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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/875/'>Rindler</a></p>
<p><b>New papers by:</b> <a >Kauranen</a>, <a href='/person/2371/' >Campbell</a>, <a href='/person/3365/' >De Nitti</a>, <a href='/person/168/' >Lussardi</a>, <a href='/person/107/' >Marzocchi</a>, <a >Djitte</a>, <a href='/person/1836/' >Radici</a>, <a href='/person/204/' >Dal Maso</a>, <a >Taranets</a>, <a href='/person/12/' >Bardi</a>, <a >Kouhkouh</a>, <a href='/person/2646/' >Bevilacqua</a>, <a href='/person/4538/' >Donati</a></p>
<p><b>Modified papers by:</b> <a href='/person/2371/'>Campbell</a>, <a >Kauranen</a>, <a href='/person/3619/'>Kubin</a>, <a href='/person/2476/'>Tribuzio</a>, <a href='/person/1836/'>Radici</a>, <a href='/person/12/'>Bardi</a>, <a href='/person/4142/'>De Gennaro</a>, <a href='/person/2480/'>Ruland</a>, <a href='/person/4141/'>Kubin</a>, <a >Kouhkouh</a>, <a href='/person/4368/'>Piccinini</a>, <a >Manfredini</a>, <a href='/person/3128/'>Goffi</a>, <a href='/person/24/'>Palatucci</a>, <a >Polidoro</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/742/'>(MGT)^2: Milan-Grenoble-Turin Meeting in Geometry and Topology</a></b><br />
Wed 18 January 2023 - Fri 20 January 2023<br />
Institut Fourier, Grenoble<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Wed 18 January 2023</h3><ul>
<li><p>
Agenda: Get-together (30 min), presentation Costante Bellettini (60 min), questions and discussions (30 min).
Registration required for new participants. Please go to our seminar website (allow one work day for processing).<br />
Filip Rindler (University of Warwick): <b><a href='/seminar/875/'>Singularities, Rectifiability, and PDE-constraints</a></b><br />
, 14:00<br />
</p>
<div style="font-size: smaller;"><p>Surprisingly many different problems of Analysis naturally lead to questions about singularities in (vector) measures. These problems come from both "pure" Analysis, such as the question for which measures Rademacher's theorem on the differentiability of Lipschitz functions holds, and its non-Euclidean analogues, as well as from "applied" Analysis, for example the problem to determine the fine structure of slip lines in elasto-plasticity. It is a remarkable fact that many of the (vector) measures that naturally occur in these questions satisfy an (under-determined) PDE constraint, e.g., divergence- or curl-freeness. The crucial task is then to analyse the fine properties of these PDE-constrained measures, in particular to determine the possible singularities that may occur. It turns out that the PDE constraint imposes strong restrictions on the shape of these singularities, for instance that they can only occur on a set of bounded Hausdorff-dimension, or even that the measure is $k$-rectifiable where its upper $k$-density is positive. The essential difficulty in the analysis of PDE-constrained measures is that many standard methods from harmonic analysis are much weaker in an $L^1$-context and thus new strategies are needed. In this talk, I will survey recent and ongoing work on this area of research.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> De Nitti, Djitte:</b> <a href='/paper/5867/'>Fractional Hardy-Rellich inequalities via a Pohozaev identity</a></p>
<p><b> Campbell, Kauranen, Radici:</b> <a href='/paper/5868/'>Classification of area-strict limits of planar BV homeomorphisms</a></p>
<p><b> Campbell, Kauranen, Radici:</b> <a href='/paper/5869/'>Minimal Extension for the $α$-Manhattan norm</a></p>
<p><b> Dal Maso, Donati:</b> <a href='/paper/5871/'>Some remarks on the convergence of solutions to elliptic equations under weak hypotheses on the data</a></p>
<p><b> Bevilacqua, Lussardi, Marzocchi:</b> <a href='/paper/5872/'>Geometric invariants of non-smooth framed curves</a></p>
<p><b> De Nitti, Taranets:</b> <a href='/paper/5873/'>Interface propagation properties for a fractional thin-film equation</a></p>
