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UID:20251223T172618EST-4140JdPlOI@132.216.98.100
DTSTAMP:20251223T222618Z
DESCRIPTION:Title: The Dirichlet heat trace for domains with curved corners
 \n\nAbstract: Consider the heat problem with Dirichlet boundary conditions
  on a curvilinear polygon in the plane. We examine the short-time asymptot
 ic expansion of the associated heat trace\, focusing on the interaction be
 tween the curvature of the boundary and the corners of the domain. The coe
 fficients of this expansion are well-understood in the case where the curv
 ilinear polygon has ``straight corners'\, that is\, where each corner is l
 ocally isometric to the tip of a Euclidean sector. In the setting where th
 e curvature is nontrivial all the way down to a corner\, much less is know
 n. In this talk\, I will explain why the interaction of the curvature and 
 corner does contribute to the heat trace expansion\, characterize the form
  of this contribution\, and compute it explicitly in a special case. This 
 is joint work with Sam Looi (Caltech).\n\nHybrid seminar at UdeM\, Pavillo
 n André-Aisenstadt\, room 5183\n\nJoin Zoom Meeting\n\nhttps://umontreal.z
 oom.us/j/89528730384?pwd=IF10Cg8C0YfogaBlL6F1NboPaQvAaV.1\n\nMeeting ID: 8
 95 2873 0384\n\nPasscode: 077937\n
DTSTART:20251212T191500Z
DTEND:20251212T201500Z
SUMMARY:David Sher (DePaul University)
URL:/mathstat/channels/event/david-sher-depaul-univers
 ity-369729
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