<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
<html>
<head>
<meta http-equiv="Content-type" content="text/html;charset=UTF-8">
<title>cvgmt: Weekly Bulletin</title>
<base href='http://cvgmt.sns.it/'>
<link rel='stylesheet' type='text/css' href='/static/style/fm.css'>
<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.6.1/jquery.min.js" type="text/javascript"></script>
<script type="text/javascript">
var _gaq = _gaq || [];
_gaq.push(['_setAccount', 'UA-19705267-4']);
_gaq.push(['_trackPageview']);
(function() {
var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true;
ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js';
var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s);
})();
</script>
<!-- mathjax -->
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}
});
</script>
<script type="text/javascript"
src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
</head>
<body>
<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/782/'>Speight</a>, <a href='/seminar/783/'>Fragalà</a>, <a href='/seminar/785/'>Velichkov</a>, <a href='/seminar/784/'>Mazzoleni</a></p>
<p><b>New papers by:</b> <a >Schiebinger</a>, <a >Schultz</a>, <a >Idu</a>, <a href='/person/2318/' >Lavenant</a>, <a href='/person/148/' >Iurlano</a>, <a >Westdickenberg</a>, <a >Dolbeault</a>, <a >Nazaret</a>, <a href='/person/2207/' >Pasqualetto</a>, <a href='/person/3619/' >Kubin</a>, <a >Mielke</a>, <a href='/person/2353/' >Nguyen</a>, <a >Gangbo</a>, <a href='/person/566/' >Babadjian</a>, <a href='/person/55/' >Fiorenza</a>, <a >Slastikov</a>, <a href='/person/1982/' >Rindler</a>, <a href='/person/3136/' >Di Fratta</a>, <a href='/person/65/' >Savaré</a>, <a >Liero</a>, <a href='/person/199/' >Ponsiglione</a>, <a href='/person/1099/' >De Luca</a>, <a href='/person/3279/' >Maiale</a>, <a href='/person/213/' >Fragalà</a>, <a >Toscani</a>, <a >Alazard</a>, <a >Brenier</a>, <a href='/person/105/' >Bucur</a>, <a >Kim</a>, <a >Zhang</a></p>
<p><b>Modified papers by:</b> <a href='/person/1217/'>Scilla</a>, <a href='/person/226/'>Gigli</a>, <a href='/person/3043/'>Santarcangelo</a>, <a >Milman</a>, <a href='/person/3334/'>King</a>, <a >McCann</a>, <a href='/person/1642/'>Crismale</a>, <a >Akdemir</a>, <a href='/person/3502/'>Bulanyi</a>, <a href='/person/239/'>Maggi</a>, <a href='/person/2353/'>Nguyen</a>, <a >Colinet</a>, <a href='/person/566/'>Babadjian</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/1668/'>Stuvard</a>, <a href='/person/250/'>Lemenant</a>, <a href='/person/27/'>Cavalletti</a>, <a href='/person/2687/'>Bruè</a></p>
<h2>Seminars next week</h2>
<h3>Tue 2 March 2021</h3><ul>
<li><p>
Write to Andrea.pinamonti@unitn.it or to Andrea.marchese@unitn.it to get the link.<br /> Gareth Speight (University of Cincinnati): <b><a href='/seminar/782/'>Whitney Extension and Lusin Approximation in Carnot Group</a></b><br />
Zoom seminar, 14:30<br /> </p>
<div style="font-size: smaller;"><p>The classical Lusin theorem states that any measurable function can be approximated by a continuous function except on a set of small measure. Analogous results for higher smoothness give conditions under which a function can be approximated by a C<sup>m</sup> function up to a set of small measure. Proving these results depends on applying a suitable Whitney extension theorem. After recalling the classical results in Euclidean spaces, we discuss recent work extending some of these results to Carnot groups. Based on joint work with Andrea Pinamonti and Marco Capolli.</p>
</div> </li>
</ul>
<h3>Wed 3 March 2021</h3><ul>
<li><p>
Ilaria Fragalà (Dip. Mat. Pol. Milano): <b><a href='/seminar/783/'>Rigidity for measurable sets</a></b><br />
Dipartimento di Matematica di Pisa (online), 17:00<br /> </p>
<div style="font-size: smaller;"><p>We discuss the rigidity of measurable subsets in the Euclidean space such that the Lebesgue measure of their intersection with a ball of radius r, centred at any point in the essential boundary, is constant. Based on a joint work with Dorin Bucur.</p>
</div> </li>
</ul>
<h3>Thu 4 March 2021</h3><ul>
<li><p>
Bozhidar Velichkov (Università di Pisa): <b><a href='/seminar/785/'>Vectorial free boundary problems</a></b><br />
WADE (Webinar in Analysis and Differential Equations)--Rome time, 15:00<br /> </p>
<div style="font-size: smaller;"><p>The vectorial Bernoulli problem is a variational free boundary problem involving the Dirichlet energy of a vector-valued function and the measure of its support. It is the vectorial counterpart of the classical one-phase Bernoulli problem, which was first studied by Alt and Caffarelli in 1981.
