Analysis-seminar

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September 2026

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Annuncio due seminari di Analisi - Merlo & Borken
by Luigi Forcella 19 Sep '26

19 Sep '26

Care tutte, cari tutti, Con la presente si annunciano i seguenti seminari di Analisi: Mercoledì 23 settembre 2026, alle 17:00, in Aula Magna, avremo il piacere di ascoltare Andrea Merlo (Universidad del País Vasco), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6aa90451d052f347a9f014c6> dal titolo “Lipschitz functions and the geometry of rough sets". Giovedì 24 settembre 2026, alle 16:00, in Aula Riunioni, avremo il piacere di ascoltare Malte Borken (Max Planck Institute for Mathematics in the Sciences) che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6aa5709bd052f347a9f01446> dal titolo “A characterization of submanifolds of mxn matrices satisfying optimal rigidity estimates". Trovate gli abstract qui sotto. A presto, Luigi. ————————————————— Dear all, We announce the following two Analysis seminars: on Wednesday, 23 sept. 2026, 5pm, in Aula Magna, we will have the pleasure of listening to Andrea Merlo (Universidad del País Vasco); the title of the talk<https://www.dm.unipi.it/seminario/?id=6aa90451d052f347a9f014c6> is “Lipschitz functions and the geometry of rough sets”. on Thursday, 24 sept. 2026, 4pm, in Aula Riunioni, we will have the pleasure of listening to Malte Borken (Max Planck Institute for Mathematics in the Sciences); the title of the talk<https://www.dm.unipi.it/seminario/?id=6aa5709bd052f347a9f01446> is “A characterization of submanifolds of mxn matrices satisfying optimal rigidity estimates”. Please find the abstracts below. Best regards, Luigi ————————— Speaker: Andrea Merlo Title: Lipschitz functions and the geometry of rough sets Abstract: Rademacher’s theorem tells us that Lipschitz functions on Euclidean space admit linear approximations at almost every point. Can the approximation properties of Lipschitz functions also tell us whether a set has a regular geometric structure? For sets whose measure is comparable to a fixed power of the radius, David and Semmes proposed the following principle: if every Lipschitz function can be well approximated by affine functions, with quantitative control of the locations and scales where approximation fails, then the set must be uniformly rectifiable. This means that every ball contains a substantial portion of the set that admits a Lipschitz parametrization, with uniform bounds. This is the WALA conjecture. In this talk, I present a proof of the conjecture and explain the geometric ideas connecting curves, differentiability and affine approximation. I also briefly discuss applications to elliptic partial differential equations, arising from joint work with Mihalis Mourgoglou, where estimates for solutions reveal geometric properties of the boundary. Speaker: Malte Borken Title: A characterization of submanifolds of mxn matrices satisfying optimal rigidity estimates Abstract: By a theorem of Friesecke, James and Müller from 2002, the set of rotations SO(n) satisfies the following rigidity estimate: If u is an H^1-vector field defined on some bounded Lipschitz domain, then the L^2-distance of Du to a single rotation can be controlled by the L^2-norm of the distance of Du to SO(n). We are interested in the following question: Exactly which structural properties of the set SO(n) enable it to satisfy the aforementioned rigidity estimate? I will discuss a new approach to the problem, which allows one to find necessary and sufficient conditions for a general compact C^1-submanifold of mxn matrices to satisfy such a rigidity estimate. Furthermore, this approach allows one to show that the estimate is stable under small graphical perturbations of the submanifold. This talk is based on my master's thesis, written under the supervision of Konstantinos Zemas and Sergio Conti. ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Annuncio seminario di analisi 17 sett. 2026, speaker L.E. Hientzsch (KIT)
by Luigi Forcella 11 Sep '26

11 Sep '26

Care tutte, cari tutti, Con la presente si annuncia il seguente seminario di Analisi: Giovedì 17 settembre 2026, alle 16:00, in Aula Seminari, avremo il piacere di ascoltare Lars Eric Hientzsch (Karlsruher Institut für Technologie), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6a96bc0ed609e127602c55c6> dal titolo “On leapfrogging vortex rings for the Euler equations”. Trovate l'abstract qui sotto. A presto, Luigi. ————————————————— Dear all, We announce the following Analysis seminar: on Thursday, 17 sept. 2026, 4pm, in Aula Seminari, we will have the pleasure of listening to Lars Eric Hientzsch (Karlsruher Institut für Technologie). The title of the talk<https://www.dm.unipi.it/seminario/?id=6a96bc0ed609e127602c55c6> is “On leapfrogging vortex rings for the Euler equations”. Please find the abstract below. Best regards, Luigi ----------------------------------- Speaker: Lars Eric Hientzsch (Karlsruher Institut für Technologie) Title: On leapfrogging vortex rings for the Euler equations Abstract: In 1858, Helmholtz conjectured that coaxial vortex rings in 3D inviscid fluids can exhibit the "leapfrogging" dynamics, where rings repeatedly pass through one another. While well-documented experimentally, this phenomenon involves singular interactions that are difficult to capture analytically. In this talk, we present a rigorous justification of these dynamics for the 3D incompressible Euler equations. We consider a general class of initial data corresponding to N sharply concentrated coaxial vortex rings and prove that the leapfrogging motion persists on a logarithmic time scale. The core of the analysis requires new estimates to propagate the concentration of vorticity despite the singular mutual interactions required for the phenomenon to occur. Joint work with M. Donati, C. Lacave, and E. Miot. ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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