BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//TYPO3/NONSGML Calendarize//EN
BEGIN:VEVENT
UID:calendarize-free-boundary-minimal-surfaces-in-the-unit-ball-dr-mario-s
chulz
DTSTAMP:20241107T160137Z
DTSTART:20231123T160000Z
DTEND:20231122T230000Z
SUMMARY:Free boundary minimal surfaces in the unit ball. Dr. Mario Schulz
DESCRIPTION:Minimal surfaces have intrigued scientists for centuries due t
o their geometric significance and profound impact on the evolution of mat
hematical thought. Free boundary minimal surfaces are critical points of t
he area functional under a Neumann boundary condition\, allowing the bound
ary of the surface to move freely on a given support. Consequently\, they
intersect the given constraint surface orthogonally along their boundary.
Such surfaces naturally emerge in the study of fluid interfaces and capill
ary phenomena. Even in very simple ambient manifolds\, many fundamental qu
estions remain open: Can a surface of any given topology be realised as an
embedded free boundary minimal surface in the 3-dimensional Euclidean uni
t ball? When they exist\, are such embeddings unique up to ambient isometr
y? By exploring these questions\, we aim to provide an overview over recen
t results and showcase various examples. (Based on joint works with Alessa
ndro Carlotto\, Giada Franz and David Wiygul)
X-ALT-DESC;FMTTYPE=text/html:Minimal surfaces have intrigued scientists
for centuries due to their geometric significance and profound impact on
the evolution of mathematical thought. Free boundary minimal surfaces are
critical points of the area functional under a Neumann boundary condition\
, allowing the boundary of the surface to move freely on a given support.
Consequently\, they intersect the given constraint surface orthogonally al
ong their boundary. Such surfaces naturally emerge in the study of fluid i
nterfaces and capillary phenomena. Even in very simple ambient manifolds\,
many fundamental questions remain open: Can a surface of any given topolo
gy be realised as an embedded free boundary minimal surface in the 3-dimen
sional Euclidean unit ball? When they exist\, are such embeddings unique u
p to ambient isometry? By exploring these questions\, we aim to provide an
overview over recent results and showcase various examples. (Based on joi
nt works with Alessandro Carlotto\, Giada Franz and David Wiygul)

LOCATION:G201
END:VEVENT
END:VCALENDAR