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<h2>cvgmt weekly bulletin</h2>
<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/964/'>Bergermann</a>, <a href='/seminar/965/'>Cogo</a>, <a href='/seminar/966/'>Pan</a></p>
<p><b>New papers by:</b> <a >Poiatti</a>, <a href='/person/33/' >Prinari</a>, <a href='/person/5888/' >Pinzi</a>, <a href='/person/4324/' >Marveggio</a>, <a href='/person/198/' >Brasco</a>, <a href='/person/199/' >Ponsiglione</a>, <a href='/person/3978/' >Diana</a>, <a href='/person/1099/' >De Luca</a>, <a href='/person/3338/' >D'Elia</a>, <a href='/person/4398/' >Riccò</a>, <a href='/person/3664/' >Briani</a>, <a href='/person/5363/' >Tolotti</a>, <a href='/person/184/' >Davoli</a>, <a href='/person/1401/' >Teplitskaya</a>, <a >Abels</a>, <a >Cherdantsev</a></p>
<p><b>Modified papers by:</b> <a href='/person/260/'>Goldman</a>, <a href='/person/132/'>Fonseca</a>, <a href='/person/3721/'>Egan</a>, <a >Schmitzer</a>, <a href='/person/2573/'>Ferreira</a>, <a href='/person/22/'>De Philippis</a>, <a >Stinson</a>, <a href='/person/165/'>Rossi</a>, <a href='/person/44/'>Braides</a>, <a >Bredies</a>, <a href='/person/184/'>Davoli</a>, <a href='/person/4539/'>Iglesias</a>, <a href='/person/204/'>Dal Maso</a>, <a >Lavier</a>, <a href='/person/2260/'>Stefani</a>, <a >Shenfeld</a>, <a >Bonfanti</a>, <a href='/person/5081/'>Cosenza</a>, <a >Koser</a>, <a href='/person/4312/'>Ganedi</a>, <a href='/person/1251/'>Bourne</a>, <a href='/person/4324/'>Marveggio</a>, <a >Pelloni</a>, <a >Le Bris</a>, <a href='/person/4715/'>Happ</a>, <a >Walter</a>, <a href='/person/1394/'>Cristoferi</a>, <a >Wirth</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/1058/'>Junior Math Days 2025 at SISSA</a></b><br />
Mon 1 December 2025 - Wed 3 December 2025<br />
SISSA, Trieste<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Thu 4 December 2025</h3><ul>
<li><p>
Kai Bergermann: <b><a href='/seminar/964/'>Numerical linear algebra meets multiplex networks</a></b><br />
Centro de Giorgi, Sala Conferenze, 09:30<br />
</p>
<div style="font-size: smaller;"><p>Multiplex networks are used to model complex systems from myriad applications. They generalize classical complex networks by recording different types of relationships, different interactions, or changing interactions over time between the same entities in different layers. They possess natural linear algebraic representations in terms of structured matrices, which makes efficient numerical linear algebra techniques a valuable tool for their analysis.
