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<h1>cvgmt weekly bulletin</h1>
<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/793/'>Rindler</a>, <a href='/seminar/791/'>Chiadò Piat</a></p>
<p><b>New papers by:</b> <a href='/person/2340/' >La Manna</a>, <a href='/person/3688/' >Bresciani</a>, <a href='/person/3848/' >Lamberti</a>, <a href='/person/112/' >Zeppieri</a>, <a href='/person/2808/' >Carbotti</a>, <a >Kruzik</a>, <a href='/person/245/' >Focardi</a>, <a href='/person/2998/' >Cito</a>, <a href='/person/183/' >Cicalese</a>, <a href='/person/184/' >Davoli</a>, <a href='/person/157/' >Pallara</a></p>
<p><b>Modified papers by:</b> <a href='/person/2575/'>Pozzetta</a>, <a href='/person/1810/'>Nardini</a>, <a href='/person/22/'>De Philippis</a>, <a href='/person/151/'>Pratelli</a>, <a href='/person/3738/'>Le</a>, <a href='/person/166/'>Morini</a>, <a href='/person/3371/'>Topaloglu</a>, <a href='/person/3628/'>Rossi</a>, <a href='/person/47/'>Bellettini</a>, <a >Misiats</a>, <a >Alama</a>, <a >Bronsard</a>, <a href='/person/3129/'>Elshorbagy</a>, <a href='/person/189/'>Orlandi</a>, <a href='/person/2880/'>Merlo</a>, <a href='/person/2883/'>Antonelli</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/2250/'>Bonafini</a>, <a href='/person/1227/'>Rizzi</a>, <a href='/person/973/'>Ruffini</a>, <a href='/person/3153/'>Zuniga</a>, <a href='/person/217/'>Fusco</a>, <a href='/person/2906/'>Riva</a>, <a href='/person/235/'>Bonacini</a>, <a href='/person/1394/'>Cristoferi</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/1400/'>Scala</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/631/'>Lecture Series "Slicing and fine properties of $BV^{\mathcal A}$ functions"</a></b><br />
Wed 7 April 2021 - Wed 21 April 2021<br />
</p></li>
<li><p>
<b><a href='/event/626/'>Online Poster Session "Young Researchers in PDE and Geometric Analysis"</a></b><br />
Thu 8 April 2021 - Thu 8 April 2021<br />
Online<br /></p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Wed 7 April 2021</h3><ul>
<li><p>
Filip Rindler (University of Warwick): <b><a href='/seminar/793/'>Shape optimization of light structures and the vanishing mass conjecture</a></b><br />
Dipartimento di Matematica di Pisa online, 17:00<br /> </p>
<div style="font-size: smaller;"><p>It is a classical problem in the theory of shape optimization to find a shape with minimal (linear) elastic compliance (or, equivalently, maximal stiffness) for a given amount of mass and prescribed external forces. It is an intriguing question with a long history, going back to Michell's seminal 1904 work on trusses, to determine what happens in the limit of vanishing mass. Contrary to all previous results, which utilize a soft mass constraint by introducing a Lagrange multiplier, we here consider the hard mass constraint. Our results establish the convergence of approximately optimal shapes of (exact) size tending to zero to a limit generalized shape represented by a (possibly diffuse) probability measure. This limit generalized shape is a minimizer of the limit compliance, which involves a new integrand, namely the one conjectured by Bouchitte in 2001 and predicted heuristically before in works of Allaire-Kohn (80's) and Kohn-Strang (90's). This integrand gives the energy of the limit generalized shape understood as a fine oscillation of (optimal) lower-dimensional structures. Its appearance is surprising since the integrand in the original compliance is just a quadratic form and the non-convexity of the problem is not immediately obvious. I will also present connections to the theory of Michell trusses and show how our results can be interpreted as a rigorous justification of that theory on the level of functionals in both two and three dimensions. This is joint work with J.F. Babadjian (Paris-Saclay) and F. Iurlano (Paris-Sorbonne).</p>
</div> </li>
</ul>
<h3>Thu 8 April 2021</h3><ul>
<li><p>
