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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/906/'>Guan</a></p>
<p><b>New papers by:</b> <a >Xu</a>, <a href='/person/1283/' >Han</a>, <a href='/person/198/' >Brasco</a>, <a >Guerra</a>, <a href='/person/2280/' >Zemas</a>, <a >Liu</a>, <a >Zhu</a>, <a >Alessi</a>, <a href='/person/13/' >Miranda Jr</a>, <a >Guglielmi</a>, <a href='/person/3279/' >Maiale</a>, <a >Giovannardi</a>, <a href='/person/141/' >Pinamonti</a>, <a href='/person/4959/' >Heilmann</a>, <a href='/person/183/' >Cicalese</a>, <a >Lamy</a>, <a href='/person/3935/' >Verzellesi</a></p>
<p><b>Modified papers by:</b> <a href='/person/1283/'>Han</a>, <a >Ascione</a>, <a href='/person/2575/'>Pozzetta</a>, <a href='/person/150/'>Franzina</a>, <a >Apollonio</a>, <a >De Canditiis</a>, <a >Stolfi</a>, <a >Torrisi</a>, <a href='/person/162/'>Dragoni</a>, <a >Milman</a>, <a href='/person/44/'>Braides</a>, <a >Liu</a>, <a >Sturm</a>, <a href='/person/4409/'>Pascale</a>, <a href='/person/186/'>Figalli</a>, <a >Lagoutière</a>, <a href='/person/201/'>Santambrogio</a>, <a >Tran Tien</a>, <a href='/person/3937/'>Anceschi</a>, <a href='/person/226/'>Gigli</a>, <a >Carlier</a>, <a href='/person/5230/'>Voglino</a>, <a href='/person/5231/'>Zanardini</a>, <a >Zhang</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/1917/'>Castorina</a></p>
<h2>Seminars next week</h2>
<h3>Wed 9 October 2024</h3><ul>
<li><p>
Pengfei Guan: <b><a href='/seminar/906/'>Anisotropic Gauss curvature type flow and application to $L^p$-Minkowski problem.</a></b><br />
Scuola Normale Superiore, Aula Bianchi Scienze, 15:00<br />
</p>
<div style="font-size: smaller;"><p>The $L^p$ version of the Minkowski problem was introduced by Lutwak, an extension of the classical Minkowski problem in convex geometry. We discuss the Gauss curvature type flow approach to the problem. The Gauss curvature flow was introduced by Firey in 1974, the flow and its variations have been extensively studied, through works by K.S. Chou, R. Hamilton, B. Chow, B. Andrews, Guan-Ni, Brendle-Choi-Daskalopoulos, and many others. The convergence in general dimension was proved by Guan-Ni and Andrews-Guan-Ni, the most important uniqueness problm was resolved by Brendle-Choi-Daskalopoulos in recent years. An entropy type quantity and its estimates play a crucial role in the work of Andrews-Guan-Ni. This entropy is also related to the $L^p$-Minkowski problem, as its solution can be formulated as a critical point of entropy functional with constrained volume, a problem of calculus of variations. The anisotropic flow by power of Gauss curvature can serve as a natural path for this problem of calculus of variations. We will also some open problems related to the Christoffel-Minkowski type problem.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Guglielmi, Maiale:</b> <a href='/paper/6803/'>Gripenberg-like algorithm for the lower spectral radius</a></p>
<p><b> Han, Liu, Zhu:</b> <a href='/paper/6804/'>On the geometry of Wasserstein barycenter I</a></p>
<p><b> Han, Xu:</b> <a href='/paper/6805/'>Sharp uncertainty principles on metric measure spaces</a></p>
<p><b> Han:</b> <a href='/paper/6806/'>On the asymptotic behaviour of the fractional Sobolev seminorms: a geometric approach</a></p>
<p><b> Han:</b> <a href='/paper/6807/'>Sharp and rigid isoperimetric inequality in metric measure spaces with non-negative Ricci curvature</a></p>
<p><b> Han:</b> <a href='/paper/6808/'>ABP estimate on metric measure spaces via optimal transport</a></p>
<p><b> Alessi, Brasco, Miranda Jr:</b> <a href='/paper/6809/'>A Schroedinger operator with confining potential having quadratic growth</a></p>
