Care tutte, cari tutti,

per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 20 marzo alle 17 in Aula Magna, avremo il piacere di ascoltare Roberto Ognibene (Università di Pisa), che terrà un seminariohttps://www.dm.unipi.it/seminario/?id=67ce9e1d20d73a92fb7b20f7 dal titolo "Regularity and singularities in optimal partition problems". Trovate l'abstract qui sotto.

Dopo il seminario non scappate! Roberto porterà dei pasticcini per salutarci.

A presto, Ilaria Lucardesi e Luigi Forcella

----------------------------------- Dear all, on Thursday March 20th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Roberto Ognibene (Università di Pisa). The title of the talkhttps://www.dm.unipi.it/seminario/?id=67ce9e1d20d73a92fb7b20f7 is "Regularity and singularities in optimal partition problems". Please find the abstract below.

After the seminar, don't run away! Roberto will bring some pastries to say goodbye.

See you soon, Ilaria Lucardesi and Luigi Forcella

-----------------------------------

Speaker: Roberto Ognibene (Università di Pisa)

Title: Regularity and singularities in optimal partition problems

Abstract: In this talk, we discuss regularity properties of minimal segregated configurations, defined as vector valued functions with the property that, for each point in the domain, at most one component is non-zero, and that minimize the corresponding Dirichlet energy. We first introduce the topic, emphasizing the connections with shape optimization problems (optimal partitions) and harmonic maps with values into singular spaces. Then, we introduce the notion of free boundary, we review some known results about its regularity and geometrical structure (mainly focusing on the seminal works by Gromov-Schoen, Conti-Terracini-Verzini and Caffarelli-Lin) and we finally describe recent results obtained in collaboration with B. Velichkov.