In this talk, I will present contributions to multiplex network analysis relying on matrix function approximation and nonlinear spectral methods. I will discuss centrality measures, the solution of stiff systems of non-linear differential equations with exponential Runge--Kutta integrators, un- and semi-supervised community detection, and core-periphery detection. All presented methods have a linear runtime scaling, which allows the treatment of large-scale multiplex networks and numerical experiments for all considered problems will be presented.</p>
</div>
</li>
<li><p>
Albachiara Cogo (University of Tübingen): <b><a href='/seminar/965/'>Sobolev conformal structures on closed manifolds</a></b><br />
Centro de Giorgi, Sala Conferenze, 10:30<br />
</p>
<div style="font-size: smaller;"><p>Rough metrics arise naturally in the realm of geometric PDEs, especially in relation to physical models. It is well known in Riemannian geometry that the components of such metrics have the best regularity in harmonic coordinates. In this talk, we introduce a novel approach to globalize this idea and study conformal classes of rough Riemannian metrics on closed 3-manifolds. Given a Riemannian metric in the Sobolev class $W^{2, q}$ with $q > 3$, we characterize when a more regular representative exists in its conformal class. We highlight a deep link to the Yamabe problem for rough metrics, which we fully resolve. In particular, for Yamabe positive metrics, the Yamabe problem in this low-regularity setting requires developing new elliptic theory for the conformal Laplacian, including existence, regularity and a fine blow-up analysis of its Green function, which we provide in any dimension $n \geq 3$ and for $q> \frac n2$. This is based on joint work with R. Avalos and A. Royo Abrego.</p>
</div>
</li>
<li><p>
Yi Pan: <b><a href='/seminar/966/'>Genericity of meandering invariant tori</a></b><br />
, 11:30<br />
</p>
<div style="font-size: smaller;"><p>In classical KAM theory, a certain nondegeneracy of the integrable Hamiltonian is crucial
to show the existence of invariant tori when perturbing. These invariant tori are graphs of Lipschitz functions. However, when such nondegeneracy is violated, very little is known. Inspired by some numerical examples of Simó, we will show the existence of meandering (non-graphic) invariant tori and that they are generic. This is a joint work in progress with Vadim Kaloshin and Illya Koval.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> De Luca, Diana, Ponsiglione:</b> <a href='/paper/7414/'>Flat flows of periodic Lipschitz subgraphs for generalized nonlocal perimeters</a></p>
<p><b> Abels, Marveggio, Poiatti:</b> <a href='/paper/7415/'>Well-posedness and sharp interface limit of a non-isothermal Navier-Stokes/Allen-Cahn model</a></p>
<p><b> Brasco, Briani, Prinari:</b> <a href='/paper/7416/'>Extremals for sharp Poincaré-Sobolev inequalities: periodically perforated sets and beyond</a></p>
<p><b> Teplitskaya:</b> <a href='/paper/7417/'>Open problems on Steiner trees and maximal distance minimizers</a></p>
<p><b> Cherdantsev, Davoli, D'Elia, Riccò:</b> <a href='/paper/7418/'>Homogenization and linearization in magnetoelasticity under small elastic response</a></p>
<p><b> Tolotti:</b> <a href='/paper/7419/'>Variational problems in materials science: thin structures and defect patterns</a></p>
<p><b> Pinzi:</b> <a href='/paper/7420/'>A study of the metric measure space of probability measures via a purely atomic superposition principle</a></p>
<h2>Modified Papers</h2>
<p><b> Bourne, Schmitzer, Wirth:</b> <a href='/paper/4011/'>Semi-discrete unbalanced optimal transport and quantization</a></p>
<p><b> Bonfanti, Davoli, Rossi:</b> <a href='/paper/6148/'>A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love plates</a></p>
<p><b> Bredies, Iglesias, Walter:</b> <a href='/paper/6548/'>On extremal points for some vectorial total variation seminorms</a></p>
<p><b> Braides, Dal Maso, Le Bris:</b> <a href='/paper/6841/'>A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations</a></p>
<p><b> Davoli, Happ:</b> <a href='/paper/6857/'>Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory</a></p>
