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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/630/'>Carlotto</a>, <a href='/seminar/632/'>Morandotti</a></p>
<p><b>New papers by:</b> <a >Álvarez-Caudevilla</a>, <a href='/person/164/' >Mazzieri</a>, <a >Bonforte</a>, <a >Bonnivard</a>, <a href='/person/168/' >Lussardi</a>, <a href='/person/1820/' >Jevnikar</a>, <a href='/person/107/' >Marzocchi</a>, <a >Yang</a>, <a >Vazquez</a>, <a >Chambolle</a>, <a href='/person/2642/' >Borghini</a>, <a href='/person/245/' >Focardi</a>, <a >Bevilacqua</a>, <a href='/person/151/' >Pratelli</a>, <a >Bartolucci</a>, <a >Lee</a>, <a href='/person/2184/' >Saracco</a>, <a >Spadaro</a>, <a >Villa</a>, <a href='/person/186/' >Figalli</a>, <a href='/person/250/' >Lemenant</a></p>
<p><b>Modified papers by:</b> <a href='/person/263/'>Mantegazza</a>, <a >Benedetti</a>, <a >Castillon</a>, <a href='/person/150/'>Franzina</a>, <a href='/person/1304/'>Mészáros</a>, <a >Thomas</a>, <a >Mooney</a>, <a href='/person/37/'>Toader</a>, <a href='/person/175/'>Lorent</a>, <a href='/person/186/'>Figalli</a>, <a >Peng</a>, <a >Kim</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/1217/'>Scilla</a>, <a href='/person/973/'>Ruffini</a>, <a >Bousquet</a>, <a >Leone</a>, <a href='/person/165/'>Rossi</a>, <a href='/person/96/'>Lazzaroni</a>, <a href='/person/227/'>Verde</a>, <a href='/person/239/'>Maggi</a>, <a href='/person/120/'>Solombrino</a></p>
<h2>Seminars next week</h2>
<h3>Tue 17 April 2018</h3><ul>
<li><p>
Alessandro Carlotto: <b><a href='/seminar/630/'>Notions of complexity for minimal subvarieties</a></b><br />
Aula Magna, Dipartimento di Matematica, Pisa, 15:00<br /> </p>
<div style="font-size: smaller;"><p>The recent, remarkable advances in the construction of minimal hypersurfaces in general ambient manifolds, either via min-max methods in the spirit of Almgren-Pitts as developed by Marques and Neves, or studying the interfaces arising as suitable singular limits of solutions to the Allen-Cahn equations as proposed by Guaraco, suggest an incredibly rich scenario and have inspired an impressive body of research directions, related to the problems of classifying minimal hypersurfaces under various sorts of ambient curvature conditions, studying their moduli spaces and the associated Weyl's laws, proving generic finiteness results and topological uniqueness theorems among others.
</p>
<p>After a broad-spectrum introduction, I will outline a general project aimed at comparing different ways of quantifying the "complexity" of a minimal subvariety: I will present universal comparison results relating analytic data (like the Morse index, the value of the p-th eigenvalue of the Jacobi operator etc...), geometric data (the area, the Yamabe invariant etc...) and topological invariants (like e. g. the Betti numbers). We shall be concerned about the interactions between these different pieces of information and investigate whether these measures of complexity are equivalent in some suitable sense.
For instance, I will discuss the state of the art about Schoen's conjecture asserting that the Morse index of any (closed, embedded) minimal surface inside a 3-manifold of positive Ricci curvature should be bounded from below by an affine function of the genus (with universal coefficients) and, on the other hand, mention partial results for the conjecture by A. Ros classifying the possible topological types of index one minimal surfaces inside 3-manifolds of positive scalar curvature.
</p>
<p>Analogous results have also been obtained for free boundary minimal hypersurfaces inside Riemannian domains.
</p>
<p>This lecture is based on various results that have been obtained in collaboration with Lucas Ambrozio, Reto Buzano and Benjamin Sharp.</p>
</div> </li>
</ul>
<h3>Wed 18 April 2018</h3><ul>
<li><p>
Marco Morandotti (Technische Universität München): <b><a href='/seminar/632/'>Structured deformations of continua: theory and applications</a></b><br />
Sala Seminari Dipartimento di Matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>Structured deformations provide a multiscale geometry that captures the contributions at the microlevel of both smooth geometrical changes and disarrangements at submicroscopic levels. Due to this versatility, they turn out to be a powerful tool to describe the deformations of bodies in a variety of settings.
