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UID:news1856@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250415T155930
DTSTART;TZID=Europe/Zurich:20250507T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Mattia Freguglia (Scuola
  Normale Superiore di Pisa)
DESCRIPTION:In this seminar\, we will introduce\, for any $s\\in (0\,1)$\, 
 a notion of s-fractional volume on closed\, oriented\, codimension-two sur
 faces in Euclidean space. We will then show that this quantity Gamma-conve
 rges\, with respect to the flat distance\, and converges pointwise to the 
 codimension-two Hausdorff measure\, as s goes to 1. In particular\, we wi
 ll see how this fractional volume can be interpreted as the codimension-tw
 o analogue of the well-established notion of fractional perimeter. If tim
 e permits\, we will discuss a possible generalization of this definition t
 o higher codimension\, along with some (equi)compactness properties relate
 d to these fractional volumes. Based on a joint project with Michele Casel
 li and Nicola Picenni.
X-ALT-DESC:<p>In this seminar\, we will introduce\, for any $s\\in (0\,1)$\
 , a notion of s-fractional volume on closed\, oriented\, codimension-two s
 urfaces in Euclidean space. We will then show that this quantity Gamma-con
 verges\, with respect to the flat distance\, and converges pointwise to th
 e codimension-two Hausdorff measure\, as s goes to 1.&nbsp\;In particular\
 , we will see how this fractional volume can be interpreted as the codimen
 sion-two analogue of the well-established notion of fractional perimeter.&
 nbsp\;If time permits\, we will discuss a possible generalization of this 
 definition to higher codimension\, along with some (equi)compactness prope
 rties related to these fractional volumes. Based on a joint project with M
 ichele Caselli and Nicola Picenni.</p>
DTEND;TZID=Europe/Zurich:20250507T160000
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