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Alvin Jin: Topological data analysis and the pursuit-evasion problem

Time: Fri 2019-09-27 13.00 - 14.00

Location: Room 3418, Lindstedtsvägen 25, 4th floor, Department of Mathematics, KTH

Participating: Alvin Jin

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Can a mall-robber run from a store to the entrance of the mall without being detected by
security guards? If the answer is yes, we say that an evasion path exists. The problem of
finding an evasion problem can be formulated in mathematical terms: given a finite collection
of continuously moving sensors such that each sensor can detect objects around itself, can
a robber escape without being detected for a specified period of time? In this talk, we will
describe the topological tools that arise in studying such a problem as well as some partial