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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/608/'>Bellettini</a>, <a href='/seminar/610/'>Pluda</a>, <a href='/seminar/611/'>Menzel</a></p>
<p><b>New papers by:</b> <a href='/person/213/' >Fragalà</a>, <a href='/person/1259/' >Trevisan</a>, <a href='/person/260/' >Goldman</a>, <a href='/person/1285/' >Mascellani</a>, <a >Millot</a>, <a href='/person/26/' >Stepanov</a>, <a href='/person/239/' >Maggi</a>, <a href='/person/164/' >Mazzieri</a>, <a href='/person/168/' >Lussardi</a>, <a >Merlet</a>, <a href='/person/52/' >Bouchitté</a>, <a href='/person/185/' >Mucci</a>, <a href='/person/186/' >Figalli</a>, <a href='/person/1084/' >Barilari</a>, <a >Boscain</a>, <a href='/person/65/' >Savaré</a>, <a >Schikorra</a>, <a href='/person/198/' >Brasco</a>, <a >Borghini</a>, <a href='/person/2645/' >Fleißner</a>, <a >Bevilacqua</a>, <a >Delgadino</a>, <a >Vazquez</a>, <a href='/person/1767/' >Lucardesi</a>, <a href='/person/107/' >Marzocchi</a>, <a >Agrachev</a>, <a >Bonforte</a>, <a >Lindgren</a></p>
<p><b>Modified papers by:</b> <a >Henrot</a>, <a >Moradifam</a>, <a href='/person/228/'>Magnani</a>, <a href='/person/1285/'>Mascellani</a>, <a >Uraltsev</a>, <a href='/person/263/'>Mantegazza</a>, <a href='/person/1820/'>Jevnikar</a>, <a href='/person/1259/'>Trevisan</a>, <a href='/person/44/'>Braides</a>, <a href='/person/142/'>Agostiniani</a>, <a href='/person/1767/'>Lucardesi</a>, <a href='/person/2059/'>Kreutz</a>, <a href='/person/1394/'>Cristoferi</a>, <a >Gui</a>, <a href='/person/85/'>Gelli</a>, <a href='/person/183/'>Cicalese</a>, <a href='/person/26/'>Stepanov</a>, <a >Philippin</a>, <a href='/person/1692/'>Ruf</a>, <a href='/person/165/'>Rossi</a></p>
<h2>Seminars next week</h2>
<h3>Fri 24 November 2017</h3><ul>
<li><p>
NOTE THE CHANGE OF TIME!!!<br /> Costante Bellettini: <b><a href='/seminar/608/'>Stable constant-mean-curvature hypersurfaces: regularity and compactness.</a></b><br />
Scuola Normale Superiore, Aula Tonelli, 15:00<br /> </p>
<div style="font-size: smaller;"><p>This talk describes a recent joint work of the speaker with Neshan Wickramasekera (Cambridge). The work develops a regularity theory, with an associated compactness theorem, for weakly defined hypersurfaces (codimension 1 integral varifolds) of a smooth Riemannian manifold that are stationary and stable on their regular parts for volume preserving ambient deformations. The main regularity theorem gives two structural conditions on such a hypersurface that imply that, away from a set of codimension 7 or higher, the hypersurface is locally either a single smoothly embedded disk or precisely two smoothly embedded disks intersecting tangentially. Easy examples show that neither structural hypothesis can be relaxed. An important special case is when the varifold corresponds to the boundary of a Caccioppoli set, in which case the structural conditions can be considerably weakened.</p>
</div> </li>
</ul>
<h3>Wed 29 November 2017</h3><ul>
<li><p>
Alessandra Pluda (Universität Regensburg): <b><a href='/seminar/610/'>Minimal Elastic Networks</a></b><br />
Sala Seminari Dipartimento di Matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>In this talk we will consider planar networks of three curves minimizing a
combination of the elastic energy and the length functional. We will prove
existence and regularity of minimizers
and we will show some properties of the minimal configurations.
In addition to the presentation of the results that are obtained in
collaboration with Anna Dall'Acqua and Matteo Novaga,
we will give a partial review of the theory of elasticae and discuss about
the onset of new phenomena passing from the problem for curves to the one
for networks.</p>
</div> </li>
<li><p>
Julia Menzel: <b><a href='/seminar/611/'>Willmore Flow of Networks</a></b><br />
Sala Seminari Dipartimento di Matematica di Pisa, 18:00<br /> </p>
<div style="font-size: smaller;"><p>We consider networks of curves in the plane moving according to the
$L^2$-gradient flow of a variant of the elastic energy. In this talk we
will prove short time existence in the case of networks composed by three
curves that are required to meet in one or two triple junctions. As a
variation of the result we additionally impose that they form an angle of
120 degrees at the triple junction(s).