<p><b> De Philippis, Shenfeld:</b> <a href='/paper/6865/'>Optimal transport maps, majorization, and log-subharmonic measures</a></p>
<p><b> Cosenza, Goldman, Koser:</b> <a href='/paper/6867/'>New dimensional bounds for a branched transport problem</a></p>
<p><b> Ganedi, Marveggio, Stinson:</b> <a href='/paper/6888/'>Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow</a></p>
<p><b> Cristoferi, Ferreira, Fonseca, Iglesias:</b> <a href='/paper/7065/'>Monotonicity of the jump set and jump amplitudes in one-dimensional TV denoising</a></p>
<p><b> Stefani:</b> <a href='/paper/7070/'>On a weighted version of the BBM formula</a></p>
<p><b> Bourne, Egan, Lavier, Pelloni:</b> <a href='/paper/7074/'>Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations</a></p>
<h2>Open Positions</h2>
<p><a href="/position/1049/">Postdoctoral position in Calculus of Variations at TUM, Munich</a> (deadline: Sun 30 November 2025)</p>
<p><a href="/position/1052/">Research Fellowship unde the ERC Project “GENREG – Generic regularity of area minimising hypersurfaces and mean curvature flows”</a> (deadline: Sun 30 November 2025)</p>
<p><a href="/position/1053/">Post-doc positions in Geometric Partial Differential Equations, University of Vienna</a> (deadline: Sun 30 November 2025)</p>
<p><a href="/position/1054/">3 postdoctoral positions and 2 PhD positions in Vienna</a> (deadline: Sun 30 November 2025)</p>
<p><a href="/position/1058/">Assistant/ Associate/ Chair (Professor) in Mathematics at Imperial College London</a> (deadline: Sun 30 November 2025)</p>
<p><a href="/position/1059/">4-9 Postdoctoral positions at Jyväskylä</a> (deadline: Sun 30 November 2025)</p>
<p><a href="/position/1060/">Postdoc in the ERC project EYAWKAJKOS</a> (deadline: Sun 30 November 2025)</p>
<p><b>(new)</b> <a href="/position/1071/">TT and postdoctoral positions at the University of Oklahoma</a> (deadline: Mon 1 December 2025)</p>
<p><a href="/position/1063/">Senior Scientist at TU Wien</a> (deadline: Thu 11 December 2025)</p>
<p><a href="/position/1068/">Postdoctoral Research Fellowship at Warwick and BCAM Bilbao</a> (deadline: Mon 15 December 2025)</p>
<p><a href="/position/1069/">Posizione di Ricercatore RTT - MATH-03/A - Analisi Matematica - Dipartimento di Matematica dell'Univ. di Napoli Federico II</a> (deadline: Mon 15 December 2025)</p>
<p><a href="/position/1050/">2 postdoctoral positions in GMT - Institute of Mathematics of the Polish Academy of Sciences, Warsaw</a> (deadline: Tue 16 December 2025)</p>
<p><a href="/position/1062/">Postdoc positions project SingMeas in Trento</a> (deadline: Fri 19 December 2025)</p>
<p><a href="/position/1051/">Analysis of Nonlinear PDE in Fluid Dynamics</a> (deadline: Sun 21 December 2025)</p>
<p><b>(new)</b> <a href="/position/1072/">3 postdoctoral research positions in GMT / Geometric Analysis at the University of Milan</a> (deadline: Mon 22 December 2025)</p>
<p><a href="/position/1057/">Two postdoctoral positions in Partial Differential Equations at Uppsala University</a> (deadline: Wed 31 December 2025)</p>
<p><a href="/position/1066/">Postdoc position (2+2 years) National Taiwan Normal University</a> (deadline: Tue 6 January 2026)</p>
<p><a href="/position/1064/">Post-doctoral position (2 years) at Vrije Universiteit Brussel, Belgium</a> (deadline: Fri 9 January 2026)</p>
<p><a href="/position/1067/">PhD position in Applied Analysis at KU Eichstätt-Ingolstadt</a> (deadline: Fri 9 January 2026)</p>
<p><b>(new)</b> <a href="/position/1073/">Lecturer/Assistant Professor at University College Dublin</a> (deadline: Fri 9 January 2026)</p>
<p><a href="/position/1042/">Postdoc position in Nancy</a> (deadline: Sat 10 January 2026)</p>
<p><b>(new)</b> <a href="/position/1070/">Assistant/Associate Professor in Mathematics (Probabillity / Mathematical Foundations of Data Science) in Jyväskylä</a> (deadline: Mon 12 January 2026)</p>
<p><a href="/position/1065/">PhD Position VADOR group, TU Wien</a> (deadline: Fri 30 January 2026)</p>
<p><a href="/position/1061/">PhD Positions - Mathematics and Applications - Bocconi University</a> (deadline: Thu 5 February 2026)</p>
<p><a href="/position/1056/">PhD position in Geometric Analysis, University of Vienna</a> (deadline: Sat 28 February 2026)</p>
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