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<h2>cvgmt weekly bulletin</h2>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/983/'>Skorobogatova</a></p>
<p><b>New papers by:</b> <a >Lynch</a>, <a >O. Vičánek Martínez</a>, <a >Wood</a>, <a >Cederbaum</a>, <a >Massucco</a>, <a href='/person/2068/' >Carioni</a>, <a href='/person/150/' >Franzina</a>, <a href='/person/3611/' >Marziani</a>, <a href='/person/4763/' >Klingenberg</a>, <a >Gallouët</a>, <a href='/person/5153/' >Cogo</a>, <a href='/person/1826/' >Pluda</a>, <a href='/person/6049/' >Tsiamis</a>, <a >Schönlieb</a>, <a >Nützi</a>, <a href='/person/1962/' >Fogagnolo</a>, <a href='/person/4398/' >Riccò</a>, <a >Brune</a>, <a href='/person/5296/' >Deutsch</a>, <a href='/person/4657/' >Siclari</a>, <a >Young</a>, <a href='/person/3904/' >Borza</a>, <a href='/person/2883/' >Antonelli</a>, <a >Mérigot</a>, <a href='/person/198/' >Brasco</a>, <a href='/person/336/' >Velichkov</a>, <a href='/person/3664/' >Briani</a>, <a href='/person/2642/' >Borghini</a>, <a href='/person/5081/' >Cosenza</a>, <a href='/person/5856/' >Colasanto</a>, <a href='/person/1251/' >Bourne</a>, <a href='/person/5732/' >Del Grande</a>, <a href='/person/759/' >Fornasier</a>, <a href='/person/3948/' >Buze</a>, <a href='/person/245/' >Focardi</a>, <a href='/person/4086/' >Mattesini</a>, <a href='/person/6391/' >Gatti</a>, <a >Avalos</a>, <a >Andoni Royo Abrego</a>, <a >Andoni Royo Abrego</a>, <a >Piotr T. Chruściel</a>, <a >Fehrenbach</a>, <a >Leandro</a>, <a >João Paulo dos Santos</a>, <a >Cogo</a></p>
<p><b>Modified papers by:</b> <a >Ma</a>, <a href='/person/133/'>Ansini</a>, <a href='/person/135/'>Catino</a>, <a >Guerra</a>, <a href='/person/5262/'>Sopio</a>, <a href='/person/4368/'>Piccinini</a>, <a href='/person/24/'>Palatucci</a>, <a >Lamy</a>, <a href='/person/26/'>Stepanov</a>, <a >Maggiorelli</a>, <a href='/person/2476/'>Tribuzio</a>, <a >Monticelli</a>, <a >Kroshnin</a>, <a href='/person/179/'>Celada</a>, <a href='/person/185/'>Mucci</a>, <a >Guerra </a>, <a >Caragiulo</a>, <a href='/person/3270/'>Roncoroni</a>, <a href='/person/4167/'>Carano</a>, <a href='/person/4425/'>Meglioli</a>, <a >Moser</a>, <a href='/person/2906/'>Riva</a>, <a href='/person/3937/'>Anceschi</a>, <a href='/person/2280/'>Zemas</a>, <a href='/person/2922/'>Saracco</a>, <a >Kryzhevich</a>, <a href='/person/5230/'>Voglino</a>, <a href='/person/5234/'>Scalabrino</a>, <a href='/person/5363/'>Tolotti</a>, <a >Lamy </a>, <a >Grigor'yan</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/1075/'>Mathematical Foundations of Machine Learning - MFML2026</a></b><br />
Mon 25 May 2026 - Fri 29 May 2026<br />
Vason, Monte Bondone (Trento)<br />
</p></li>
<li><p>
<b><a href='/event/1056/'>Perspectives in Applied Mathematics -- A conference in honor of Felix Otto’s 60th birthday</a></b><br />
Tue 26 May 2026 - Fri 29 May 2026<br />
University of Bonn<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Mon 25 May 2026</h3><ul>
<li><p>
BANG (Bridging ANalysis & Geometry) online seminar
organized by Esther Cabezas-Rivas & Salvador Moll (Universitat de València)<br />
Anna Skorobogatova (ETH Zurich): <b><a href='/seminar/983/'>Non-uniqueness of locally minimizing clusters</a></b><br />
, 16:30<br />
</p>
<div style="font-size: smaller;"><p>Optimal bubble cluster problems concern the study of partitions of n-dimensional Euclidean space into a finite collection of chambers, some with finite volume and some with infinite volume. One looks for local minimizers of interfacial area subject to volume constraints on the finite-volume chambers. The case of one infinite-volume chamber is the classical multiple bubble problem and has received much attention in recent decades, with a well-known conjecture of Sullivan predicting the existence of a unique minimizing configuration when there are not too many chambers, which has been partially verified to be true in low dimensions.
