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DTSTART:20240310T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250113T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20250113T153000
URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-department-collo
 quium-3
SUMMARY:Pure Math Department Colloquium
CLASS:PUBLIC
DESCRIPTION:ALMUT BURCHARD\, UNIVERSITY OF TORONTO\n\nOn spatial monotonici
 ty of heat kernels\n\nThe heat kernel on a manifold contains a wealth of g
 lobal geometric\ninformation about the underlying space. It is of central 
 importance\nfor partial differential equations (describing diffusion of a 
 unit of\nheat released from a point through the space) and for probability
 \n(giving the transition densities for Brownian motion).\n\nOn flat n-dime
 nsional space\, the heat kernel K_t(x\,y) decreases with\nthe distance bet
 ween the points x and y (that is\, temperature\ndecreases as we move away 
 from the heat source)\; the same is true on\nthe sphere. Does the heat ker
 nel on different Riemannian manifolds\nhave similar properties?  In gener
 al\, the answer is \"No!\" ... except\nsometimes ...\n\nMC 5501\n\nRefresh
 ments available at 3:30pm
DTSTAMP:20260504T224335Z
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