Carə tuttə,
Vi annuncio il prossimo seminario MAP:
--> *Speaker:* Mattia Freguglia (Scuola Normale Superiore di Pisa)
--> *Data:* Mercoledì 17 Maggio, ore 11
--> *Dove:* Aula Seminari del Dipartimento di Matematica (Pisa) e Online su Gmeet: Mattia Freguglia (seminarimap.wixsite.com) https://seminarimap.wixsite.com/seminarimap/articoli/mattia-freguglia
--> *Titolo:* *Diffuse approximation of the Willmore functional and a conjecture of De Giorgi*
--> *Abstract:* *In the last thirty years, there has been a growing interest in geometric energies, as for example the Perimeter functional or the Willmore functional. Some relevant problems regard the study of the associated geometric flows and the existence of critical points of suitable types. These questions are usually difficult to answer and sometimes it is useful to approximate the original functionals by simpler ones. The first part of the seminar will be very introductory, we will recall the definition of Gamma-convergence and its main consequences to state precisely what we mean by approximation. Moreover, we will briefly review the celebrated approximation of the Perimeter functional by means of the Modica-Mortola functionals. In the second part we shall discuss a conjecture of De Giorgi, dating back to 1991, where he proposed a possible approximation of the Willmore functional based on the first variation of the Modica-Mortola functionals. We will outline some of the most relevant contributions originated from this conjecture over time. Finally, we present a recent result obtained in collaboration with G. Bellettini and N. Picenni where we give a negative answer to the original conjecture.*
Ricordiamo che questi seminari sono aperti a tuttə: la prima metà del seminario introduce i concetti e gli strumenti necessari per la seconda metà, dedicata agli argomenti di ricerca.
Per altre informazioni, visitate il nostro sito: https://seminarimap.wixsite.com/seminarimap
A presto,
Gli organizzatori: Daniele Barbera Jeremy Mirmina Mario Rastrelli Leonardo Roveri Luciano Sciaraffia
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English Version <<<
Dear all,
Here the announcement of the next MAP seminar:
--> *Speaker: *Mattia Freguglia (Scuola Normale Superiore di Pisa)
--> *Date: *Wednesday 17th May, 11:00
--> *Where:* Aula Seminari, Dipartimento di Matematica (Pisa) and Online on Gmeet: Mattia Freguglia (seminarimap.wixsite.com) https://seminarimap.wixsite.com/seminarimap/articoli/mattia-freguglia
--> *Title: **Diffuse approximation of the Willmore functional and a conjecture of De Giorgi*
--> *Abstract: **In the last thirty years, there has been a growing interest in geometric energies, as for example the Perimeter functional or the Willmore functional. Some relevant problems regard the study of the associated geometric flows and the existence of critical points of suitable types. These questions are usually difficult to answer and sometimes it is useful to approximate the original functionals by simpler ones. The first part of the seminar will be very introductory, we will recall the definition of Gamma-convergence and its main consequences to state precisely what we mean by approximation. Moreover, we will briefly review the celebrated approximation of the Perimeter functional by means of the Modica-Mortola functionals. In the second part we shall discuss a conjecture of De Giorgi, dating back to 1991, where he proposed a possible approximation of the Willmore functional based on the first variation of the Modica-Mortola functionals. We will outline some of the most relevant contributions originated from this conjecture over time. Finally, we present a recent result obtained in collaboration with G. Bellettini and N. Picenni where we give a negative answer to the original conjecture.*
We remind that these seminars are addressed to everybody: the first half of the seminar is dedicated to the introduction of notions and tools needed in the second half, which is focused on research topics.
For more information, check our website:
https://seminarimap.wixsite.com/seminarimap
See you soon,
The organizers: Daniele Barbera Jeremy Mirmina Mario Rastrelli Leonardo Roveri Luciano Sciaraffia
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