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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/772/'>Fogagnolo</a>, <a href='/seminar/771/'>Pasqualetto</a></p>
<p><b>New papers by:</b> <a href='/person/1217/' >Scilla</a>, <a href='/person/2371/' >Campbell</a>, <a href='/person/2217/' >Marconi</a>, <a >Spinolo</a>, <a href='/person/1836/' >Radici</a>, <a href='/person/2701/' >Glaudo</a>, <a >Goodrich</a>, <a >Kauranen</a>, <a href='/person/1526/' >Ros-Oton</a>, <a href='/person/151/' >Pratelli</a>, <a href='/person/1176/' >Cinti</a>, <a href='/person/57/' >Crippa</a>, <a >Serra</a>, <a href='/person/59/' >Colombo</a>, <a href='/person/188/' >Stroffolini</a></p>
<p><b>Modified papers by:</b> <a href='/person/1668/'>Stuvard</a>, <a >Chambolle</a>, <a >Runa</a>, <a href='/person/2575/'>Pozzetta</a>, <a href='/person/151/'>Pratelli</a>, <a href='/person/1949/'>Comi</a>, <a href='/person/2906/'>Riva</a>, <a >Calzi</a>, <a >Gallagher</a>, <a href='/person/1830/'>Friedrich</a>, <a >Bahouri</a>, <a >Gidoni</a>, <a href='/person/1836/'>Radici</a>, <a >Tonegawa</a>, <a href='/person/3128/'>Goffi</a>, <a href='/person/1084/'>Barilari</a>, <a href='/person/3261/'>Maione</a>, <a href='/person/2371/'>Campbell</a>, <a href='/person/198/'>Brasco</a>, <a >Salort</a>, <a >Gómez-Castro</a>, <a href='/person/2260/'>Stefani</a>, <a href='/person/217/'>Fusco</a>, <a >Vazquez</a>, <a >Vecchi</a>, <a href='/person/3178/'>Perugini</a>, <a >Fagioli</a>, <a href='/person/242/'>Daneri</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/3412/'>Santilli</a>, <a href='/person/2687/'>Bruè</a></p>
<h2>Seminars next week</h2>
<h3>Tue 2 February 2021</h3><ul>
<li><p>
Anyone interested to attend the seminar has to send an email to Andrea.pinamonti@unitn.it or to Andrea.marchese@unitn.it.<br /> Mattia Fogagnolo: <b><a href='/seminar/772/'>The isoperimetric problem on manifolds with nonnegative Ricci curvature: geometric inequalities and asymptotic Gromov-Hausdorff analysis</a></b><br />
Zoom Seminar, 14:30<br /> </p>
<div style="font-size: smaller;"><p>In this talk we discuss two basic tools in order to deal with the isoperimetric problem on manifolds with nonnegative Ricci curvature, namely the sharp isoperimetric inequality and the asymptotic behaviour of the minimizing sequences on these manifolds. The first implies that the sharp isoperimetric constant is given by the Asymptotic Volume Ratio of the manifold and that it is saturated only on balls of the Euclidean space. For what it concerns the latter, we show that the runaway volume is recovered in nonsmooth spaces arising as pointed Gromov-Hausdorff limits.
Examples of Riemannian manifolds enjoying existence and nonexistence of isoperimetric sets will be provided too.
The results are based on joint works with G.Antonelli, L. Mazzieri and M. Pozzetta.</p>
</div> </li>
</ul>
<h3>Wed 3 February 2021</h3><ul>
<li><p>
Enrico Pasqualetto (Scuola Normale Superiore): <b><a href='/seminar/771/'>Indecomposable sets of finite perimeter in metric measure spaces</a></b><br />
Dipartimento di Matematica (online), 17:00<br /> </p>
<div style="font-size: smaller;"><p>Aim of this talk is to revisit the theory of indecomposable sets of finite perimeter in the setting of isotropic PI spaces. By a PI space we mean a metric measure space that is doubling and supports a weak Poincaré inequality, while isotropicity is a property concerning the Hausdorff-type representation of the perimeter measure.
Under these assumptions, we prove a decomposition theorem for sets of finite perimeter into essential connected components and we characterise the extreme points in the space of BV functions. For the decomposition result, we provide two different proofs: via a variational argument, adapted from <a href='Ambrosio-Caselles-Masnou-Morel'01'>Ambrosio-Caselles-Masnou-Morel'01</a>, and via Lyapunov Convexity Theorem, inspired by <a href='Dolzmann-Müller'95'>Dolzmann-Müller'95</a>. The result about extreme points generalises a classical theorem by <a href='Fleming'60'>Fleming'60</a>.