If time allows we will give some outlook on our expectations concerning
the long time behaviour based on numerical work by John Barrett, Harald
Garcke and Robert Nürnberg.
The presented result is joint work with Harald Garcke and Alessandra Pluda.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Brasco, Lindgren, Schikorra:</b> <a href='/paper/3662/'>Higher Holder regularity for the fractional $p-$Laplacian in the superquadratic case</a></p>
<p><b> Borghini, Mascellani, Mazzieri:</b> <a href='/paper/3663/'>Some Sphere Theorems in Linear Potential Theory</a></p>
<p><b> Agrachev, Barilari, Boscain:</b> <a href='/paper/3664/'>Introduction to Riemannian and Sub-Riemannian geometry</a></p>
<p><b> Mucci:</b> <a href='/paper/3665/'>On the curvature energy of Cartesian surfaces</a></p>
<p><b> Bouchitté, Fragalà, Lucardesi:</b> <a href='/paper/3666/'>Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source</a></p>
<p><b> Fleißner, Savaré:</b> <a href='/paper/3667/'>Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi</a></p>
<p><b> Bevilacqua, Lussardi, Marzocchi:</b> <a href='/paper/3668/'>Soap film spanning an elastic link</a></p>
<p><b> Goldman, Merlet, Millot:</b> <a href='/paper/3669/'>A Ginzburg-Landau model with topologically induced free discontinuities</a></p>
<p><b> Delgadino, Maggi:</b> <a href='/paper/3670/'>Alexandrov theorem revisited</a></p>
<p><b> Trevisan, Stepanov:</b> <a href='/paper/3671/'>Towards geometric integration of rough differential forms</a></p>
<p><b> Fleißner:</b> <a href='/paper/3672/'>Minimal solutions to generalized $\Lambda$-semiflows and gradient flows in metric spaces</a></p>
<p><b> Bonforte, Figalli, Vazquez:</b> <a href='/paper/3673/'>Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains</a></p>
<h2>Modified Papers</h2>
<p><b> Mantegazza, Mascellani, Uraltsev:</b> <a href='/paper/2113/'>On the Distributional Hessian of the Distance Function</a></p>
<p><b> Cristoferi:</b> <a href='/paper/2841/'>On periodic critical points and local minimizers of the Ohta-Kawasaki functional</a></p>
<p><b> Magnani, Stepanov, Trevisan:</b> <a href='/paper/3218/'>A rough calculus approach to level sets in the Heisenberg group</a></p>
<p><b> Agostiniani, Rossi:</b> <a href='/paper/3241/'>Singular vanishing-viscosity limits of gradient flows: the finite-dimensional case</a></p>
<p><b> Braides, Cicalese, Ruf:</b> <a href='/paper/3261/'>Continuum limit and stochastic homogenization of discrete ferromagnetic thin films</a></p>
<p><b> Gui, Jevnikar, Moradifam:</b> <a href='/paper/3299/'>Symmetry and uniqueness of solutions to some Liouville-type equations and systems</a></p>
<p><b> Henrot, Lucardesi, Philippin:</b> <a href='/paper/3325/'>On two functionals involving the maximum of the torsion function</a></p>
<p><b> Braides, Kreutz:</b> <a href='/paper/3357/'>An integral-representation result for continuum limits of discrete energies with multi-body interactions</a></p>
<p><b> Braides, Gelli:</b> <a href='/paper/3368/'>Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems</a></p>
<h2>Open Positions</h2>
<p><a href="/position/276/">Lecturer/Senior Lecturer/Reader in Mathematics School of Mathematics, University of Bristol UK</a> (deadline: Mon 27 November 2017)</p>
<p><a href="/position/282/">Tenure-track position (RTD-B) at the University of Verona</a> (deadline: Thu 30 November 2017)</p>
<p><a href="/position/277/">Postdoctoral Positions in the Max Planck Research Group "Rigidity and Flexibility in PDEs"</a> (deadline: Fri 1 December 2017)</p>
<p><a href="/position/278/">PhD Position in the Max Planck Research Group "Rigidity and Flexibility in PDEs"</a> (deadline: Fri 1 December 2017)</p>
<p><a href="/position/283/">Research Scientist P3</a> (deadline: Fri 1 December 2017)</p>
<p><a href="/position/280/">Chairs in Mathematics and Statistical Science School of Mathematics, University of Bristol UK</a> (deadline: Mon 4 December 2017)</p>
<p><b>(new)</b> <a href="/position/285/">Assistant/Associate professorships in Mathematics at Warwick</a> (deadline: Tue 12 December 2017)</p>
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