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
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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
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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.