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

**Time: **
Fri 2019-09-27 13.00 - 14.00

**Lecturer: **
Alvin Jin

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

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

solutions.