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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/722/'>Zhu</a>, <a href='/seminar/723/'>Radici</a></p>
<p><b>New papers by:</b> <a href='/person/256/' >Vittone</a>, <a >Mallasto</a>, <a href='/person/194/' >Stefanelli</a>, <a href='/person/2661/' >Don</a>, <a >Bonnivard</a>, <a >Montúfar</a>, <a href='/person/168/' >Lussardi</a>, <a href='/person/234/' >Le Donne</a>, <a >Moisala</a>, <a >Grossi</a>, <a href='/person/112/' >Zeppieri</a>, <a href='/person/1269/' >Gerolin</a>, <a >Gori-Giorgi</a>, <a href='/person/250/' >Lemenant</a>, <a >Bretin</a>, <a >Brazda</a></p>
<p><b>Modified papers by:</b> <a >Chambolle</a>, <a href='/person/271/'>Rajala</a>, <a >Frank</a>, <a >Züst</a>, <a href='/person/2207/'>Pasqualetto</a>, <a >Kausamo</a>, <a >Bellettini</a>, <a href='/person/2217/'>Marconi</a>, <a href='/person/1066/'>Burger</a>, <a >Schiattarella</a>, <a href='/person/3502/'>Bulanyi</a>, <a href='/person/2482/'>Lučić</a>, <a >Young</a>, <a href='/person/2883/'>Antonelli</a>, <a href='/person/71/'>Guarino Lo Bianco</a>, <a href='/person/974/'>Farroni</a>, <a >Bungert</a>, <a href='/person/1745/'>Bonicatto</a>, <a href='/person/217/'>Fusco</a>, <a href='/person/234/'>Le Donne</a>, <a >Pozzi</a>, <a href='/person/1269/'>Gerolin</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/2331/'>Caponi</a>, <a href='/person/2553/'>Borrelli</a>, <a href='/person/250/'>Lemenant</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/585/'>Junior Math Days 2019</a></b><br />
Sun 15 December 2019 - Wed 18 December 2019<br />
SISSA, Trieste<br /></p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Tue 10 December 2019</h3><ul>
<li><p>
Jingyong Zhu: <b><a href='/seminar/722/'>Sacks-Uhlenbeck Scheme in The Context of Dirac-harmonic Maps</a></b><br />
Scuola Normale Superiore, Aula Bianchi, 10:00<br /> </p>
<div style="font-size: smaller;"><p>$\alpha$-Dirac-harmonic maps are variations of Dirac-harmonic maps, analogous to $\alpha$-harmonic maps that were introduced by Sacks-Uhlenbeck to attack the existence problem for harmonic maps from closed surfaces. For $\alpha >1$, the latter are known to satisfy a Palais-Smale condition, and so, the technique of Sacks-Uhlenbeck consists in constructing $\alpha$-harmonic maps for $\alpha >1$ and then letting $\alpha\to1$. In this talk, we will extend this scheme to Dirac-harmonic maps.</p>
</div> </li>
</ul>
<h3>Wed 11 December 2019</h3><ul>
<li><p>
Emanuela Radici (Università degli Studi dell'Aquila): <b><a href='/seminar/723/'>A deterministic particle approach to aggregation diffusion models and application to opinion dynamics.</a></b><br />
Sala Seminari (Dipartimento di Matematica di Pisa), 17:00<br /> </p>
<div style="font-size: smaller;"><p>We describe the one dimensional dynamics of a biological population
influenced by the presence of a nonlocal attractive potential and a
diffusive term, under the constraint that no overcrowding can occur.
This setting can be expressed by a class of aggregation-diffusion PDEs
with nonlinear mobility. We investigate the existence of weak type
solutions obtained as many particle limit of a suitable nonlocal
version of the follow-the-leader scheme, which is interpreted as the
discrete Lagrangian approximation of the target continuity equation.