<p><b> Giovannardi, Pinamonti, Verzellesi:</b> <a href='/paper/6810/'>Curvature estimates for minimal hypersurfaces in the Heisenberg group</a></p>
<p><b> Guerra, Lamy, Zemas:</b> <a href='/paper/6811/'>On the existence of degenerate solutions of the two-dimensional H-system</a></p>
<p><b> Cicalese, Heilmann:</b> <a href='/paper/6812/'>Surfactants in a non-local model for phase transitions</a></p>
<h2>Modified Papers</h2>
<p><b> Gigli, Han:</b> <a href='/paper/2859/'>Sobolev Spaces on Warped Products</a></p>
<p><b> Han:</b> <a href='/paper/2866/'>Ricci tensor on ${\rm RCD}^*(K, N)$ spaces</a></p>
<p><b> Han:</b> <a href='/paper/2867/'>Conformal transformation on metric measure spaces</a></p>
<p><b> Han:</b> <a href='/paper/3594/'>Ricci tensor on smooth metric measure space with boundary</a></p>
<p><b> Han:</b> <a href='/paper/3642/'>Characterizations of monotonicity of vector fields on metric measure space</a></p>
<p><b> Han:</b> <a href='/paper/3643/'>Self-improvement of gradient estimate of heat flows on metric measure spaces</a></p>
<p><b> Han:</b> <a href='/paper/4202/'>Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds</a></p>
<p><b> Han, Milman:</b> <a href='/paper/4301/'>Sharp Poincare inequality under Measure Contraction Property</a></p>
<p><b> Han, Sturm:</b> <a href='/paper/4369/'>Curvature-dimension conditions for diffusions under time change</a></p>
<p><b> Han:</b> <a href='/paper/4370/'>The sharp $p$-Poincaré inequality under the measure contraction property</a></p>
<p><b> Han:</b> <a href='/paper/4564/'>Rigidity of some functional inequalities on ${\rm RCD}$ spaces</a></p>
<p><b> Lagoutière, Santambrogio, Tran Tien:</b> <a href='/paper/5946/'>Vanishing viscosity limit for aggregation-diffusion equations</a></p>
<p><b> Apollonio, De Canditiis, Franzina, Stolfi, Torrisi:</b> <a href='/paper/6121/'>Normal approximation of random Gaussian neural networks</a></p>
<p><b> Pascale, Pozzetta:</b> <a href='/paper/6410/'>Quantitative isoperimetric inequalities for classical capillarity problems</a></p>
<p><b> Dragoni, Liu, Zhang:</b> <a href='/paper/6451/'>Horizontal semiconcavity for the square of Carnot-Carath\'eodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations</a></p>
<p><b> Carlier, Figalli, Santambrogio:</b> <a href='/paper/6512/'>Transport maps between 1/d-concave densities</a></p>
<p><b> Anceschi, Ascione, Castorina, Solombrino:</b> <a href='/paper/6559/'>Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift</a></p>
<p><b> Braides, Voglino, Zanardini:</b> <a href='/paper/6569/'>Microstructures and anti-phase boundaries in long-range lattice systems</a></p>
<h2>Open Positions</h2>
<p><a href="/position/946/">4 post-doc positions at the Scuola Superiore Meridionale</a> (deadline: Tue 15 October 2024)</p>
<p><a href="/position/944/">ERC Postdoc position in sub-Riemannian geometry at SISSA, Trieste (Italy)</a> (deadline: Thu 31 October 2024)</p>
<p><b>(new)</b> <a href="/position/954/">PhD Position at Goethe-University Frankfurt</a> (deadline: Thu 31 October 2024)</p>
<p><b>(new)</b> <a href="/position/953/">Doctoral and postdoctoral positions at Mathematics Münster</a> (deadline: Fri 1 November 2024)</p>
<p><a href="/position/942/">6 year research position in Lisbon</a> (deadline: Fri 29 November 2024)</p>
<p><a href="/position/949/">2 ERC Postdoc positions at Bocconi University, Milan</a> (deadline: Sat 30 November 2024)</p>
<p><a href="/position/951/">Assistant Professor at Bocconi University</a> (deadline: Sun 15 December 2024)</p>
<p><b>(new)</b> <a href="/position/952/">Expression of interest for a two-year postdoctoral position in Padova (Italy)</a> (deadline: Tue 31 December 2024)</p>
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