In this seminar, I will present the basic theory of structured deformations, alongside with some applications.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Borghini, Mazzieri:</b> <a href='/paper/3837/'>Monotonicity formulas for static metrics with non-zero cosmological
constant</a></p>
<p><b> Borghini, Mazzieri:</b> <a href='/paper/3838/'>On the mass of static metrics with positive cosmological constant - I</a></p>
<p><b> Borghini, Mazzieri:</b> <a href='/paper/3839/'>On the mass of static metrics with positive cosmological constant - II</a></p>
<p><b> Bevilacqua, Lussardi, Marzocchi:</b> <a href='/paper/3840/'>Soap film spanning electrically repulsive elastic protein links</a></p>
<p><b> Chambolle, Lussardi, Villa:</b> <a href='/paper/3841/'>Anisotropic tubular neighborhoods in euclidean spaces</a></p>
<p><b> Pratelli, Saracco:</b> <a href='/paper/3842/'>On the isoperimetric problem with double density</a></p>
<p><b> Bonforte, Figalli, Vazquez:</b> <a href='/paper/3843/'>Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations</a></p>
<p><b> Bartolucci, Jevnikar, Lee, Yang:</b> <a href='/paper/3844/'>Local uniqueness of $m$-bubbling sequences for the Gel'fand equation</a></p>
<p><b> Álvarez-Caudevilla, Bonnivard, Lemenant:</b> <a href='/paper/3845/'>Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials</a></p>
<p><b> Focardi, Spadaro:</b> <a href='/paper/3846/'>How a minimal surface leaves a thin obstacle</a></p>
<h2>Modified Papers</h2>
<p><b> Lazzaroni, Rossi, Thomas, Toader:</b> <a href='/paper/2535/'>Rate-independent damage in thermo-viscoelastic materials with inertia</a></p>
<p><b> Figalli, Maggi, Mooney:</b> <a href='/paper/2905/'>The sharp quantitative Euclidean concentration inequality</a></p>
<p><b> Castillon, Ruffini:</b> <a href='/paper/3214/'>A spectral characterization of geodesic balls in non-compact rank one symmetric spaces</a></p>
<p><b> Brasco, Franzina, Ruffini:</b> <a href='/paper/3397/'>Schrödinger operators with negative potentials and Lane-Emden densities</a></p>
<p><b> Bousquet, Brasco, Leone, Verde:</b> <a href='/paper/3402/'>On the Lipschitz character of orthotropic $p-$harmonic functions</a></p>
<p><b> Benedetti, Mantegazza:</b> <a href='/paper/3415/'>La congettura di Poincaré e il flusso di Ricci</a></p>
<p><b> Kim, Mészáros:</b> <a href='/paper/3429/'>On nonlinear cross-diffusion systems: an optimal transport approach</a></p>
<p><b> Scilla, Solombrino:</b> <a href='/paper/3568/'>Delayed loss of stability in singularly perturbed finite-dimensional gradient flows</a></p>
<p><b> Lorent, Peng:</b> <a href='/paper/3733/'>Null Lagrangian Measures in planes, compensated compactness and conservation laws</a></p>
<h2>Open Positions</h2>
<p><a href="/position/322/">Visiting Assistant Professorships in Cincinnati</a> (deadline: Mon 16 April 2018)</p>
<p><a href="/position/323/">2 SISSA Mathematical Fellowships</a> (deadline: Mon 23 April 2018)</p>
<p><a href="/position/325/">Lecturer at the University of Würzburg, Germany</a> (deadline: Thu 26 April 2018)</p>
<p><a href="/position/324/">2-year Postdoc with X. Ros-Oton (U Zurich)</a> (deadline: Mon 30 April 2018)</p>
<p><b>(new)</b> <a href="/position/326/">PhD positions in Trento</a> (deadline: Wed 16 May 2018)</p>
<p><a href="/position/298/">11 PhD Positions, Graduate School IntComSin, Regensburg-Erlangen</a> (deadline: Sun 1 July 2018)</p>
<p><a href="/position/304/">FAU Erlangen - 11 Doctorate Positions - Interfaces, Complex Structures and Singular Limits in Continuum Mechanics</a> (deadline: Sun 1 July 2018)</p>
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