<!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/678/'>Buttazzo</a>, <a href='/seminar/680/'>Mondello</a></p>
<p><b>New papers by:</b> <a href='/person/3072/' >Di Donato</a>, <a href='/person/226/' >Gigli</a>, <a >Debin</a>, <a href='/person/13/' >Miranda Jr</a>, <a href='/person/245/' >Focardi</a>, <a >Spadaro</a>, <a href='/person/2521/' >Mayer</a>, <a href='/person/3225/' >Addona</a>, <a >Menegatti</a>, <a href='/person/2207/' >Pasqualetto</a></p>
<p><b>Modified papers by:</b> <a href='/person/1830/'>Friedrich</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/103/'>Cagnetti</a>, <a href='/person/2059/'>Kreutz</a>, <a href='/person/204/'>Dal Maso</a>, <a href='/person/112/'>Zeppieri</a>, <a href='/person/2353/'>Nguyen</a>, <a >Pellet</a>, <a href='/person/62/'>Scardia</a>, <a href='/person/2687/'>Bruè</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/530/'>Workshop on Calculus of Variations</a></b><br />
Tue 19 March 2019 - Wed 20 March 2019<br />
University of Sussex, Brighton<br /></p></li>
<li><p>
<b><a href='/event/498/'>New Trends in Geometric Measure Theory</a></b><br />
Fri 22 March 2019 - Sun 24 March 2019<br />
University of Hawaii Manoa<br /></p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Wed 20 March 2019</h3><ul>
<li><p>
Giuseppe Buttazzo (Dip. Mat. Univ. Pisa): <b><a href='/seminar/678/'>Optimal transport between mutually singular measures</a></b><br />
Sala Seminari (Dipartimento di Matematica di Pisa), 17:00<br /> </p>
<div style="font-size: smaller;"><p>We study the Wasserstein distance between two measures $\mu,\nu$ which are mutually singular. In particular, we are interested in minimization problems of the form
$$W(\mu,{\cal A})=\inf\big\{W(\mu,\nu)\ :\ \nu\in{\cal A}\big\}$$
where $\mu$ is a given probability and ${\cal A}$ is contained in the class $\mu^\perp$ of probabilities that are singular with respect to $\mu$. Several cases for ${\cal A}$ are considered; in particular, when ${\cal A}$ consists of $L^1$ densities bounded by a constant, the optimal solution is given by the characteristic function of a domain. Some regularity properties of these optimal domains are also studied. Some numerical simulations are included, as well as the double minimization problem
$$\min\big\{P(B)+kW(A,B)\ :\ <br>A\cap B<br>=0,\ <br>A<br>=<br>B<br>=1\big\},$$
where $k>0$ is a fixed constant, $P(A)$ is the perimeter of $A$, and both sets $A,B$ may vary.</p>
</div> </li>
</ul>
<h3>Thu 21 March 2019</h3><ul>
<li><p>
Gabriele Mondello: <b><a href='/seminar/680/'>On moduli spaces of spherical surfaces with conical points</a></b><br />
Scuola Normale Superiore, Aula Fermi, 16:00<br /> </p>
<div style="font-size: smaller;"><p>Metrics of positive curvature with conical singularities on surfaces behave quite differently than flat or hyperbolic ones.
In particular, existence and uniqueness of spherical (i.e. K=1) metrics in a given conformal class is not granted.
The aim of the talk is to address a number of features of the moduli spaces of spherical metrics on compact oriented surfaces with conical singularities of prescribed angles.
Among the global properties, we discuss non-emptiness and we show that such moduli spaces can have an arbitrarily large number of connected components.
Furthermore, we show that no spherical metric in a given conformal class exists if one angle is too small.
Such result relies on an explicit systole inequality which relates metric invariants (spherical systole) and conformal invariants (extremal systole) of spherical surfaces, and that can be of independent interest.
This is joint work with Dmitri Panov.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Di Donato:</b> <a href='/paper/4253/'>Intrinsic Lipschitz graphs in Carnot groups of step 2</a></p>
<p><b> Addona, Menegatti, Miranda Jr:</b> <a href='/paper/4254/'>Characterization of BV functions on open domains: the Gaussian case and the general case</a></p>
<p><b> Mayer:</b> <a href='/paper/4255/'>None compactness versus critical points at infinity: an example</a></p>
<p><b> Debin, Gigli, Pasqualetto:</b> <a href='/paper/4256/'>Quasi-continuous vector fields on $\sf RCD$ spaces</a></p>
<p><b> Focardi, Spadaro:</b> <a href='/paper/4257/'>The local structure of the free boundary in the fractional obstacle problem</a></p>
<h2>Modified Papers</h2>
<p><b> Cagnetti, Dal Maso, Scardia, Zeppieri:</b> <a href='/paper/3708/'>Stochastic Homogenisation of Free-Discontinuity Problems</a></p>
<p><b> Brasco:</b> <a href='/paper/3891/'>On principal frequencies and isoperimetric ratios in convex sets</a></p>
<p><b> Pellet, Scardia, Zeppieri:</b> <a href='/paper/3924/'>Homogenization of high-contrast Mumford-Shah energies</a></p>
<p><b> Bruè, Nguyen:</b> <a href='/paper/3938/'>On the Sobolev space of functions with derivative of logarithmic order</a></p>
<p><b> Kreutz, Friedrich:</b> <a href='/paper/4244/'>Finite crystallization and wulff shape emergence for ionic compounds in the square lattice</a></p>
<h2>Open Positions</h2>
<p><a href="/position/395/">Fully funded EPSRC PhD (Bristol Engineering)</a> (deadline: Fri 15 March 2019)</p>
<p><b>(new)</b> <a href="/position/399/">Junior Research Fellows, University of Pisa</a> (deadline: Mon 18 March 2019)</p>
<p><a href="/position/394/">Optimal control and long-term dynamics for mathematical models of tumor growth and 3D printing</a> (deadline: Wed 20 March 2019)</p>
<p><a href="/position/396/">Professor position in mathematical physics in Heidelberg</a> (deadline: Thu 28 March 2019)</p>
<p><a href="/position/286/">21 PhD fellowships in Paris 2019/20 - Fondation Science Mathémathiques Paris</a> (deadline: Mon 1 April 2019)</p>
<p><a href="/position/397/">5-9 Postdoc Positions in Jyväskylä</a> (deadline: Mon 1 April 2019)</p>
<p><b>(new)</b> <a href="/position/398/">PhD Position at the University of Sussex</a> (deadline: Fri 31 May 2019)</p>
</body>
</html>