- Analysis-seminar - Mailing list — Dipartimento di Matematica, UniPI

Reminder seminari domani (9 maggio)
by Ilaria Lucardesi 08 May '24

08 May '24

Care tutte, cari tutti, vi ricordiamo il seminario di domani: Annalisa Massaccesi (Università di Padova),<https://www.dm.unipi.it/en/seminar/?id=662981ff25ce23c048c43fb8> alle ore 17 (+ merenda alle 16:45), in Aula Magna. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of tomorrow: Annalisa Massaccesi (Università di Padova),<https://www.dm.unipi.it/en/seminar/?id=662981ff25ce23c048c43fb8> at 5PM (+ snack at 4:45PM), Aula Magna. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 9 maggio
by Ilaria Lucardesi 03 May '24

03 May '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 9 maggio alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Annalisa Massaccesi (Università di Padova), che terrà un seminario <https://www.dm.unipi.it/seminario/?id=662981ff25ce23c048c43fb8> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> dal titolo “Recent developments on the Besicovitch's 1/2 problem ”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Thursday May 9th at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Annalisa Massaccesi (Università di Padova). The title of the talk <https://www.dm.unipi.it/seminario/?id=662981ff25ce23c048c43fb8> <https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> is “Recent developments on the Besicovitch's 1/2 problem ”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:45 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Annalisa Massaccesi (Università di Padova) Title: Recent developments on the Besicovitch's 1/2 problem Abstract: The Besicovitch's 1/2 problem problem investigates the smallest threshold 𝜎 guaranteeing rectifiability for a set with Hausdorff 1-dimensional finite measure when the lower density of the set is larger than 𝜎 almost everywhere. Besicovitch conjectured that 𝜎 = 1/2 (hence the name of the problem) and proved 𝜎 ≤ 3/4, then Preiss and Tišer improved the bound to 𝜎≤ (2+\sqrt{46})/12 ∼ 0.73186... In a recent work in collaboration with C. De Lellis, F. Glaudo and D. Vittone, we devised a strategy to improve the bound by means of a hierarchy of variational problems and we reach a proof that 𝜎≤0.7. In this seminar, I will try to explain the fairly intuitive geometric idea behind this strategy and I will try to summarize both the computational obstacles and the intrinsic obstacles that are still in the way.

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Annuncio seminari 29 aprile e 2 maggio
by Ilaria Lucardesi 02 May '24

02 May '24

Care tutte, cari tutti, la prossima settimana avremo due seminari di Analisi: lunedì 29 aprile, alle ore 17:30 (+ merenda post-seminario) in aula seminari, avremo il piacere di ascoltare Luca Lussardi (Polito), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=66013124282479bbfbbaaac1> dal titolo “Nematic soap films”; giovedì 2 maggio, alle ore 17 (+ merenda alle 16:45), in aula riunioni, avremo il piacere di ascoltare Giacomo Del Nin (Max-Planck-Institut, Lipsia), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=662778461ab535c3c8d5fa0c> dai titolo "BMO-type seminorms and local Poincaré constants for BV functions". Trovate qui sotto i due abstract. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, next week, for the Mathematical Analysis Seminar, there will be two seminars: on Monday 29th April at 5:30PM (+ snack after the seminar), in "Aula Seminari", we will have the pleasure of listening to Luca Lussardi (PoliTo). The title of the talk <https://www.dm.unipi.it/en/seminar/?id=66013124282479bbfbbaaac1> <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> <https://www.dm.unipi.it/en/seminar/?id=66013124282479bbfbbaaac1> is "Nematic soap films"; on Thursday 2nd May at 5PM (+ snack at 4:45PM), in "Aula Riunioni", we will have the pleasure of listening to Giacomo Del Nin (Max-Planck-Institut, Leipzig) . The title of the talk<https://www.dm.unipi.it/en/seminar/?id=662778461ab535c3c8d5fa0c> <https://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2> <https://www.dm.unipi.it/en/seminar/?id=662778461ab535c3c8d5fa0c> is "BMO-type seminorms and local Poincaré constants for BV functions". Please find below the abstracts. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Luca Lussardi (PoliTo) Title: Nematic soap films Abstract: Nematic films are thin fluid structures, ideally two dimensional, endowed with an in-plane degenerate nematic order. Some variational models for nematic films have been introduced by Giomi in 2012 and by Napoli and Vergori in 2018. At equilibrium, the shape of the nematic film results from the competition between surface tension, which favors the minimization of the area, and the nematic elasticity, which instead promotes the alignment of the molecules along a common direction. The main difference between the two mentioned approaches is the way to compute the surface derivative of the nematic vector field. In this seminar I will briefly describe the models and I will present some recent analytical results obtained in collaboration with Giulia Bevilacqua, Chiara Lonati and Alfredo Marzocchi. Speaker: Giacomo Del Nin (Max-Planck-Institut, Lipsia) Title: BMO-type seminorms and local Poincaré constants for BV functions Abstract: In 2015 Bourgain, Brezis, and Mironescu introduced a class of BMO-type functionals that measure the oscillation of a function on a family of disjoint ϵ-cubes. These functionals turned out to be related to the total variation of the function, and over the years several authors have addressed the problem of finding an expression for their limit as ϵ goes to zero. Thanks to the work of many, we now know that for SBV functions the limit exists and coincides with 1/2 times the jump variation plus 1/4 times the absolutely continuous variation. However, for BV functions with a non-trivial Cantor part, the limit might not exist. In this talk I will present a natural relaxation of these functionals that enforces the existence of the limit for any BV function. I will show that this limit is related to a quantity that we introduce, the local Poincarè constant of the function, and I will discuss some challenging open questions. This result is based on a project with Adolfo Arroyo-Rabasa (Bonn) and Paolo Bonicatto (Trento).

