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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/985/'>Brendle</a></p>
<p><b>New papers by:</b> <a href='/person/5120/' >Poiatti</a>, <a href='/person/2/' >Giacomelli</a>, <a href='/person/1283/' >Han</a>, <a >Liu</a>, <a >Zhu</a>, <a href='/person/1932/' >Laux</a>, <a href='/person/15/' >Paronetto</a>, <a href='/person/24/' >Palatucci</a>, <a >Fathi</a>, <a href='/person/2331/' >Caponi</a>, <a >Ciampa</a>, <a >Brune</a>, <a href='/person/3128/' >Goffi</a>, <a href='/person/4539/' >Iglesias</a>, <a href='/person/3261/' >Maione</a>, <a href='/person/198/' >Brasco</a>, <a href='/person/5194/' >Cristinelli</a>, <a href='/person/6474/' >Braglia</a>, <a href='/person/6477/' >Scapin</a>, <a >Tengler</a>, <a >Dummer</a>, <a >Tjeerd Jan Heeringa</a>, <a >Gruen</a>, <a >Utley</a>, <a href='/person/4323/' >Brusca</a>, <a href='/person/3823/' >Violo</a>, <a href='/person/5367/' >Valentini</a>, <a href='/person/2808/' >Carbotti</a>, <a >Yin</a></p>
<p><b>Modified papers by:</b> <a >Yudowitz</a>, <a href='/person/1251/'>Bourne</a>, <a href='/person/965/'>Mondino</a>, <a href='/person/3494/'>Ghosh</a>, <a href='/person/3751/'>Mramor</a>, <a href='/person/5895/'>Wang</a>, <a >Bobkov</a>, <a >Kristály</a>, <a >Schmitzer</a>, <a > </a>, <a href='/person/1517/'>Spolaor</a>, <a >Wirth</a>, <a href='/person/1753/'>De Rosa</a>, <a href='/person/4823/'>Halavati</a>, <a href='/person/2808/'>Carbotti</a>, <a >ANOOP</a>, <a href='/person/2331/'>Caponi</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/1077/'>XXII Escola de Geometria Diferencial</a></b><br />
Mon 13 July 2026 - Fri 17 July 2026<br />
</p></li>
<li><p>
<b><a href='/event/1091/'>Summer School on PDEs and Randomness</a></b><br />
Mon 13 July 2026 - Fri 17 July 2026<br />
Max Planck Institute for Mathematics in the Sciences, Leipzig<br />
</p></li>
<li><p>
<b><a href='/event/1094/'>New trends in elliptic PDEs</a></b><br />
Mon 13 July 2026 - Fri 17 July 2026<br />
Będlewo<br />
</p></li>
<li><p>
<b><a href='/event/1158/'>Durham Symposium on Metric Geometry, Analysis and Probability</a></b><br />
Mon 13 July 2026 - Fri 17 July 2026<br />
Durham UK<br />
</p></li>
<li><p>
<b><a href='/event/1064/'>New Challenges in Calculus of Variations</a></b><br />
Tue 14 July 2026 - Fri 17 July 2026<br />
Centro Ennio De Giorgi, Pisa<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Wed 15 July 2026</h3><ul>
<li><p>
Agenda: Get-together (30 min), presentation Simon Brendle (60 min), questions and discussions (30 min).<br />
Simon Brendle: <b><a href='/seminar/985/'>A dimension descent scheme for the positive mass theorem in arbitrary dimension</a></b><br />
, 08:30<br />
</p>
<div style="font-size: smaller;"><p>We describe an inductive scheme for proving the positive mass theorem in arbitrary dimension, extending the minimal hypersurface approach pioneered by Schoen and Yau. This is joint work with Yipeng Wang.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Scapin:</b> <a href='/paper/7838/'>On the existence of canonical multi-phase free boundary Brakke flows: a case study</a></p>
<p><b> Palatucci:</b> <a href='/paper/7839/'>Capacitary screening for global fractional energies in periodically perforated media</a></p>
<p><b> Han, Zhu:</b> <a href='/paper/7840/'>Two-mode stability for multi-marginal optimal transport maps</a></p>
<p><b> Han, Liu:</b> <a href='/paper/7841/'>Wasserstein Barycenter Convexity Detects Hilbertian Geometry</a></p>
<p><b> Han, Yin:</b> <a href='/paper/7842/'>Weak Quadruple Comparison and Structure Theory beyond Alexandrov Geometry</a></p>
<p><b> Han, Zhu:</b> <a href='/paper/7843/'>Stability of optimal transport on metric measure spaces</a></p>
<p><b> Cristinelli, Iglesias:</b> <a href='/paper/7844/'>Towards sparse optimization over convex loops: Equivalence of Square Root Velocity distance and Wasserstein-Fisher-Rao</a></p>