We restrict the analysis to non negative initial data with finite
total variation, away from vacuum and supported in a closed interval
with zero-velocity boundary conditions. The main novelties of this
work concern the presence of the nonlinear mobility term and the non
strict monotonicity of the diffusion function, thus our result applies
also to strongly degenerate diffusion equations. We also address the
pure attractive regime, where we are able to achieve the stronger
notion of entropy solution. Finally, we apply this deterministic
method to a slightly different class of aggregation-diffusion
equations, where the mobility is still linear in the density but not
linear in the space variable and the nonlocal attractive term is a
standard choice in the theory of opinion dynamics. This is based on
joint works with M. Di Francesco and S. Fagioli.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Zeppieri:</b> <a href='/paper/4529/'>Homogenisation of high-contrast brittle materials</a></p>
<p><b> Brazda, Lussardi, Stefanelli:</b> <a href='/paper/4530/'>Existence of varifold minimizers for the multiphase Canham-Helfrich functional</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> Bonnivard, Bretin, Lemenant:</b> <a href='/paper/4532/'>Numerical approximation of the Steiner problem in dimension 2 and 3</a></p>
<p><b> Mallasto, Montúfar, Gerolin:</b> <a href='/paper/4533/'>How Well Do WGANs Estimate the Wasserstein Metric?</a></p>
<p><b> Gerolin, Grossi, Gori-Giorgi:</b> <a href='/paper/4534/'>Kinetic correlation functionals from the entropic regularisation of the
strictly-correlated electrons problem</a></p>
<h2>Modified Papers</h2>
<p><b> Caponi:</b> <a href='/paper/3790/'>Existence of solutions to a phase-field model of dynamic fracture with a crack-dependent dissipation</a></p>
<p><b> Gerolin, Kausamo, Rajala:</b> <a href='/paper/3864/'>Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces</a></p>
<p><b> Borrelli, Frank:</b> <a href='/paper/4134/'>Sharp decay estimates for critical Dirac equations</a></p>
<p><b> Bungert, Burger, Chambolle, Novaga:</b> <a href='/paper/4199/'>Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals</a></p>
<p><b> Farroni, Fusco, Guarino Lo Bianco, Schiattarella:</b> <a href='/paper/4280/'>A formula for the anisotropic total variation of SBV functions</a></p>
<p><b> Novaga, Pozzi:</b> <a href='/paper/4302/'>A second order gradient flow of $p$-elastic planar networks</a></p>
<p><b> Bonicatto, Marconi:</b> <a href='/paper/4488/'>Regularity estimates for the flow of BV autonomous divergence free vector fields in $\mathbb{R}^2$</a></p>
<p><b> Caponi:</b> <a href='/paper/4491/'>On some mathematical problems in fracture dynamics</a></p>
<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> Le Donne, Lučić, Pasqualetto:</b> <a href='/paper/4497/'>Universal infinitesimal Hilbertianity of sub-Riemannian manifolds</a></p>
<p><b> Antonelli, Le Donne:</b> <a href='/paper/4505/'>Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces</a></p>
<p><b> Bellettini, Le Donne:</b> <a href='/paper/4506/'>Sets with constant normal in Carnot groups: properties and examples</a></p>
<p><b> Bulanyi, Lemenant:</b> <a href='/paper/4523/'>Regularity for the planar optimal $p$-compliance problem</a></p>
<h2>Open Positions</h2>
<p><a href="/position/447/">2 Postdoc positions at the University of Bologna</a> (deadline: Mon 9 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><a href="/position/439/">4-year PhD student in Probability and Analysis in Eindhoven</a> (deadline: Sun 15 December 2019)</p>
<p><a href="/position/443/">Postdoc and PhD positions in Münster and Vienna</a> (deadline: Sun 15 December 2019)</p>
<p><b>(new)</b> <a href="/position/450/">Post-doc positions in Mathematics, Applied Mathematics and Statistics -- Uppsala Universitet</a> (deadline: Mon 16 December 2019)</p>
<p><b>(new)</b> <a href="/position/449/">concorsi dipartimento di matematica università di Pisa</a> (deadline: Mon 30 December 2019)</p>
<p><a href="/position/445/">Two-year PostDoc position at TU Dortmund, Germany</a> (deadline: Tue 31 December 2019)</p>
<p><b>(new)</b> <a href="/position/448/">two-year postdoctoral position UTIA, Czech Academy of Science, Prague</a> (deadline: Tue 31 December 2019)</p>
<p><a href="/position/444/">Postdoctoral position in Analysis, University of Pittsburgh</a> (deadline: Wed 1 January 2020)</p>
<p><a href="/position/446/">Faculty Positions at Radboud University, Nijmegen, NL.</a> (deadline: Sun 12 January 2020)</p>
<p><a href="/position/438/">Two-year postdoctoral position in geometric analysis at University of Paris</a> (deadline: Sat 18 January 2020)</p>
<p><b>(new)</b> <a href="/position/451/">Postdoc postition (2 years) at Warwick in ERC group of Filip Rindler</a> (deadline: Mon 20 January 2020)</p>
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