mapping class groups, while with the algebraic definition, the most important generalization is Artin groups. Very little is known about Artin groups (the classic Dehn problems remain open in general). One approach to learning more is to see how topological strategies, such as the action of the braid group on the curve complex of a surface, can be translated into the algebraic context. In this situation, the algebraic analogs of curves are precisely parabolic subgroups. During the talk, we will discuss the main open questions about these subgroups and the different strategies available to tackle them.</p><hr/><p><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html"><b>C贸digos MSC</b></a>: <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=20F36">20F36</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=20F65">20F65</a><hr/><hr/> <h2 id="plenaria6" class="plenariaheader"><em>Barrenkale</em> Plenary Talk</h2><h4 class="plenariaheaderb">Thursday 16, 15:00<br/>[<a href="sede_en.html#aulamagna"><em>Great Hall</em> of the UPV/EHU</a>]</h4><hr/><div class="row" style="display:flex;align-items: center;"><div class="col-lg-4" style="text-align:center;"><img class="plenarypic" src="imgs_plenaries/frutosfernandez.jpg" alt="Mar铆a In茅s de Frutos Fern谩ndez"/><p style="text-align:center;font-size:x-small;">©2023 Francisco Penedo 脕lvarez</p></div><div class="col-lg-8"><h2 style="text-align:center;">Mar铆a In茅s de Frutos Fern谩ndez</h2><h3 class="institution" style="font-style: italic;text-align:center;">(University of Bonn)</h3><p>Specialist in mathematical formalization and algebraic number theory.</p><p><em>Investigadora Postdoctoral</em> en la University of Bonn, desde 2024. <em>Postdoctoral Researcher Margarita Salas</em> at Universidad Aut贸noma de Madrid (UAM), 2023 [February]-2024. <em>Research Associate</em> at Imperial College London (United Kingdom), 2021 [August]-2023 [February]. <em>Profesora Ayudante Doctora</em> at Universidad Nebrija, 2021 [April-August]. <em>PhD</em> from Boston University (BU) (Massachusetts, <a style="font-style:inherit;" title="Universidad de Sevilla">US</a>A), 2020 [May]; <em>MA in Mathematics</em> from <a style="font-style:inherit;" title="Boston University">BU</a>, 2018; and <em>Doble Grado en Matem谩ticas e Ingenier铆a Inform谩tica</em> from <a style="font-style:inherit;" title="Universidad Aut贸noma de Madrid">UAM</a>, 2014, with Honorific Mention.</p></div></div><hr/><h2 style="text-align:center;">Formalization of number theory in Lean</h2><p>Mathematical formalization consists of digitizing mathematical definitions and results using a "proof assistant", a computer program capable of checking whether a proposition can be deduced from a set of inference rules and a collection of basic axioms. In recent years, the community of mathematicians working on formalization has grown rapidly and has reached milestones that demonstrate the ability to formalize results at the frontier of knowledge. Proof assistants have applications to mathematics research, teaching, and communication.</p><p>After a brief introduction to formalization, I will present several of my number theory formalization results in the Lean interactive proof assistant, from sub-areas that include class field theory, p-adic Hodge theory, and the theory of Drinfeld modules.</p><hr/><p><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html"><b>C贸digos MSC</b></a>: <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=68V20">68V20</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=68V15">68V15</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=11-XX">11-XX</a><hr/><hr/> <h2 id="plenaria7" class="plenariaheader"><em>Barrenkale Barrena</em> Plenary Talk</h2><h4 class="plenariaheaderb">Friday 17, 11:30<br/>[<a href="sede_en.html#aulamagna"><em>Great Hall</em> of the UPV/EHU</a>]</h4><hr/><div class="row" style="display:flex;align-items: center;"><div class="col-lg-4" style="text-align:center;"><img class="plenarypic" src="imgs_plenaries/capel.png" alt="脕ngela Capel"/><p style="text-align:center;font-size:x-small;">©2023 Perimeter Institute</p></div><div class="col-lg-8"><h2 style="text-align:center;">脕ngela Capel</h2><h3 class="institution" style="font-style: italic;text-align:center;">(University of Cambridge)</h3><p>Specialist in quantum information theory and in mathematical physics.