<p><b> Bardi, Kouhkouh:</b> <a href='/paper/5874/'>Deep Relaxation of Controlled Stochastic Gradient Descent via Singular
Perturbations</a></p>
<p><b> Bardi, Kouhkouh:</b> <a href='/paper/5875/'>Singular perturbations in stochastic optimal control with unbounded data</a></p>
<h2>Modified Papers</h2>
<p><b> Campbell, Kauranen, Radici:</b> <a href='/paper/5004/'>Classification of strict limits of planar BV homeomorphisms</a></p>
<p><b> Ruland, Tribuzio:</b> <a href='/paper/5099/'>On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square</a></p>
<p><b> Bardi, Goffi:</b> <a href='/paper/5271/'>Liouville results for fully nonlinear equations modeled on Hörmander
vector fields: II. Carnot groups and Grushin geometries</a></p>
<p><b> De Gennaro, Kubin:</b> <a href='/paper/5418/'>Long Time Behaviour of the Discrete Volume Preserving Mean Curvature Flow in the Flat Torus</a></p>
<p><b> De Gennaro, Kubin, Kubin:</b> <a href='/paper/5514/'>Asymptotic of the Discrete Volume-Preserving Fractional Mean Curvature Flow via a Nonlocal Quantitative Alexandrov Theorem</a></p>
<p><b> Ruland, Tribuzio:</b> <a href='/paper/5597/'>On Scaling Laws for Multi-Well Nucleation Problems without Gauge Invariances</a></p>
<p><b> Bardi, Kouhkouh:</b> <a href='/paper/5662/'>An Eikonal equation with vanishing Lagrangian arising in Global Optimization</a></p>
<p><b> Palatucci, Piccinini:</b> <a href='/paper/5663/'>Nonlocal Harnack inequalities in the Heisenberg group</a></p>
<p><b> Manfredini, Palatucci, Piccinini, Polidoro:</b> <a href='/paper/5667/'>Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group</a></p>
<h2>Open Positions</h2>
<p><a href="/position/726/">Associate Professor at Univ. Padova</a> (deadline: Thu 19 January 2023)</p>
<p><a href="/position/724/">Research Fellow in Geometric Analysis in Leeds</a> (deadline: Fri 20 January 2023)</p>
<p><b>(new)</b> <a href="/position/735/">Postdoc position in MAT-05 at the University of L'Aquila</a> (deadline: Sat 21 January 2023)</p>
<p><a href="/position/721/">Postdoc in optimal transport and gradient flows</a> (deadline: Sun 22 January 2023)</p>
<p><a href="/position/720/">PhD scholarships at Heriot-Watt and the Maxwell Institute (Edinburgh)</a> (deadline: Mon 23 January 2023)</p>
<p><a href="/position/727/">2 Posizioni di Ricercatore TD Tipo A - Mat/05 - Dipartimento di Matematica dell'Univ. di Napoli Federico II</a> (deadline: Mon 30 January 2023)</p>
<p><a href="/position/729/">Associate Professor in Analysis at University of Pisa</a> (deadline: Mon 30 January 2023)</p>
<p><b>(new)</b> <a href="/position/737/">Postdoc position in PDE in Barcelona, X. Ros-Oton</a> (deadline: Mon 30 January 2023)</p>
<p><a href="/position/723/">Short-term Scholarships Mathematics Münster</a> (deadline: Tue 31 January 2023)</p>
<p><b>(new)</b> <a href="/position/736/">fixed-term researcher, INF/01, Scuola Normale Superiore</a> (deadline: Fri 17 February 2023)</p>
<p><a href="/position/731/">Assistant Professor in Mathematical Sciences at the University of Cincinnati</a> (deadline: Mon 20 February 2023)</p>
<p><a href="/position/722/">Postdoc position (assegno di ricerca) at DMIF, University of Udine</a> (deadline: Fri 24 February 2023)</p>
<p><b>(new)</b> <a href="/position/734/">4 Postdoctoral Positions at the Scuola Superiore Meridionale - Napoli</a> (deadline: Sat 25 February 2023)</p>
<p><a href="/position/730/">Postdoc position at UCLouvain, Belgium</a> (deadline: Tue 28 February 2023)</p>
<p><b>(new)</b> <a href="/position/733/">3 Positions (PhD/PostDoc) at the University of Augsburg starting April 2023</a> (deadline: Tue 28 February 2023)</p>
<p><a href="/position/708/">Master students scholarships in Western France, with a view towards a PhD</a> (deadline: Wed 1 March 2023)</p>
<p><a href="/position/732/">Call for expressions of interest in positions in Lisbon</a> (deadline: Fri 31 March 2023)</p>
<p><a href="/position/597/">Research project on Optimal Transportation</a> (deadline: Sun 30 April 2023)</p>
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