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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/527/'>Yang</a>, <a href='/seminar/528/'>Cheng</a>, <a href='/seminar/530/'>Gioffrè</a>, <a href='/seminar/525/'>De Pascale </a>, <a href='/seminar/526/'>Ambrozio</a></p>
<p><b>New papers by:</b> <a href='/person/261/' >Lu</a>, <a href='/person/232/' >Alberti</a>, <a >Baer</a>, <a >Mazzucato</a>, <a href='/person/184/' >Davoli</a>, <a href='/person/57/' >Crippa</a>, <a href='/person/186/' >Figalli</a></p>
<p><b>Modified papers by:</b> <a href='/person/132/'>Fonseca</a>, <a href='/person/141/'>Pinamonti</a>, <a >Martelli</a>, <a >Riolo</a>, <a href='/person/1326/'>Speight</a>, <a href='/person/24/'>Palatucci</a>, <a >Kuusi</a>, <a href='/person/1826/'>Pluda</a>, <a href='/person/1573/'>Maggiani</a>, <a >Korvenpaa</a>, <a href='/person/174/'>Mora</a>, <a >Scheven</a>, <a href='/person/62/'>Scardia</a>, <a href='/person/962/'>Nayam</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/973/'>Ruffini</a>, <a href='/person/184/'>Davoli</a>, <a href='/person/106/'>Brancolini</a>, <a >Wirth</a>, <a href='/person/1142/'>Peletier</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/638/'>Schmidt</a></p>
<h2>Seminars next week</h2>
<h3>Tue 10 May 2016</h3><ul>
<li><p>
Paul Yang: <b><a href='/seminar/527/'>Fourth order pde in conformal and CR geometry</a></b><br />
Scuola Normale Superiore, Aula Tonelli, 14:00<br /> </li>
<li><p>
Jih-Hsin Cheng: <b><a href='/seminar/528/'>A local index theorem for CR manifolds with $S^1$ action</a></b><br />
Scuola Normale Superiore, Aula Tonelli, 15:00<br /> </p>
<div style="font-size: smaller;"><p>Among those transversally elliptic operators initiated by Atiyah and Singer, Kohn's $\Box_b$ operator on CR manifolds with $S^1$ action is a natural one of geometric significance for complex analysts. Our main result computes a local index density, in terms of \emph{tangential} characteristic forms, on such manifolds including \emph{Sasakian manifolds} of interest in String Theory. As applications of our CR index theorem we can prove a CR version of Grauert-Riemenschneider criterion, and produce many CR functions on a weakly pseudoconvex CR manifold with transversal $S^1$ action and many CR sections on some class of CR manifolds, answering some long-standing questions raised by Kohn and Henkin respectively. Moreover in some cases, we can reinterpret Kawasaki's Hirzebruch-Riemann-Roch formula for a complex orbifold with an orbifold holomorphic line bundle as an index theorem obtained by an integral over a smooth CR manifold which is essentially the circle bundle of this line bundle. This is joint work with Chin-Yu Hsiao and I-Hsun Tsai</p>
</div> </li>
</ul>
<h3>Wed 11 May 2016</h3><ul>
<li><p>
Stefano Gioffrè: <b><a href='/seminar/530/'>Limits equations arising in the vacuum Einstein constraint equations using the conformal method</a></b><br />
sala seminari, dipartimento di matematica di Pisa, 15:30<br /> </p>
<div style="font-size: smaller;"><p>In this seminar, we deal with the Einstein problem in general relativity,
treating in particular the vacuum case. Using a trick developed by
Choquet-Bruhat and Lichnerowicz - the well known "conformal method" - one
can write the vacuum Einstein equations as a couple of differential
equations, called constraint equations: a Yamabe-like scalar equation with
a nonlinearity term, and a vector equation coupled to the first. In an
article written in 2011 by Gicquaud, Humbert, Dahl it is proven a theorem
which states that either the constraint equations admit solutions or
another differential equation, a limit one admits a non-trivial solution.