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Reminder seminario domani (24 aprile)
by Ilaria Lucardesi 23 Apr '24

23 Apr '24

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> di domani, mercoledì 24 aprile, alle ore 17 in Aula Riunioni, di Francesca Tripaldi (SNS). Il seminario sarà preceduto da una piccola merenda alle 16:45 nella stessa aula. I prossimi seminari saranno di Luca Lussardi (PoliTO) lunedì 29 e Giacomo Del Nin (Max Planck Institute, Lipsia) giovedì 2 maggio. A domani, Ilaria Lucardesi e Luigi Forcella -------- Dear all, we would like to remind you of the seminar<https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> of tomorrow, April 24th, at 5PM, in Aula Riunioni, by Francesca Tripaldi (SNS). The seminar will be preceded by a small snack at 4:45PM in the same room. The next seminars will be by Luca Lussardi (PoliTO) on Monday April 29th and by Giacomo Del Nin (Max Planck Institute, Leipzig) on Thursday May 2nd. See you tomorrow, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 24 aprile
by Ilaria Lucardesi 20 Apr '24

20 Apr '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, mercoledì 24 aprile alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Francesca Tripaldi (SNS), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> dal titolo “A review of subcomplexes on nilpotent Lie groups”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Wednesday 24th April at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Francesca Tripladi (SNS). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> <https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> is “A review of subcomplexes on nilpotent Lie groups”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:45 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Francesca Tripladi (SNS) Title: A review of subcomplexes on nilpotent Lie groups Abstract: Carnot groups are stratifiable nilpotent Lie groups equipped with a subRiemannian metric. They are the easiest examples of subRiemannian manifolds. I will give an overview of the properties of the de Rham complex on Carnot groups, and show how such properties give rise to subcomplexes that are better adapted to the noncommutativity of this geometric setting.

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Reminder seminari della settimana
by Ilaria Lucardesi 15 Apr '24

15 Apr '24

Care tutti, cari tutti, vi ricordiamo i tre eventi di questa settimana per il ciclo dei seminari di Analisi: Georgiadis <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (KAUST) martedì 16 alle 17 in Aula Seminari; D'Avenia <https://www.dm.unipi.it/en/seminar/?id=6602f975282479bbfbbb1f65> (PoliBari) mercoledì 17 alle 17:30 in Aula Seminari; Kausamo <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (UniFi) giovedì 18 alle 17 + merenda alle 16:45 in Aula Riunioni. A presto, Ilaria Lucardesi e Luigi Forcella ----- Dear all, we remind you of the three events of this week for the Analysis Seminar: Georgiadis <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (KAUST) tuesday 16th at 5PM in "Aula Seminari"; D'Avenia <https://www.dm.unipi.it/en/seminar/?id=6602f975282479bbfbbb1f65> (PoliBari) wednesday 17th at 5:30PM in "Aula Seminari"; Kausamo <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (UniFi) thursday 18th at 5PM (+ snack at 4:45PM) in "Aula Riunioni". See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 17 aprile
by Ilaria Lucardesi 12 Apr '24

12 Apr '24

Buongiorno, segnaliamo da parte di Marco Ghimenti il seminario "Between Maxwell and Born–Infeld" che sarà tenuto da Pietro D'Avenia (Politecnico di Bari) il prossimo 17 aprile alle 17:30 in Aula Seminari. Riportiamo qui sotto l'abstract. A presto, Ilaria Lucardesi e Luigi Forcella -------- Speaker: Pietro D'Avenia (Politecnico di Bari) Title: Between Maxwell and Born–Infeld Abstract: We present some recent results on a model of electromagnetic theory obtained from a Lagrangian density Lq, depending on the parameter q. For q = 1, Lq corresponds to the Born–Infeld Lagrangian density and, for q = 2, it restores the Maxwell one.