</p>
<p>We study a variant of the multiple bubble problem with more than one infinite-volume chamber, in particular the simplest case of 1 finite-volume chamber and 2 infinite-volume chambers. Here, Bronsard & Novack showed that uniqueness of local minimizers also holds in sufficiently low dimensions. In stark contrast, we show that uniqueness fails in a large number of dimensions n > 7 and we provide some particular surprising phenomena that local minimizers can exhibit in these higher dimensions. This is based on joint work with Lia Bronsard, Robin Neumayer and Michael Novack.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Marziani:</b> <a href='/paper/7725/'>Wrinkling in the Lamé problem: a $\Gamma$-convergence approach</a></p>
<p><b> Cosenza:</b> <a href='/paper/7727/'>Derivation and analysis of reduced models for type-I superconductors</a></p>
<p><b> Antonelli, Young:</b> <a href='/paper/7728/'>Area of Hölder curves and coarea formula on the Heisenberg group</a></p>
<p><b> Colasanto, Focardi, Fornasier, Mattesini:</b> <a href='/paper/7729/'>Sharp Rates of MMD Empirical Estimation with Power Kernels</a></p>
<p><b> Deutsch, Riccò:</b> <a href='/paper/7730/'>A regularity result for $BV^{\mathcal{A}}(\Omega)$</a></p>
<p><b> Fogagnolo, Gatti, Pluda:</b> <a href='/paper/7731/'>Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow</a></p>
<p><b> Siclari, Velichkov:</b> <a href='/paper/7732/'>On a Multiphase Vectorial Bernoulli Free Boundary Problem</a></p>
<p><b> Bourne, Buze, Gallouët, Mérigot:</b> <a href='/paper/7733/'>Polynomial diagrams for microstructure modelling</a></p>
<p><b> Avalos, Cogo, Andoni Royo Abrego:</b> <a href='/paper/7734/'>Regularity of conformal structures on closed 3-manifolds</a></p>
<p><b> Avalos, Cogo, Andoni Royo Abrego:</b> <a href='/paper/7735/'>Conformal Green functions and Yamabe metrics of Sobolev regularity</a></p>
<p><b> Piotr T. Chruściel, Cogo, Nützi:</b> <a href='/paper/7736/'>A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing</a></p>
<p><b> Cederbaum, Cogo, Fehrenbach:</b> <a href='/paper/7737/'>Uniqueness of equipotential photon surfaces in 4-dimensional static vacuum asymptotically flat spacetimes for positive, negative, and zero mass -- and a new partial proof of the Willmore inequality</a></p>
<p><b> Cederbaum, Cogo, Leandro, João Paulo dos Santos:</b> <a href='/paper/7738/'>Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in $n+1$ dimensions à la Robinson</a></p>
<p><b> Borghini, Cederbaum, Cogo:</b> <a href='/paper/7739/'>Black Hole and Equipotential Photon Surface Uniqueness in 4-dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes</a></p>
<p><b> Cogo, Lynch, O. Vičánek Martínez:</b> <a href='/paper/7740/'>Rotational symmetry of ancient solutions to fully nonlinear curvature flows</a></p>
<p><b> Borza, Klingenberg, Wood:</b> <a href='/paper/7747/'>Optimal transport on the sub-Lorentzian Heisenberg group</a></p>
<p><b> Brasco, Briani, Franzina:</b> <a href='/paper/7748/'>Essential spectrum for the $p-$Laplacian</a></p>
<p><b> Massucco, Del Grande, Carioni, Brune, Schönlieb:</b> <a href='/paper/7749/'>Multi-Headed Transformer Architectures as Time-dependent Wasserstein Gradient Flows</a></p>
<p><b> Carioni, Del Grande:</b> <a href='/paper/7750/'>Exact Sparse Representation Recovery in Signal Demixing and Group BLASSO</a></p>
<p><b> Tsiamis:</b> <a href='/paper/7751/'>Sharp systolic inequalities for Kähler manifolds</a></p>
<h2>Modified Papers</h2>