Based on a joint work with Paolo Bonicatto (University of Warwick) and Tapio Rajala (University of Jyväskylä).</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Cinti, Glaudo, Pratelli, Ros-Oton, Serra:</b> <a href='/paper/5003/'>Sharp quantitative stability for isoperimetric inequalities with homogeneous weights</a></p>
<p><b> Campbell, Kauranen, Radici:</b> <a href='/paper/5004/'>Classification of Strict limits of planar BV homeomorphisms</a></p>
<p><b> Goodrich, Scilla, Stroffolini:</b> <a href='/paper/5005/'>Partial Hölder continuity for minimizers of discontinuous quasiconvex integrals with VMO coefficients and general growth</a></p>
<p><b> Colombo, Crippa, Marconi, Spinolo:</b> <a href='/paper/5006/'>Local limit of nonlocal traffic models: convergence results and total variation blow-up</a></p>
<h2>Modified Papers</h2>
<p><b> Pozzetta:</b> <a href='/paper/4242/'>A varifold perspective on the $p$-elastic energy of planar sets</a></p>
<p><b> Fusco, Pratelli:</b> <a href='/paper/4473/'>Sharp stability for the Riesz potential</a></p>
<p><b> Comi, Stefani:</b> <a href='/paper/4507/'>A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I</a></p>
<p><b> Bahouri, Barilari, Gallagher:</b> <a href='/paper/4516/'>Strichartz estimates and Fourier restriction theorems on the Heisenberg group</a></p>
<p><b> Stuvard, Tonegawa:</b> <a href='/paper/4535/'>An existence theorem for Brakke flow with fixed boundary conditions</a></p>
<p><b> Friedrich, Perugini, Solombrino:</b> <a href='/paper/4582/'>Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD$</a></p>
<p><b> Chambolle, Novaga:</b> <a href='/paper/4620/'>Anisotropic and crystalline mean curvature flow of mean-convex sets</a></p>
<p><b> Fagioli, Radici:</b> <a href='/paper/4639/'>Opinion formation system via deterministic particle approximation</a></p>
<p><b> Campbell, Pratelli, Radici:</b> <a href='/paper/4640/'>Comparison between non-crossing and non-crossing on lines properties</a></p>
<p><b> Brasco, Gómez-Castro, Vazquez:</b> <a href='/paper/4743/'>Characterisation of homogeneous fractional Sobolev spaces</a></p>
<p><b> Gidoni, Riva:</b> <a href='/paper/4751/'>A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers</a></p>
<p><b> Santilli:</b> <a href='/paper/4757/'>Distance functions with dense singular sets</a></p>
<p><b> Bruè, Calzi, Comi, Stefani:</b> <a href='/paper/4874/'>A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics II</a></p>
<p><b> Daneri, Radici, Runa:</b> <a href='/paper/4938/'>Deterministic particle approximation of aggregation-diffusion equations on unbounded domains</a></p>
<p><b> Maione, Salort, Vecchi:</b> <a href='/paper/4950/'>Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces</a></p>
<p><b> Maione:</b> <a href='/paper/4951/'>Variational convergences for functionals and differential operators depending on vector fields</a></p>
<p><b> Goffi:</b> <a href='/paper/4977/'>Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations</a></p>
<h2>Open Positions</h2>
<p><a href="/position/541/">4 Postdoc and 12 PhD positions in the research group "Symplectic structures in geometry, algebra and dynamics"</a> (deadline: Sun 31 January 2021)</p>
<p><a href="/position/533/">Postdoc in varie aree - Trento</a> (deadline: Mon 1 February 2021)</p>
<p><a href="/position/548/">Research contract in Lisbon</a> (deadline: Thu 11 February 2021)</p>
<p><a href="/position/469/">Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China</a> (deadline: Thu 11 February 2021)</p>
<p><a href="/position/536/">MathInParis2020 - Doctoral Training in Mathematical Sciences in Paris</a> (deadline: Sat 13 February 2021)</p>
<p><b>(new)</b> <a href="/position/550/">4 PhD positions in Vienna</a> (deadline: Mon 22 February 2021)</p>
<p><a href="/position/546/">2-years postdoc position in Analysis at TU Munich</a> (deadline: Sun 28 February 2021)</p>
<p><a href="/position/547/">PhD student position at University of Groningen</a> (deadline: Sun 28 February 2021)</p>
<p><a href="/position/549/">Postdoctoral position at WWU Münster (Germany)</a> (deadline: Mon 15 March 2021)</p>
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