</p>
<p>In this talk, we will discuss some results on the regularity of the vectorial free boundaries obtained in the last years by Caffarelli-Shahgholian-Yeressian, Kriventsov-Lin, Mazzoleni-Terracini-V., and Spolaor-V.. Finally, we will present some new results on the rectifiability of the singular set obtained in collaboration with Guido De Philippis, Max Engelstein and Luca Spolaor.</p>
</div> </li>
<li><p>
Password=lisbonwade<br /> Dario Mazzoleni (Università di Pavia): <b><a href='/seminar/784/'>Regularity of the optimal sets for the second Dirichlet eigenvalue</a></b><br />
Lisbon WADE (Rome time), 16:00<br /> </p>
<div style="font-size: smaller;"><p>The main topic of the talk is the regularity of the optimal sets for a ``degenerate'' functional, namely the second Dirichlet eigenvalue in a box.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Lavenant, Zhang, Kim, Schiebinger:</b> <a href='/paper/5036/'>Towards a mathematical theory of trajectory inference</a></p>
<p><b> Idu, Maiale:</b> <a href='/paper/5037/'>$C^{1,α}$-rectifiability in low codimension in Heisenberg groups</a></p>
<p><b> Di Fratta, Fiorenza, Slastikov:</b> <a href='/paper/5038/'>On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces</a></p>
<p><b> Alazard, Nguyen:</b> <a href='/paper/5039/'>On the Cauchy problem for the Muskat equation. II: Critical initial data</a></p>
<p><b> Babadjian, Iurlano, Rindler:</b> <a href='/paper/5040/'>Shape optimization of light structures and the vanishing mass conjecture</a></p>
<p><b> Pasqualetto, Schultz:</b> <a href='/paper/5041/'>Ultralimits of pointed metric measure spaces</a></p>
<p><b> Savaré:</b> <a href='/paper/5042/'>Sobolev spaces in extended metric-measure spaces</a></p>
<p><b> Liero, Mielke, Savaré:</b> <a href='/paper/5043/'>Optimal transport in competition with reaction: the
Hellinger-Kantorovich distance and geodesic curves</a></p>
<p><b> Liero, Mielke, Savaré:</b> <a href='/paper/5044/'>Optimal Entropy-Transport problems and a new Hellinger-Kantorovich
distance between positive measures</a></p>
<p><b> Savaré:</b> <a href='/paper/5045/'>Self-improvement of the Bakry-Émery condition and Wasserstein
contraction of the heat flow in RCD(K,\infty) metric measure spaces</a></p>
<p><b> Savaré, Toscani:</b> <a href='/paper/5046/'>The concavity of Rènyi entropy power</a></p>
<p><b> Brenier, Gangbo, Savaré, Westdickenberg:</b> <a href='/paper/5047/'>Sticky particle dynamics with interactions</a></p>
<p><b> Dolbeault, Nazaret, Savaré:</b> <a href='/paper/5048/'>A new class of transport distances</a></p>
<p><b> Bucur, Fragalà:</b> <a href='/paper/5049/'>Rigidity for measurable sets</a></p>
<p><b> De Luca, Kubin, Ponsiglione:</b> <a href='/paper/5050/'>Convergence of supercritical fractional flows to the mean curvature flow</a></p>
<h2>Modified Papers</h2>
<p><b> Cavalletti, Milman:</b> <a href='/paper/3275/'>The Globalization Theorem for the Curvature Dimension Condition</a></p>
<p><b> Cavalletti, Santarcangelo:</b> <a href='/paper/4084/'>Isoperimetric inequality under Measure-Contraction property</a></p>
<p><b> Bulanyi, Lemenant:</b> <a href='/paper/4523/'>Regularity for the planar optimal $p$-compliance problem</a></p>
<p><b> Babadjian, Crismale:</b> <a href='/paper/4541/'>Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity</a></p>
<p><b> King, Maggi, Stuvard:</b> <a href='/paper/4580/'>Collapsing and the convex hull property in a soap film capillarity model</a></p>
<p><b> Bruè, Nguyen:</b> <a href='/paper/4611/'>Advection diffusion equations with Sobolev velocity field</a></p>
<p><b> Cavalletti, Gigli, Santarcangelo:</b> <a href='/paper/4656/'>Displacement convexity of Entropy and the distance cost Optimal Transportation</a></p>
<p><b> Scilla, Solombrino:</b> <a href='/paper/4732/'>Non-local approximation of the Griffith functional</a></p>
<p><b> Akdemir, Cavalletti, Colinet, McCann, Santarcangelo:</b> <a href='/paper/4763/'>Independence of synthetic Curvature Dimension conditions on transport distance exponent</a></p>
<h2>Open Positions</h2>
<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/553/">Visiting Assistant Professor, Department of Mathematical Sciences, University of Cincinnati</a> (deadline: Tue 2 March 2021)</p>
<p><a href="/position/552/">Post-doc at the University of Firenze</a> (deadline: Tue 30 March 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>
</body>
</html>