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To find an activity of your interest just go down on the list. Normally seminars are given in English. If not, they will be marked as <strong>Spanish Only.</strong></p> <p> </p> <div id="et_pt_blog">  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61351">Truthful Budget Aggregation: Beyond Moving-Phantom Mechanisms.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Apr 02, 2025 in <a href="https://www.cmm.uchile.cl/?cat=160" rel="category">ACGO</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>Abstract: We study a budget-aggregation setting in which a number of voters report their ideal distribution of a budget over a set of alternatives, and a mechanism aggregates these reports into an allocation. Ideally, such mechanisms are truthful, i.e., voters should not be incentivized to misreport their preferences. For the case of two alternatives, the set of mechanisms that are truthful and additionally meet a range of basic desiderata (anonymity, neutrality, and continuity) exactly coincides with the so-called moving-phantom mechanisms,...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61354">Generative Social Choice</a></h2>  <p class="et_pt_blogmeta"> Event Date: Apr 02, 2025 in <a href="https://www.cmm.uchile.cl/?cat=160" rel="category">ACGO</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>The mathematical study of voting, social choice theory, has traditionally only been applicable to choices among a few predetermined alternatives, but not to open-ended decisions such as collectively selecting a textual statement. We introduce generative social choice, a design methodology for open-ended democratic processes that combines the rigor of social choice theory with the capability of large language models to generate text and extrapolate preferences. Our framework divides the design of AI-augmented democratic processes into two...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61290">El Grupo de Automorfismos de un Subshift.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 31, 2025 in <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>RESUMEN: El grupo de automorfismos de un subshift es una invariante algebraica que ha sido muy estudiada desde los años 60s. Daré una introducción al tema pasando por los teoremas clásicos y terminaré presentando un resultado reciente que relaciona estos grupos con aspectos de la geometría del grupo subyacente al subshift. Trabajo en conjunto con Nicanor Carrasco Vargas y Paola Rivera Burgos.</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61312">Shortest Odd path on undirected graphs with conservative weights.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 31, 2025 in <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a>, <a href="https://www.cmm.uchile.cl/?cat=328" rel="category">SIPo (Seminario de Investigadores Postdoctorales)</a> </p>   <p>Abstract: We consider the Shortest Odd Path (SOP) problem, where given an undirected graph $G$, a weight function on its edges, and two vertices $s$ and $t$ in $G$, the aim is to find an $(s,t)$-path with odd length and, among all such paths, of minimum weight. For the case when the weight function is conservative, i.e., when every cycle has non-negative total weight, the complexity of the SOP problem had been open for 20 years, and was recently shown to be NP-hard. I’ll present a polynomial-time algorithm for the special case when the...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61258">The role of Korteweg-de Vries symmetries in the partition function of extremal Black Holes.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 28, 2025 in <a href="https://www.cmm.uchile.cl/?cat=69" rel="category">Differential Equations</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>Abstract: Abstract: In this talk, we will explore the role of generalized symmetries—symmetry groups that classify families of partial differential equations—in identifying fundamental symmetries in physics. We will also examine how this framework is crucial for defining conservation laws, building on Noether’s theorems and the contribution of Sophus Lie to the understanding of continuous symmetries. We focus on gravity, particularly within the Hamiltonian formalism, and highlight the importance of surface integrals to define conserved...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61284">A (dis)continuous percolation phase transition on the hierarchical lattice.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 26, 2025 in <a href="https://www.cmm.uchile.cl/?cat=175" rel="category">Seminario de Probabilidades de Chile</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p> Abstract: For long-range percolation on $\mathbb{Z}$ with translation-invariant edge kernel $J$, it is a classical theorem of Aizenman and Newman (1986) that the phase transition is discontinuous when $J(x-y)$ is of order $|x-y|^{-2}$ and that there is no phase transition at all when $J(x-y)=o(|x-y|^{-2})$. We prove analogous theorems for the hierarchical lattice, where the relevant threshold is at $|x-y|^{-2d} \log \log |x-y|$ rather than $|x-y|^{-2}$: There is a continuous phase transition for kernels of larger order, a discontinuous...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61147">Parabolic trapped subvarieties in globally hyperbolic spacetimes.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 21, 2025 in <a href="https://www.cmm.uchile.cl/?cat=69" rel="category">Differential Equations</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>Abstract:   Abstract: Since 1965 when Penrose defined the concept of a trapped surface (compact and without boundary) in a 4-dimensional space-time, these surfaces have been an important object of study for geometricians and theoretical physicists, standing out for their mathematical properties as well as for their applications in general relativity. Trapped surfaces can be defined in terms of the causal character of their mean curvature vector, which allows us to generalize them to subvarieties, not necessarily compact and of any...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61160">El uso de imágenes satelitales en Argentina y sus aplicaciones en espacios urbanos</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 21, 2025 in <a href="https://www.cmm.uchile.cl/?cat=207" rel="category">Centro de Referencia Copernicus-Chile</a>, <a href="https://www.cmm.uchile.cl/?cat=205" rel="category">Ciclo de Seminarios conjuntos CopLAC-Chile</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>En el seminario se hará un recorrido por el uso de imágenes satelitales para el análisis de procesos urbanos en Argentina, particularmente en ciudades intermedias bonaerenses. Se presentarán estudios de casos aplicados y metodológicos sobre: la extracción de firmas espectrales para el estudio de densidades urbanas, comparación de productos Landsat y Sentinel 2, efectos de la pandemia en concentraciones de NO2, análisis de procesos de urbanización y consecuencias en el ambiente, y la utilización de productos mixtos para el análisis de patrones...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61150">Two-Edge Connectivity via Pac-Man Gluing.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 19, 2025 in <a href="https://www.cmm.uchile.cl/?cat=160" rel="category">ACGO</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>Abstract: We study the 2-edge-connected spanning subgraph (2-ECSS) problem: Given a graph G, compute a connected subgraph H of G with the minimum number of edges such that H is spanning, i.e., V(H) = V(G), and H is 2-edge-connected, i.e., H remains connected upon the deletion of any single edge, if such an H exists. The 2-ECSS problem is known to be NP-hard. In this work, we provide a polynomial-time (5/4 + epsilon)-approximation for the problem for an arbitrarily small epsilon>0, improving the previous best approximation ratio of 13/10 +...</p>   </div>  <div class="et_pt_blogentry clearfix"> <h2 class="et_pt_title"><a href="https://www.cmm.uchile.cl/?p=61153">Long time asymptotics for critical birth and death diffusion processes.</a></h2>  <p class="et_pt_blogmeta"> Event Date: Mar 19, 2025 in <a href="https://www.cmm.uchile.cl/?cat=175" rel="category">Seminario de Probabilidades de Chile</a>, <a href="https://www.cmm.uchile.cl/?cat=7" rel="category">Seminars</a> </p>   <p>Resumen: We study the long time behavior for the distribution of a critical birth and death diffusion process, motivated by population dynamics in changing environment (cf. a recent paper by Calvez, Henry, Méléard, Tran). The birth rates are bounded but death rates are unbounded. Our analysis is based on the spectral properties of the associated Feynman Kac semigroup. We require a standard spectral gap property for this semigroup with a dominant eigenfunction vanishing at infinity. 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