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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/766/'>Lučić</a>, <a href='/seminar/764/'>Babadjian</a>, <a href='/seminar/765/'>Caroccia</a></p>
<p><b>New papers by:</b> <a >Bernstein</a>, <a href='/person/2054/' >Hakavuori</a>, <a href='/person/137/' >Greco</a>, <a href='/person/2061/' >Mari</a>, <a >Zecca</a>, <a href='/person/151/' >Pratelli</a>, <a href='/person/26/' >Stepanov</a>, <a href='/person/2587/' >Tripaldi</a>, <a href='/person/2462/' >Rigoni</a>, <a href='/person/2719/' >Semola</a>, <a href='/person/3745/' >Wang</a>, <a >Gang</a>, <a >Allen</a>, <a >Hernandez-Vazquez</a>, <a >Parise</a>, <a >Payne</a>, <a >Mramor</a>, <a >Wang</a>, <a >Alberto Giulio Setti</a>, <a >Leandro Freitas Pessoa</a>, <a >Moisala</a>, <a >Kivioja</a>, <a href='/person/59/' >Colombo</a>, <a >Rigoli</a>, <a >Carron</a>, <a >Naber</a>, <a href='/person/262/' >Buttazzo</a>, <a href='/person/974/' >Farroni</a>, <a href='/person/3412/' >Santilli</a>, <a href='/person/2145/' >Tewodrose</a>, <a href='/person/1767/' >Lucardesi</a>, <a href='/person/1259/' >Trevisan</a>, <a href='/person/236/' >Moscariello</a>, <a href='/person/2669/' >Tione</a>, <a >Henrot</a>, <a href='/person/2687/' >Bruè</a>, <a >Nguyen</a></p>
<p><b>Modified papers by:</b> <a href='/person/256/'>Vittone</a>, <a href='/person/1152/'>Di Marino</a>, <a href='/person/3/'>Ambrosio</a>, <a href='/person/132/'>Fonseca</a>, <a >Chambolle</a>, <a >Ottazzi</a>, <a href='/person/2353/'>Nguyen</a>, <a href='/person/168/'>Lussardi</a>, <a >Moisala</a>, <a href='/person/1969/'>Boarotto</a>, <a href='/person/184/'>Davoli</a>, <a href='/person/1859/'>Stra</a>, <a href='/person/2249/'>Minne</a>, <a >Villa</a>, <a href='/person/2145/'>Tewodrose</a>, <a href='/person/866/'>Massaccesi</a>, <a >Honda</a>, <a href='/person/2661/'>Don</a>, <a href='/person/234/'>Le Donne</a>, <a href='/person/254/'>Leonardi</a>, <a href='/person/127/'>Monti</a>, <a href='/person/1534/'>Liu</a>, <a href='/person/2687/'>Bruè</a></p>
<h2>Seminars next week</h2>
<h3>Wed 25 November 2020</h3><ul>
<li><p>
In order to join the seminar, please fill in the [mandatory participation form|https://forms.gle/owiZHxjH2V9cUyqJ8] before November 24th. Further information and instructions will be sent afterwards to the online audience.<br /> Danka Lučić (Università di Pisa): <b><a href='/seminar/766/'>Sobolev calculus on weighted Euclidean spaces</a></b><br />
Dipartimento di Matematica (online), 17:00<br /> </p>
<div style="font-size: smaller;"><p>The study of the Sobolev space over weighted Euclidean spaces
(i.e. equipped with an arbitrary Radon measure) has been initiated in
the late nineties, motivated by various applications in the field of the
Calculus of Variations. Two important approaches were introduced by
Bouchitté-Buttazzo-Seppecher and Zhikov, both relying upon a notion of
'Sobolev tangent bundle'. In this talk, we will prove the equivalence
of these two theories, by employing a third notion of Sobolev space
due to Ambrosio-Gigli-Savaré, which comes from the more general setting
of analysis on metric measure spaces. Moreover, we will investigate
the relation between the above-mentioned 'Sobolev tangent bundle' and
the 'Lipschitz tangent bundle' introduced by Alberti-Marchese. Finally,
we will provide necessary and sufficient conditions for the Sobolev-Lipschitz
tangent bundles to have full rank.</p>
</div> </li>
</ul>
<h3>Thu 26 November 2020</h3><ul>
<li><p>
Jean-François Babadjian: <b><a href='/seminar/764/'>Concentration versus oscillation effects in brittle damage</a></b><br />
WADE (Webinar in Analysis and Differential Equations), 14:30<br /> </p>
