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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/924/'>Baumgartner</a>, <a href='/seminar/925/'>Zanoni</a>, <a href='/seminar/926/'>Bisterzo</a>, <a href='/seminar/927/'>Cooper</a>, <a href='/seminar/928/'>Weng</a>, <a href='/seminar/922/'>Badran</a></p>
<p><b>New papers by:</b> <a >Brigati</a>, <a href='/person/1044/' >Maas</a>, <a href='/person/4916/' >Quattrocchi</a>, <a href='/person/3128/' >Goffi</a>, <a href='/person/4762/' >Fleschler</a>, <a >Cirant</a></p>
<p><b>Modified papers by:</b> <a href='/person/1/'>Tortorelli</a>, <a href='/person/3/'>Ambrosio</a>, <a >Matias</a>, <a >Astwood</a>, <a href='/person/142/'>Agostiniani</a>, <a href='/person/2575/'>Pozzetta</a>, <a >Bloomfield-Gadêlha</a>, <a href='/person/26/'>Stepanov</a>, <a href='/person/2719/'>Semola</a>, <a href='/person/3619/'>Kubin</a>, <a href='/person/164/'>Mazzieri</a>, <a href='/person/2340/'>La Manna</a>, <a >Ok</a>, <a href='/person/42/'>Morandotti</a>, <a href='/person/2100/'>Kruzik</a>, <a href='/person/188/'>Stroffolini</a>, <a href='/person/65/'>Savaré</a>, <a href='/person/3905/'>Cherkashin</a>, <a href='/person/2883/'>Antonelli</a>, <a href='/person/1217/'>Scilla</a>, <a href='/person/965/'>Mondino</a>, <a >Zoppello</a>, <a >Julin</a>, <a >Krömer</a>, <a >Barroso</a>, <a >Owen</a>, <a href='/person/4192/'>Durastanti</a>, <a >Mougenot</a>, <a >Honda</a>, <a href='/person/230/'>Zappale</a>, <a >Shum</a>, <a href='/person/759/'>Fornasier</a>, <a href='/person/1644/'>Almi</a>, <a href='/person/117/'>Paolini</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/1401/'>Teplitskaya</a>, <a href='/person/250/'>Lemenant</a>, <a href='/person/4219/'>Oronzio</a></p>
<h2>Seminars next week</h2>
<h3>Fri 28 February 2025</h3><ul>
<li><p>
Alexander Sahn Baumgartner: <b><a href='/seminar/924/'>Codings for Dynamical Systems</a></b><br />
Centro de Giorgi, Sala Conferenze, 08:30<br />
</p>
<div style="font-size: smaller;"><p>The first part of the talk aims to provide a short introduction to the field of dynamical systems to a broad audience. A few examples are
provided as well as ways to ‘encode’ their chaotic behaviors using mathematically tractable objects called subshifts of finite type. Time
permitting, I will discuss how I applied generalisations of these techniques to certain flows with chaotic behavior.</p>
</div>
</li>
<li><p>
Andrea Zanoni: <b><a href='/seminar/925/'>Parameter estimation and uncertainty propagation for stochastic and deterministic systems</a></b><br />
Centro de Giorgi, Sala Conferenze, 09:15<br />
</p>
<div style="font-size: smaller;"><p>We introduce some examples of inverse and forward problems, and we consider challenges that may arise and possible solutions.
