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SUMMARY:Henrik Matthiesen (University of Chicago)
DTSTART:20201103T181500Z
DTEND:20201103T191500Z
DTSTAMP:20260423T035032Z
UID:OSGA/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/44/">Ne
 w minimal surfaces from shape optimization</a>\nby Henrik Matthiesen (Univ
 ersity of Chicago) as part of Online Seminar "Geometric Analysis"\n\n\nAbs
 tract\nI will discuss the connection between sharp eigenvalue bounds and m
 inimal surfaces in two cases:\nThe first eigenvalue of the Laplacian on a 
 closed surface among unit area metrics\, and\nthe first Steklov eigenvalue
  on a compact surface with non empty boundary among metrics with unit leng
 th boundary.\nIn both cases maximizing metrics - if they exist - are induc
 ed by certain minimal immersions.\nMore precisely\, minimal immersions int
 o round spheres for the closed case and free boundary minimal immersions i
 nto Euclidean balls in the bordered case.\nI will discuss the solution of 
 the existence problem for maximizers in both these cases\, which provides 
 many new examples of minimal surfaces of the aforementioned types.\nThis i
 s based on joint work with Anna Siffert in the closed case and Romain Petr
 ides in the bordered case.\n
LOCATION:https://researchseminars.org/talk/OSGA/44/
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