</p><p><em>Assistant Professor</em> at University of Cambridge (United Kingdom), from 2024. Member of the List <em>Forbes 30 under 30 Spain</em> 2023; and <em>Vicent Caselles Award</em> 2022. <em>Junior Professor</em> at Universit盲t T眉bingen (Germany), 2021-2024. <em>Simons Emmy Noether Fellow</em> at Perimeter Institute for Theoretical Physics (Canada), 2023. <em>MCQST Distinguished Postdoc</em> at Technische Universit盲t M眉nchen (Germany), 2020-2021. <em>PhD</em> from Universidad Aut贸noma de Madrid (UAM), 2019, with the scholarship La Caixa-Severo Ochoa from Instituto de Ciencias Matem谩ticas (ICMAT); <em>M谩ster en Matematicas y Aplicaciones</em> from <a style="font-style:inherit;" title="Universidad Aut贸noma de Madrid">UAM</a>, 2015; and <em>Licenciatura en Matem谩ticas</em> from Universidad de Granada, 2014.</p></div></div><hr/><h2 style="text-align:center;">Thermalization of open quantum many‑body systems</h2><p>A dissipative evolution of an open quantum many-body system weakly coupled to a thermal bath can be modelled by a quantum Markov semigroup, and its mixing time can be bounded using optimal constants of certain quantum functional inequalities, such as the modified logarithmic Sobolev聽constant. In this talk, we will review the mathematical formalism of dissipative evolutions governed by Lindbladians, and we will summarize the current state of the art on mixing times when the system has an associated commuting Hamiltonian.</p><hr/><p><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html"><b>C贸digos MSC</b></a>: <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=47N50">47N50</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=39B62">39B62</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=15A90">15A90</a><hr/><hr/> <hr/> <div class="row breakfooter"><div class="col-md-12"><a class="btn btn-colora" href="horario_en.html" style="width:100%;">Return to Congress Schedule</a></div></div> <hr class="breakfooter"/> <div class="row"><div class="col-md-12"><a class="btn btn-colora" href="programa_en.html" style="width:100%;">Return to Congress Program</a></div></div> </div> <footer style="margin-top:1em;padding-top:1em;padding-bottom:1em;"> <div class="row" style="margin:0;padding:0;"> <div class="col-lg-10"> <p id="finalpar" style="margin-bottom:0;padding-bottom:0;">© UPV/EHU & RSME<br class="breakfooter"/> (unless otherwise indicated)</p> <p id="finalpar2" style="margin-bottom:0;padding-bottom:0;"></p> </div> <div class="col-lg-2"><p id="finalsentence2" style="font-style:italic;"><a href="webcredits.html" >Web Credits</a></p> </div> </div> </footer>    <script src="https://code.jquery.com/jquery-3.1.1.slim.min.js" integrity="sha384-A7FZj7v+d/sdmMqp/nOQwliLvUsJfDHW+k9Omg/a/EheAdgtzNs3hpfag6Ed950n" crossorigin="anonymous"></script> <script>window.jQuery || document.write('<script src="../../assets/js/vendor/jquery.min.js"><\/script>')</script> <script src="https://cdnjs.cloudflare.com/ajax/libs/tether/1.4.0/js/tether.min.js" integrity="sha384-DztdAPBWPRXSA/3eYEEUWrWCy7G5KFbe8fFjk5JAIxUYHKkDx6Qin1DkWx51bBrb" crossorigin="anonymous"></script> <script src="js/bootstrap.min.js"></script>  <script src="js/ie10-viewport-bug-workaround.js"></script>  <script type="text/javascript">  </script>  <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: { inlineMath: [ ['$','$'], ["\$","\$"] ], processEscapes: true } }); </script> <script type="text/javascript" src='https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML' async></script> </body> </html>