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SUMMARY:Heat trace asymptotics for domains with corners - David Sher (DePa
 ul University)
DTSTART:20260325T101500Z
DTEND:20260325T111500Z
UID:TALK241138@talks.cam.ac.uk
DESCRIPTION:I will discuss the short-time asymptotics of the heat trace on
  two-dimensional bounded domains with corners\, either in Euclidean space 
 or in a closed surface. We consider Dirichlet\, Neumann\, and Robin bounda
 ry conditions as well as mixed problems. Of particular interest is the cas
 e where the boundaries have nontrivial curvature all the way down to the c
 orner. The interaction of curvature and corners produces some interesting 
 phenomena that are reflected in the heat trace asymptotics and\, therefore
 \, in the Laplace spectrum. The results in this talk are joint with variou
 s combinations of Sam Looi (Caltech)\, Medet Nursultanov (Helsinki)\, and 
 Julie Rowlett (Gothenburg).
LOCATION:Seminar Room 1\, Newton Institute
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