Specifically, we focus on inference for stochastic models and uncertainty propagation for computationally expensive deterministic
systems. First, using a maximum likelihood approach, we estimate unknown parameters in stochastic differential equations from
observed trajectories. We address challenges like model misspecification, lack of information, and discrete time observations, proposing
suitable estimators. Second, we approximate expectations of quantities of interest of expensive models, where Monte Carlo methods are
unfeasible. Combining multifidelity approaches with dimensionality reduction techniques, we provide estimators with reduced variance
without increasing the cost. The effectiveness of our methods is demonstrated through numerical experiments.</p>
</div>
</li>
<li><p>
Andrea Bisterzo (Sapienza Università di Roma): <b><a href='/seminar/926/'>Rigidity of an overdetermined heat equation and minimal helicoids in space-forms</a></b><br />
Centro de Giorgi, Sala Conferenze, 10:00<br />
</p>
<div style="font-size: smaller;"><p>In the seminal paper of 1995, J. C. C. Nitsche proved that if a domain of R<sup>3</sup> is uniformly dense in its boundary, then the boundary has
to be a plane or a right helicoid, closing an open problem proposed by G. Cimmino in 1932. This result has since inspired a rich line
of research on rigidity phenomena for overdetermined differential problems in possibly unbounded domains. The aim of this talk is
to present an ongoing work in collaboration with Professor Alessandro Savo, in which we characterize embedded minimal helicoids
and totally geodesic hypersurfaces in three-dimensional space-forms through the concept of “constant boundary temperature”, an
overdetermined condition involving the Cauchy problem for the heat equation.</p>
</div>
</li>
<li><p>
George Cooper: <b><a href='/seminar/927/'>Moduli Spaces in Algebraic Geometry: an Introduction</a></b><br />
Centro de Giorgi, Sala Conferenze, 11:15<br />
</p>
<div style="font-size: smaller;"><p>In this talk, aimed at a non-specialist audience, we introduce the concept of moduli in algebraic geometry, explain why algebraic
geometers are interested in the study of moduli spaces, and begin to indicate the challenges involved in proving that moduli spaces exist
in the first place. We also begin to explain how the notion of stability in algebraic geometry is related to the existence of moduli spaces,
focusing in particular on the moduli space of semistable vector bundles on a smooth projective algebraic curve. At the end of the talk I
will briefly report on work in progress, joint with L. Modin, about the existence of moduli spaces of unstable objects in Abelian categories,
generalising results of Jackson, Hoskins—Jackson and Qiao concerning the existence of moduli spaces of unstable coherent sheaves on
projective varieties, and of Hamilton concerning the existence of moduli spaces of unstable Higgs bundles on a smooth projective curve.</p>
</div>
</li>
<li><p>
Liangjun Weng (Università degli Studi di Roma Tor Vergata): <b><a href='/seminar/928/'>The capillary Minkowski problem</a></b><br />
Centro de Giorgi, Sala Conferenze, 12:00<br />
</p>
<div style="font-size: smaller;"><p>The classical Minkowski problem is a fundamental inverse problem in convex geometry concerning the prescription of the surface
area measure of a convex body, which was asked by Hermann Minkowski in 1897. This problem has been a key inspiration in the study
of the fully nonlinear PDEs, as in the smooth setting, it reduces to a Monge-Ampère equation on the unit sphere. Through the seminal
works of Nirenberg, Pogorelov, and Cheng-Yau, among many others, this problem has been fully resolved and was a milestone in global
geometry. In this talk, we will discuss a boundary value problem of the classical Minkowski problem, which concerns the existence of a
convex hypersurface with prescribed Gauss-Kronecker curvature and a capillary boundary supported on an obstacle. By formulating this
as a Monge-Ampère equation with a Robin (or Neumann) boundary condition on a spherical cap, we establish the existence of smooth
solutions to this problem.</p>
</div>
</li>
</ul>
<h3>Wed 5 March 2025</h3><ul>
<li><p>
Marco Badran: <b><a href='/seminar/922/'>Harmonic maps to the circle with higher dimensional singular set.</a></b><br />