<p><b> Mucci:</b> <a href='/paper/5935/'>A relaxation result for a second order energy of mappings into the sphere</a></p>
<p><b> Anceschi, Palatucci, Piccinini:</b> <a href='/paper/6687/'>De Giorgi-Nash-Moser theory for kinetic equations with nonlocal diffusions</a></p>
<p><b> Kroshnin, Ma, Stepanov:</b> <a href='/paper/6946/'>On the signature of squared distance matrices of metric measure spaces</a></p>
<p><b> Celada, Mucci:</b> <a href='/paper/6992/'>On generalized Varga materials</a></p>
<p><b> Maggiorelli, Riva, Tolotti:</b> <a href='/paper/7040/'>A free boundary approach to the quasistatic evolution of debonding models</a></p>
<p><b> Mucci:</b> <a href='/paper/7155/'>Functions of bounded variation in trace spaces</a></p>
<p><b> Catino, Monticelli, Roncoroni:</b> <a href='/paper/7159/'>Rigidity of solutions to singular/degenerate semilinear critical equations</a></p>
<p><b> Guerra, Lamy, Zemas:</b> <a href='/paper/7188/'>Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant</a></p>
<p><b> Grigor'yan, Meglioli, Roncoroni:</b> <a href='/paper/7199/'>Rigidity for the heat equation with density on Riemannian manifolds through a conformal change</a></p>
<p><b> Mucci, Saracco, Sopio:</b> <a href='/paper/7290/'>Weak elastic energy of rectifiable curves in the sphere</a></p>
<p><b> Kryzhevich, Stepanov:</b> <a href='/paper/7313/'>Minimal points and non-holonomic controlability on compact manifolds</a></p>
<p><b> Carano, Moser:</b> <a href='/paper/7362/'>An $L^\infty$-variational problem involving the Fractional Laplacian</a></p>
<p><b> Caragiulo, Scalabrino, Voglino:</b> <a href='/paper/7664/'>Homogenization in one-dimensional higher-order non-local models of phase transitions</a></p>
<p><b> Ansini, Tribuzio:</b> <a href='/paper/7713/'>Multiscale analysis and homogenization of nonlocal thin films</a></p>
<p><b> Guerra , Lamy , Zemas:</b> <a href='/paper/7724/'>Some lifting and approximation properties for maps in $W^{1,2}(\mathbb B^3;\mathbb S^2)$</a></p>
<h2>Open Positions</h2>
<p><b>(new)</b> <a href="/position/1123/">PhD Scholarship in Analysis at the University of Trento</a> (deadline: Fri 29 May 2026)</p>
<p><a href="/position/1122/">Postdoc position at the University of Vienna</a> (deadline: Sun 31 May 2026)</p>
<p><a href="/position/1119/">PhD positions - University of Udine</a> (deadline: Thu 4 June 2026)</p>
<p><b>(new)</b> <a href="/position/1125/">2 research appointments in the FIS Project "BRIDGE" - Trento (Incarico di ricerca)</a> (deadline: Fri 5 June 2026)</p>
<p><b>(new)</b> <a href="/position/1126/">2 postdoctoral appointments in the FIS Project "BRIDGE" - Trento (Incarico post-doc)</a> (deadline: Mon 8 June 2026)</p>
<p><b>(new)</b> <a href="/position/1127/">11 PhD scholarships at the universities of Trento and Verona</a> (deadline: Sat 20 June 2026)</p>
<p><a href="/position/1116/">Manifestation of interest for a 2-year postdoc in Padova in Geometric Analysis</a> (deadline: Tue 30 June 2026)</p>
<p><a href="/position/1121/">Bando di selezione per l'assegnazione di 2 borse di studio per la frequenza della LM in Matematica a Trento</a> (deadline: Wed 29 July 2026)</p>
<p><a href="/position/1120/">PhD in Geometric Analysis at University of Vienna</a> (deadline: Fri 31 July 2026)</p>
<p><b>(new)</b> <a href="/position/1124/">PhD Positions in the International Research Training Group "Analysis of Nonlinear PDE"</a> (deadline: Fri 31 July 2026)</p>
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