<div style="font-size: smaller;"><p>This talk is concerned with the asymptotic analysis of a variational model of brittle damage, when the damaged zone concentrates into a set of zero Lebesgue measure, and, at the same time, the stiffness of the damaged material becomes arbitrarily small. In a particular non-trivial regime, concentration leads to a limit energy with linear growth as typically encountered in perfect plasticity. While the singular part of the limit energy can be easily described, the identification of the bulk part of the limit energy requires a subtler analysis of the interplay between concentration and oscillation properties of the displacements. This is a joint work with F. Iurlano and F. Rindler.</p>
</div> </li>
<li><p>
Marco Caroccia (Università degli studi di Roma Tor Vergata - Dipartimento di Matematica): <b><a href='/seminar/765/'>Contact surface of Cheeger sets</a></b><br />
WADE (Webinar in Analysis and Differential Equations), 15:30<br /> </p>
<div style="font-size: smaller;"><p>Geometrical properties of Cheeger sets have been deeply studied by many authors since their introduction, as a way of bounding from below the first Dirichlet (p)-Laplacian eigenvualue. They represents the first eigenfunction of the Dirichlet (1)-Laplacian of a domain. In this talk we will introduce a recent property, studied in collaboration with Simone Ciani, concerning their contact surface with the ambient space. In particular we will show that the contact surface cannot be too small, with a lower bound on the dimension strictly related to the regularity of the ambient space. The talk will focus on the introduction of the problem and with a brief explanation of its connection with the Diri chlet (p)-Laplacian eigenvalue problem. Then a brief sketch of the proof is given. Functional to the whole argument is the notion of removable singularity, as a tool for extending solutions of pdes under some regularity constraint.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Nguyen, Wang:</b> <a href='/paper/4875/'>Brakke Regularity for the Allen-Cahn Flow</a></p>
<p><b> Nguyen, Wang:</b> <a href='/paper/4876/'>Second order estimates for transition layers and a curvature estimate
for the parabolic Allen-Cahn</a></p>
<p><b> Gang, Wang:</b> <a href='/paper/4877/'>Precise asymptotics near a pinched disk singularity formed by mean
curvature flow</a></p>
<p><b> Allen, Hernandez-Vazquez, Parise, Payne, Wang:</b> <a href='/paper/4878/'>Warped Tori with Almost Non-Negative Scalar Curvature</a></p>
<p><b> Mramor, Wang:</b> <a href='/paper/4879/'>Low Entropy and the Mean Curvature Flow with Surgery</a></p>
<p><b> Bernstein, Wang:</b> <a href='/paper/4880/'>The level set flow of a hypersurface in $\mathbb R^4$ of low entropy does not disconnect</a></p>
<p><b> Mramor, Wang:</b> <a href='/paper/4881/'>On the topological rigidity of self shrinkers in $\mathbb{R}^3$</a></p>
<p><b> Wang, Wang:</b> <a href='/paper/4882/'>Integrability of scalar curvature and normal metric on conformally flat manifolds</a></p>
<p><b> Wang:</b> <a href='/paper/4883/'>Round spheres are Hausdorff stable under small perturbation of entropy</a></p>
<p><b> Rigoni, Stepanov, Trevisan:</b> <a href='/paper/4884/'>Lie brackets of nonsmooth vector fields and commutation of their flows</a></p>
<p><b> Colombo, Tione:</b> <a href='/paper/4885/'>On the commutativity of flows of rough vector fields</a></p>
<p><b> Henrot, Lucardesi:</b> <a href='/paper/4886/'>A Blaschke-Lebesgue theorem for the Cheeger constant</a></p>
<p><b> Mari, Rigoli, Alberto Giulio Setti:</b> <a href='/paper/4888/'>On the $1/H$-flow by $p$-Laplace approximation: new estimates via fake
distances under Ricci lower bounds</a></p>
<p><b> Mari, Leandro Freitas Pessoa:</b> <a href='/paper/4889/'>Maximum principles at infinity and the Ahlfors-Khas'minskii duality: an
overview</a></p>
<p><b> Hakavuori, Kivioja, Moisala, Tripaldi:</b> <a href='/paper/4890/'>Gradings for nilpotent Lie algebras</a></p>
<p><b> Farroni, Greco, Moscariello, Zecca:</b> <a href='/paper/4891/'>Nonlinear evolution problems with singular coefficients in the lower
order terms</a></p>
<p><b> Bruè, Naber, Semola:</b> <a href='/paper/4892/'>Boundary regularity and stability for spaces with Ricci bounded below</a></p>
<p><b> Bruè:</b> <a href='/paper/4893/'>Structure of non-smooth spaces with Ricci curvature bounded below</a></p>