SNS, Aula Mancini, 15:00<br />
</p>
<div style="font-size: smaller;"><p>We consider the problem of finding harmonic maps to the circle with a prescribed singular set in an arbitrary Riemannian manifold and characterise their uniqueness in terms of the "one-dimensional topology" of the ambient space. We then show how these maps can be used to define new notions of (n-2)-volume, leading to a promising approximation scheme for classical codimension 2 minimal surfaces.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Cirant, Goffi:</b> <a href='/paper/7004/'>Convergence rates for the vanishing viscosity approximation of Hamilton-Jacobi equations: the convex case</a></p>
<p><b> Brigati, Maas, Quattrocchi:</b> <a href='/paper/7005/'>Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-Order Discrepancies
Between Probability Measures</a></p>
<p><b> Fleschler:</b> <a href='/paper/7006/'>An essential one sided boundary singularity for a $3$-dimensional area
minimizing current in $\mathbb{R}^5$</a></p>
<h2>Modified Papers</h2>
<p><b> Ambrosio, Fornasier, Morandotti, Savaré:</b> <a href='/paper/3871/'>Spatially Inhomogeneous Evolutionary Games</a></p>
<p><b> Matias, Morandotti, Owen, Zappale:</b> <a href='/paper/4364/'>Upscaling and spatial localization of non-local energies with applications to crystal plasticity</a></p>
<p><b> Zoppello, Morandotti, Bloomfield-Gadêlha:</b> <a href='/paper/5363/'>Controlling non-controllable scallops</a></p>
<p><b> Agostiniani, Mazzieri, Oronzio:</b> <a href='/paper/5568/'>A Green's function proof of the positive mass theorem</a></p>
<p><b> Oronzio:</b> <a href='/paper/5689/'>ADM mass, area and capacity in asymptotically flat $3$--manifolds with nonnegative scalar curvature</a></p>
<p><b> Barroso, Matias, Morandotti, Owen, Zappale:</b> <a href='/paper/5696/'>The variational modeling of hierarchical structured deformations</a></p>
<p><b> Julin, La Manna:</b> <a href='/paper/6126/'>Convergence of the volume preserving fractional mean curvature flow for convex sets</a></p>
<p><b> Novaga, Paolini, Tortorelli:</b> <a href='/paper/6331/'>Locally isoperimetric partitions</a></p>
<p><b> Almi, Durastanti, Solombrino:</b> <a href='/paper/6416/'>A Pontryagin Maximum Principle for agent-based models with convex state space</a></p>
<p><b> Krömer, Kruzik, Morandotti, Zappale:</b> <a href='/paper/6425/'>Measure-valued structured deformations</a></p>
<p><b> Cherkashin, Paolini, Teplitskaya:</b> <a href='/paper/6547/'>Steiner trees with infinitely many terminals on the sides of an angle</a></p>
<p><b> Honda, Mondino:</b> <a href='/paper/6594/'>Poincar\'e inequality for one forms on four manifolds with bounded Ricci curvature</a></p>
<p><b> Shum, Zoppello, Astwood, Morandotti:</b> <a href='/paper/6604/'>Control of Microparticles Through Hydrodynamic Interactions</a></p>
<p><b> Antonelli, Pozzetta, Semola:</b> <a href='/paper/6624/'>Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature</a></p>
<p><b> Kubin, La Manna:</b> <a href='/paper/6637/'>Characterization of sets of finite local and non local perimeter via non local heat equation</a></p>
<p><b> Ok, Scilla, Stroffolini:</b> <a href='/paper/6829/'>Partial regularity for degenerate systems of double phase type</a></p>
<p><b> Novaga, Paolini, Stepanov:</b> <a href='/paper/6854/'>On the total surface area of potato packings</a></p>
<p><b> Lemenant, Mougenot:</b> <a href='/paper/6986/'>Boundary regularity for the polyharmonic Dirichlet problem</a></p>
<h2>Open Positions</h2>
<p><a href="/position/967/">Doctoral and post-doctoral positions at Westlake University, Hangzhou, China</a> (deadline: Mon 10 March 2025)</p>
<p><a href="/position/995/">5-10 Postdoctoral positions at Jyväskylä</a> (deadline: Mon 17 March 2025)</p>
<p><b>(new)</b> <a href="/position/997/">Professore Associato - Analisi Matematica - Univ. Udine</a> (deadline: Thu 20 March 2025)</p>
<p><b>(new)</b> <a href="/position/998/">PhD position in DFG Emmy Noether research group "Geometric functional inequalities and their stability"</a> (deadline: Mon 31 March 2025)</p>
<p><a href="/position/996/">PhD position at Technical University of Munich, group "Multiscale and Stochastic Dynamics"</a> (deadline: Sat 31 May 2025)</p>
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