Care tutte, cari tutti, la prossima settimana, nell’ambito del ciclo Seminari di Analisi, avremo il piacere di ascoltare Nicola Picenni (Università di Pisa...ancora per poco!), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> <https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> dal titolo “A notion of fractional area in codimension 2”. Il seminario si terrà martedì 23 giugno alle ore 16:30, in Saletta Riunioni. Trovate l’abstract qui sotto. A presto, Ilaria ----------------------------------- Dear all, next week, as part of the Analysis Seminar Series, we will have the pleasure of listening to Nicola Picenni (Università di Pisa...but not for much longer!), who will give a talk<https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> <https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> titled “A notion of fractional area in codimension 2”. The seminar will take place on Tuesday, june 23, at 4:30 PM, in Saletta Riunioni. You will find the abstract below. See you soon, Ilaria ----------------------------------- Speaker: Nicola Picenni (Università di Pisa) Title: A notion of fractional area in codimension 2 Abstract: We consider a notion of fractional s-area for codimension 2 surfaces in a closed Riemannian manifold or the Euclidean space, which can be seen as an extension of the fractional perimeter to higher codimension. The definition involves a minimum problem over a class of circle-valued maps having prescribed singularities on the given surface. We discuss various properties of the s-area when s is fixed, including some regularity properties of the minimizer (which might be of independent interest). We also show that when s tends to 1 the s-area Gamma-converges, with coercivity, to the classical area in the framework of currents. The talk is based on a joint project with Michele Caselli and Mattia Freguglia.