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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/711/'>Antonelli</a></p>
<p><b>New papers by:</b> <a href='/person/27/' >Cavalletti</a>, <a href='/person/165/' >Rossi</a>, <a href='/person/1830/' >Friedrich</a>, <a href='/person/2184/' >Saracco</a>, <a href='/person/234/' >Le Donne</a>, <a href='/person/2482/' >Lučić</a>, <a >Young</a>, <a href='/person/151/' >Pratelli</a>, <a href='/person/965/' >Mondino</a>, <a >Züst</a>, <a href='/person/2719/' >Semola</a>, <a href='/person/1642/' >Crismale</a>, <a href='/person/2207/' >Pasqualetto</a></p>
<p><b>Modified papers by:</b> <a href='/person/1/'>Tortorelli</a>, <a >Georgiev</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/2285/'>Kholmatov</a>, <a >Kryzhevich</a>, <a href='/person/1554/'>Piovano</a>, <a >Piontek</a>, <a href='/person/117/'>Paolini</a>, <a href='/person/150/'>Franzina</a>, <a href='/person/26/'>Stepanov</a>, <a href='/person/638/'>Schmidt</a></p>
<h2>Seminars next week</h2>
<h3>Wed 23 October 2019</h3><ul>
<li><p>
Gioacchino Antonelli: <b><a href='/seminar/711/'>Some results on codimension one rectifiability for subsets in Carnot groups</a></b><br />
Sala Seminari (Dipartimento di Matematica di Pisa), 17:00<br /> </p>
<div style="font-size: smaller;"><p>At the beginning of the seminar, we introduce the setting of Carnot groups and, in this realm, we discuss the link between different notions of rectifiability: the general one for metric spaces by H.Federer and the ones proposed in the specific case of Carnot groups by Pauls and Franchi-Serapioni-Serra Cassano. We focus mainly on the rectifiability for sets of codimension 1 and present some known results that higlight the relationship between those notions.
</p>
<p>In the second part of the seminar we construct a smooth non-characteristic hypersurface in a Carnot group of topological dimension 8 that is purely Pauls' unrectifiable. This shows that even very regular objects of codimension 1 that for sure are rectifiable according to the definition of Franchi-Serapioni-Serra Cassano are not so according to Pauls' definition. Finally we discuss how to prove that such an example does not exist in the Heisenberg group $\mathbb H^n$, with $n\geq 2$. That is to say, every smooth hypersurface in $\mathbb H^n$, with $n\geq 2$, is Pauls' rectifiable, even with bi-Lipschitz maps.
</p>
<p>This is a joint work with E. Le Donne.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Le Donne, Züst:</b> <a href='/paper/4493/'>Space of signatures as inverse limits of Carnot groups</a></p>
<p><b> Le Donne, Young:</b> <a href='/paper/4494/'>Carnot rectifiability of sub-Riemannian manifolds with constant tangent</a></p>
<p><b> Pratelli, Saracco:</b> <a href='/paper/4495/'>The $\varepsilon-\varepsilon^\beta$ property in the isoperimetric problem with double density, and the regularity of isoperimetric sets</a></p>
<p><b> Crismale, Rossi:</b> <a href='/paper/4496/'>Balanced Viscosity solutions to a rate-independent coupled elasto-plastic damage system</a></p>
<p><b> Le Donne, Lučić, Pasqualetto:</b> <a href='/paper/4497/'>Universal infinitesimal Hilbertianity of sub-Riemannian manifolds</a></p>
<p><b> Crismale, Friedrich:</b> <a href='/paper/4498/'>Equilibrium configurations for epitaxially strained films and material
voids in three-dimensional linear elasticity</a></p>
<p><b> Cavalletti, Mondino, Semola:</b> <a href='/paper/4499/'>Quantitative Obata's Theorem</a></p>
<h2>Modified Papers</h2>
<p><b> Paolini, Stepanov:</b> <a href='/paper/1162/'>Decomposition of acyclic normal currents in a metric space</a></p>
<p><b> Georgiev, Stepanov:</b> <a href='/paper/2016/'>Metric cycles, curves and solenoids</a></p>
<p><b> Kryzhevich, Stepanov:</b> <a href='/paper/3703/'>The saga of a fish: from a survival guide to closing lemmas</a></p>
<p><b> Paolini, Tortorelli:</b> <a href='/paper/4089/'>The quadruple planar bubble enclosing equal areas is symmetric</a></p>
<p><b> Kholmatov, Piovano:</b> <a href='/paper/4228/'>A unified model for stress-driven rearrangement instabilities</a></p>
<p><b> Brasco, Franzina:</b> <a href='/paper/4324/'>An overview on constrained critical points of Dirichlet integrals</a></p>
<p><b> Piontek, Schmidt:</b> <a href='/paper/4492/'>Higher integrability for the gradient of Mumford-Shah almost-minimizers</a></p>
<h2>Open Positions</h2>
<p><a href="/position/427/">Two-year postdoctoral position in analysis at EPFL Lausanne</a> (deadline: Fri 1 November 2019)</p>
<p><a href="/position/428/">Tenure-Track Assistant Professor of Mathematics at EPFL Lausanne</a> (deadline: Fri 1 November 2019)</p>
<p><b>(new)</b> <a href="/position/440/">Post-doc position (assegno di ricerca) at University of Naples "Federico II" (12 months)</a> (deadline: Thu 28 November 2019)</p>
<p><a href="/position/437/">Assistant Professor or higher, Department of Applied Mathematics, University of Waterloo, Canada</a> (deadline: Sun 1 December 2019)</p>
<p><a href="/position/435/">Postdoctoral Researcher at Okinawa Institute of Science and Technology under Prof. Daniel Spector</a> (deadline: Sun 15 December 2019)</p>
<p><b>(new)</b> <a href="/position/439/">4-year PhD student in Probability and Analysis in Eindhoven</a> (deadline: Sun 15 December 2019)</p>
<p><b>(new)</b> <a href="/position/438/">Two-year postdoctoral position in geometric analysis at University of Paris</a> (deadline: Sat 18 January 2020)</p>
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