<p><b> Tengler, Brune, Iglesias:</b> <a href='/paper/7845/'>Manifold limit for the training of shallow graph convolutional neural networks</a></p>
<p><b> Dummer, Tjeerd Jan Heeringa, Iglesias:</b> <a href='/paper/7846/'>Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators</a></p>
<p><b> Giacomelli, Gruen, Utley:</b> <a href='/paper/7847/'>Integral inequalities for the thin-film equation in multiple space dimension: improvements and applications</a></p>
<p><b> Laux, Poiatti:</b> <a href='/paper/7848/'>De Giorgi varifold solutions to Mean Curvature Flow: a minimizing movements approach</a></p>
<p><b> Brusca, Caponi, Carbotti, Maione, Paronetto:</b> <a href='/paper/7849/'>$H$-convergence and $\Gamma$-convergence in the Riesz fractional setting: the nonlinear case</a></p>
<p><b> Fathi, Violo:</b> <a href='/paper/7850/'>Quantitative stability in distribution for the Sobolev inequality under curvature dimension condition</a></p>
<p><b> Braglia, Brasco:</b> <a href='/paper/7851/'>Regularity for eigenvalue-type equations in sets with thick complement</a></p>
<p><b> Ciampa, Goffi:</b> <a href='/paper/7852/'>On the rate of the vanishing viscosity approximation for Mean Field Games with nonlocal coupling</a></p>
<p><b> Valentini:</b> <a href='/paper/7853/'>Legendrian cycles and Reilly-type variational formulae for $F_nW^{2,n}$-sets</a></p>
<h2>Modified Papers</h2>
<p><b> Bourne, Schmitzer, Wirth:</b> <a href='/paper/4011/'>Semi-discrete unbalanced optimal transport and quantization</a></p>
<p><b> Halavati:</b> <a href='/paper/6236/'>New weighted inequalities on two-manifolds</a></p>
<p><b> Kristály, Mondino:</b> <a href='/paper/6765/'>Principal frequency of clamped plates on RCD(0,N) spaces: sharpness, rigidity and stability</a></p>
<p><b> ANOOP, Bobkov, Ghosh:</b> <a href='/paper/6962/'>Neumann domains of planar analytic eigenfunctions</a></p>
<p><b> Halavati, Spolaor:</b> <a href='/paper/7260/'>Carleman estimates for stationary $Q$-valued maps: a variational approach</a></p>
<p><b> Caponi:</b> <a href='/paper/7292/'>A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces</a></p>
<p><b> Mramor, Yudowitz, :</b> <a href='/paper/7511/'>An Ancient Stacked Pancake Solution to Mean Curvature Flow</a></p>
<p><b> Carbotti:</b> <a href='/paper/7609/'>A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials</a></p>
<p><b> De Rosa, Halavati, Wang:</b> <a href='/paper/7832/'>Min-Max Construction of Anisotropic Minimal Surfaces with Genus Bound</a></p>
<h2>Open Positions</h2>
<p><a href="/position/1134/">Posizione RTT - Università degli Studi di Trieste</a> (deadline: Mon 20 July 2026)</p>
<p><a href="/position/1130/">PhD position in Calculus of Variations at JLU Gießen (Germany)</a> (deadline: Tue 21 July 2026)</p>
<p><a href="/position/1135/">Postdoc Position in Turin - FIS Project "GEMS" (Contratto di Ricerca)</a> (deadline: Tue 21 July 2026)</p>
<p><a href="/position/1131/">PostDoc positions in the project “A New Geometry for Einstein’s Theory of Relativity and Beyond” at University of Vienna</a> (deadline: Sun 26 July 2026)</p>
<p><a href="/position/1132/">PhD positions in the project “A New Geometry for Einstein’s Theory of Relativity and Beyond” at University of Vienna</a> (deadline: Sun 26 July 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><a href="/position/1124/">PhD Positions in the International Research Training Group "Analysis of Nonlinear PDE"</a> (deadline: Fri 31 July 2026)</p>
<p><b>(new)</b> <a href="/position/1136/">Tenure-track at the University of Florence</a> (deadline: Thu 6 August 2026)</p>
<p><a href="/position/1133/">PhD position at ETHZ</a> (deadline: Tue 1 September 2026)</p>
<p><b>(new)</b> <a href="/position/1137/">Assistant / Associate / Full Professor at Imperial College London</a> (deadline: Sun 20 September 2026)</p>
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