Password: lisbonwade<br /> Valeria Chiadò Piat (Pol. Torino): <b><a href='/seminar/791/'>An extension theorem from connected sets and homogenization of non-local functionals</a></b><br />
WADE (Webinar in Analysis and Differential Equations), 15:00<br /> </p>
<div style="font-size: smaller;"><p>Extensions operators are a classical tool to provide uniform estimates and gain compactness in the homogenization of integral functionals over perforated domains. In this talk we discuss the case of non-local functionals. The results are obtained in collaboration with Andrea Braides and Lorenza D'Elia.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Bresciani, Davoli, Kruzik:</b> <a href='/paper/5067/'>Existence results in large-strain magnetoelasticity with asymmetric exchange energy</a></p>
<p><b> Carbotti, Cito, La Manna, Pallara:</b> <a href='/paper/5068/'>Gamma-convergence of Gaussian fractional perimeter</a></p>
<p><b> Lamberti:</b> <a href='/paper/5069/'>A regularity result for minimal configurations of a free interface problem</a></p>
<p><b> Cicalese, Focardi, Zeppieri:</b> <a href='/paper/5070/'>Phase-field approximation of functionals defined on piecewise-rigid maps</a></p>
<h2>Modified Papers</h2>
<p><b> Brasco, De Philippis, Ruffini:</b> <a href='/paper/1694/'>Spectral optimization for the Stekloff--Laplacian: the stability issue</a></p>
<p><b> Riva, Nardini:</b> <a href='/paper/3947/'>Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping</a></p>
<p><b> Misiats, Topaloglu:</b> <a href='/paper/4555/'>On minimizers of an anisotropic liquid drop model</a></p>
<p><b> Bonacini, Cristoferi, Topaloglu:</b> <a href='/paper/4651/'>Minimality of polytopes in a nonlocal anisotropic isoperimetric problem</a></p>
<p><b> Rizzi, Rossi:</b> <a href='/paper/4659/'>Heat content asymptotics for sub-Riemannian manifolds</a></p>
<p><b> Antonelli, Merlo:</b> <a href='/paper/4696/'>Intrinsically Lipschitz functions with normal targets in Carnot groups</a></p>
<p><b> Alama, Bronsard, Topaloglu, Zuniga:</b> <a href='/paper/4725/'>A nonlocal isoperimetric problem with density perimeter</a></p>
<p><b> Novaga, Pratelli:</b> <a href='/paper/4733/'>Minimisers of a general Riesz-type problem</a></p>
<p><b> Bonafini, Le, Novaga, Orlandi:</b> <a href='/paper/4867/'>On the obstacle problem for fractional semilinear wave equations</a></p>
<p><b> Pozzetta:</b> <a href='/paper/4987/'>Willmore-type Energies of Curves and Surfaces</a></p>
<p><b> Fusco, Morini:</b> <a href='/paper/5054/'>Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains</a></p>
<p><b> Bellettini, Elshorbagy, Scala:</b> <a href='/paper/5055/'>The $L^1$-relaxed area of the graph of the vortex map</a></p>
<p><b> Bonacini, Cristoferi, Topaloglu:</b> <a href='/paper/5058/'>Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals</a></p>
<h2>Open Positions</h2>
<p><a href="/position/558/">Assistant Professor in Mathematics at Heriot-Watt University (Edinburgh)</a> (deadline: Mon 12 April 2021)</p>
<p><a href="/position/559/">Research RTDB position in Geometry at the University of l'Aquila</a> (deadline: Thu 15 April 2021)</p>
<p><b>(new)</b> <a href="/position/562/">3 Posizioni di Ricercatore TD Tipo B - Mat/05 - Dipartimento di Matematica dell'Univ. di Napoli Federico II</a> (deadline: Thu 29 April 2021)</p>
<p><a href="/position/560/">Call for expression of interest in positions (Tenure Track, Associate Professor, Full Professor) at the Mathematics Department (University of Pisa)</a> (deadline: Fri 30 April 2021)</p>
<p><a href="/position/557/">PhD position in spectral theory of differential operators, Oldenburg</a> (deadline: Fri 7 May 2021)</p>
<p><a href="/position/561/">4 PhD Positions at Radboud University</a> (deadline: Fri 7 May 2021)</p>
<p><a href="/position/551/">Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China</a> (deadline: Fri 11 February 2022)</p>
<p><a href="/position/469/">Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China</a> (deadline: Fri 11 February 2022)</p>
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