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Annuncio seminari 16 e 18 aprile
by Ilaria Lucardesi 12 Apr '24

12 Apr '24

Care tutte, cari tutti, la prossima settimana, per il ciclo dei Seminari di Analisi, ci saranno due eventi: martedì 16 aprile, alle ore 17:00 in Aula Seminari, avremo il piacere di ascoltare Stefanos Georgiadis (KAUST), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> dal titolo "Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system"; giovedì 18 aprile, alle ore 17:00 (+ merenda alle 16:45) in Aula Riunioni, avremo il piacere di ascoltare Anna Kausamo (Università degli Studi di Firenze), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2> dal titolo "The sufficiency of c-cyclical monotonicity for the optimality of transport plans". Trovate qui sotto gli abstract. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, next week, for the Mathematical Analysis Seminar, there will be two seminars: on Tuesday 16th April at 5PM, in "Aula Seminari", we will have the pleasure of listening to Stefanos Georgiadis (KAUST). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> is "Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system"; on Thursday 18th April at 5PM (+ snack at 4:45PM), in "Aula Riunioni", we will have the pleasure of listening to Anna Kausamo (Università degli Studi di Firenze). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2> is "The sufficiency of c-cyclical monotonicity for the optimality of transport plans". Please find below the two abstracts. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Stefanos Georgiadis (KAUST) Title: Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system Abstract: Cross-diffusion systems are strongly coupled parabolic systems describing phenomena in which multiple species diffuse and interact with one another, e.g. in fluid mechanics or population dynamics. Although many methods have been developed to study existence of weak solutions to such systems, uniqueness is in general an open problem. To this degree, we study a particular cross-diffusion system, known as the Maxwell-Stefan system which describes diffusive phenomena in a multicomponent system of gases. We employ renormalized solutions and give conditions under which such solutions are unique. We, then, study the relation between weak and renormalized solutions, allowing us to identify conditions that guarantee uniqueness of weak solutions. The proof is based on an identity for the evolution of the symmetrized relative entropy. Using the method of doubling the variables we derive the identity for two renormalized solutions and use information on the spectrum of the Maxwell-Stefan matrix to estimate the symmetrized relative entropy and show uniqueness. ********** Speaker: Anna Kausamo (Univ. Firenze) Title: The sufficiency of c-cyclical monotonicity for the optimality of transport plans Abstract: c-cyclical monotonicity is the most important optimality condition of a transport plan. In this talk I will present a Gamma-convergence-based strategy, developed by myself and Luigi De Pascale, to prove the sufficiency of cyclical monotonicity for optimality in the multi-marginal $L^\infty$-optimal transport case that had previously been elusive.

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Reminder workshop domani
by Ilaria Lucardesi 10 Apr '24

10 Apr '24

Care tutte, cari tutti, inoltriamo il reminder da parte degli organizzatori Roberto Ognibene, Giorgio Tortone e Bozhidar Velichkov: Domani giovedì 11 alle 15:00 inizierà in Aula Magna il workshop <http://www.velichkov.it/workshop-CVFBP-8.html> “Calculus of Variations and Free Boundary Problems VIII”. La seconda sessione del workshop inizierà venerdì 12 alle 9:30. A presto, Ilaria Lucardesi e Luigi Forcella ---------- Dear all, from Roberto Ognibene, Giorgio Tortone, and Bozhidar Velichkov, we forward the following reminder: Tomorrow Thursday 11th at 3PM will start, in Aula Magna, the workshop<http://www.velichkov.it/workshop-CVFBP-8.html> "Calculus of Variations and Free Boundary Problems VIII". The second session will start on Friday 12th at 9:30AM, in Aula Magna. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio workshop e reminder seminario (domani)
by Ilaria Lucardesi 03 Apr '24

03 Apr '24

Care tutte, cari tutti, da parte di Roberto Ognibene, Giorgio Tortone e Bozhidar Velichkov inoltriamo l'annuncio del workshop “Calculus of Variations and Free Boundary Problems VIII” che si terrà giovedì 11 e venerdì 12 aprile in Aula Magna. Sito Workshop: http://www.velichkov.it/workshop-CVFBP-8.html Vi ricordiamo inoltre il seminario<https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> di domani, giovedì 4 aprile alle ore 17 in Aula Riunioni (+ merenda alle 16:45) di Andrea Pinamonti (Università degli Studi di Trento). A presto, Ilaria Lucardesi e Luigi Forcella -------------------------------------------- Dear all, from Roberto Ognibene, Giorgio Tortone, and Bozhidar Velichkov, we forward the announcement of the workshop "Calculus of Variations and Free Boundary Problems VIII" which will take place in Aula Magna, next week, from Thursady 11th to Friday 12th. Website: http://www.velichkov.it/workshop-CVFBP-8.html We also remind you the seminar<https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> by Andrea Pinamonti (Università degli Studi di Trento), tomorrow Thursday 4th at 5:00 PM (+ snack at 4:45PM) in "Aula Riunioni". See you soon, Ilaria Lucardesi and Luigi Forcella

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