<p><b> Buttazzo, Pratelli:</b> <a href='/paper/4894/'>An application of the continuous Steiner symmetrization to Blaschke-Santalò diagrams</a></p>
<p><b> Santilli:</b> <a href='/paper/4895/'>Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature</a></p>
<p><b> Tewodrose:</b> <a href='/paper/4896/'>Adimensional weighted Sobolev inequalities in PI spaces</a></p>
<p><b> Tewodrose:</b> <a href='/paper/4897/'>A survey on spectral embeddings and their applications in data analysis</a></p>
<p><b> Carron, Tewodrose:</b> <a href='/paper/4898/'>A rigidity result for metric measure spaces with Euclidean heat kernel</a></p>
<h2>Modified Papers</h2>
<p><b> Le Donne, Leonardi, Monti, Vittone:</b> <a href='/paper/2207/'>Extremal polynomials in stratified groups</a></p>
<p><b> Massaccesi, Vittone:</b> <a href='/paper/2895/'>An elementary proof of the rank-one theorem for BV functions</a></p>
<p><b> Tewodrose:</b> <a href='/paper/3238/'>Weighted Sobolev inequalities in CD(0,N) spaces</a></p>
<p><b> Ambrosio, Honda, Tewodrose:</b> <a href='/paper/3304/'>Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces</a></p>
<p><b> Ottazzi, Vittone:</b> <a href='/paper/3658/'>On the codimension of the abnormal set in step two Carnot groups</a></p>
<p><b> Don, Massaccesi, Vittone:</b> <a href='/paper/3685/'>Rank-one theorem and subgraphs of BV functions in Carnot groups</a></p>
<p><b> Bruè, Di Marino, Stra:</b> <a href='/paper/3749/'>Linear Lipschitz and $C^1$ extension operators through random projections</a></p>
<p><b> Don, Vittone:</b> <a href='/paper/3805/'>A compactness result for BV functions in metric spaces</a></p>
<p><b> Bruè, Nguyen:</b> <a href='/paper/3894/'>Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields</a></p>
<p><b> Don, Vittone:</b> <a href='/paper/4016/'>Fine properties of functions with bounded variation in Carnot-Carathéodory spaces</a></p>
<p><b> Davoli, Fonseca, Liu:</b> <a href='/paper/4210/'>Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme</a></p>
<p><b> Chambolle, Lussardi, Villa:</b> <a href='/paper/4397/'>Anisotropic tubular neighborhoods of sets</a></p>
<p><b> Boarotto, Vittone:</b> <a href='/paper/4443/'>A dynamical approach to the Sard problem in Carnot groups</a></p>
<p><b> Don, Le Donne, Moisala, Vittone:</b> <a href='/paper/4531/'>A rectifiability result for finite-perimeter sets in Carnot groups</a></p>
<p><b> Minne, Tewodrose:</b> <a href='/paper/4537/'>Asymptotic Mean Value Laplacian in Metric Measure Spaces</a></p>
<h2>Open Positions</h2>
<p><a href="/position/523/">rtdB Bologna</a> (deadline: Tue 24 November 2020)</p>
<p><a href="/position/524/">Postdoc position at the University of Warwick</a> (deadline: Wed 25 November 2020)</p>
<p><a href="/position/512/">One-year PostDoc position in Genoa</a> (deadline: Thu 26 November 2020)</p>
<p><a href="/position/518/">Junior Professorship (non TT) for Applied Mathematics</a> (deadline: Sun 29 November 2020)</p>
<p><b>(new)</b> <a href="/position/525/">RTDA Torino</a> (deadline: Mon 30 November 2020)</p>
<p><a href="/position/515/">Tenured position in Differential Geometry in Bruxelles</a> (deadline: Tue 1 December 2020)</p>
<p><a href="/position/522/">Postdoc position at the University of Vienna</a> (deadline: Fri 4 December 2020)</p>
<p><a href="/position/504/">Postdoctoral Researcher at Okinawa Institute of Science and Technology under Prof. Daniel Spector</a> (deadline: Tue 15 December 2020)</p>
<p><b>(new)</b> <a href="/position/526/">RTD-A Analisi Matematica al Politecnico di Torino</a> (deadline: Thu 17 December 2020)</p>
<p><b>(new)</b> <a href="/position/527/">ERC Postdoctoral contract in geometric analysis of sub-Riemannian spaces</a> (deadline: Fri 15 January 2021)</p>
<p><a href="/position/458/">PhD student positions at Imperial College London</a> (deadline: Fri 15 January 2021)</p>
<p><a href="/position/469/">Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China</a> (deadline: Thu 11 February 2021)</p>
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