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DTSTART;TZID=America/Toronto:20250403T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-199
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:AMANDA WILKENS\, CARNEGIE MELLON UNIVERSITY\n\nPoisson–Vorono
 i tessellations and fixed price in higher rank\n\nWe briefly define and mo
 tivate the Poisson point process\, which is\,\ninformally\, a \"maximally 
 random\" scattering of points in space\, and\ndiscuss the ideal Poisson–
 Voronoi tessellation (IPVT)\, a new random\nobject with intriguing geometr
 ic properties when considered on a\nsemisimple symmetric space (the hyperb
 olic plane\, for example). In\njoint work with Mikolaj Fraczyk and Sam Mel
 lick\, we use the IPVT to\nprove a result on the relationship between the 
 volume of a manifold\nand the number of generators of its fundamental grou
 p. We give some\nintuition for the proof. No prior knowledge on fixed pric
 e or higher\nrank will be assumed.\n\nMC 5417
DTSTAMP:20260504T161420Z
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