Our aim is to present this problem, explain the main ideas and present an
attempt to prove non-existence theorems for the limit equations based on a
fine analysis of the proof made article.</p>
</div> </li>
<li><p>
Luigi De Pascale : <b><a href='/seminar/525/'>Progressi recenti sul trasporto multimarginale con costo Coulombiano, applicazioni e problemi aperti.</a></b><br />
Sala Seminari Dipartimento di Matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>Presenterò alcuni risultati recenti sulle proprietà dei piani di trasporto minimizzanti e dei potenziali di Kantorovich per il problema di trasporto ottimo multimarginale con costo di Coulomb. Poi, discuterò alcune applicazioni alla continuità del costo e alla DFT.</p>
</div> </li>
</ul>
<h3>Thu 12 May 2016</h3><ul>
<li><p>
Lucas Ambrozio: <b><a href='/seminar/526/'>Morse index and Betti numbers of minimal hypersurfaces</a></b><br />
Scuola Normale Superiore, Aula Fermi, 11:00<br /> </p>
<div style="font-size: smaller;"><p>As critical points of the area functional, minimal hypersurfaces of Riemannian manifolds have a well-defined Morse index. In many situations, the knowledge of the index can be used to derive conclusions about the geometry and topology of the hypersurface itself. In this talk, we will show that under certain conditions on the ambient manifold, the index of its minimal hypersurfaces grows linearly with their first Betti numbers. The hypothesis on the ambient manifold are flexible enough to include all compact symmetric spaces of rank one and small graphical perturbations of the round sphere, for example. This is a joint work with A. Carlotto and B. Sharp.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Davoli, Lu:</b> <a href='/paper/3029/'>Analytical validation of a 2+1 dimensional continuum model for epitaxial growth with elastic substrate</a></p>
<p><b> Baer, Figalli:</b> <a href='/paper/3030/'>Characterization of isoperimetric sets inside almost-convex cones</a></p>
<p><b> Alberti, Crippa, Mazzucato:</b> <a href='/paper/3031/'>Exponential self-similar mixing by incompressible flows</a></p>
<h2>Modified Papers</h2>
<p><b> Nayam:</b> <a href='/paper/2136/'>Constant in two-dimensional p-compliance-network problem</a></p>
<p><b> Mora, Peletier, Scardia:</b> <a href='/paper/2520/'>Convergence of interaction-driven evolutions of dislocations with Wasserstein dissipation and slip-plane confinement</a></p>
<p><b> Davoli, Fonseca:</b> <a href='/paper/2650/'>Homogenization of integral energies under periodically oscillating differential constraints</a></p>
<p><b> Brasco, Ruffini:</b> <a href='/paper/2700/'>Compact Sobolev embeddings and torsion functions</a></p>
<p><b> Pinamonti, Speight:</b> <a href='/paper/2710/'>A Measure Zero Universal Differentiability Set in the Heisenberg Group</a></p>
<p><b> Brancolini, Wirth:</b> <a href='/paper/2796/'>Equivalent formulations for the branched transport and urban planning problems</a></p>
<p><b> Maggiani, Mora:</b> <a href='/paper/2802/'>A dynamic evolution model for perfectly plastic plates</a></p>
<p><b> Scheven, Schmidt:</b> <a href='/paper/2830/'>BV supersolutions to equations of 1-Laplace and minimal surface type</a></p>
<p><b> Martelli, Novaga, Pluda, Riolo:</b> <a href='/paper/2836/'>Spines of minimal length</a></p>
<p><b> Korvenpaa, Kuusi, Palatucci:</b> <a href='/paper/3027/'>Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations</a></p>
<h2>Open Positions</h2>
<p><a href="/position/179/">Lecturer in Mathematics at the University of Sussex</a> (deadline: Tue 17 May 2016)</p>
<p><a href="/position/180/">Lecturer in Statistics and Probability at the University of Sussex</a> (deadline: Tue 17 May 2016)</p>
<p><a href="/position/181/">Senior Lecturer/Reader in Statistics and Probability at the University of Sussex</a> (deadline: Tue 17 May 2016)</p>
<p><a href="/position/178/">PhD studentship on Numerical methods for higher-order nonlinear partial differential equations</a> (deadline: Thu 1 September 2016)</p>
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