Type: Seminar

Distribution: World

Expiry: 29 Jul 2009

Auth: garethw@asti.maths.usyd.edu.au

Hello everyone, I hope you all had an enjoyable holidays. Our most recent speaker from last semester, Stewart Wilcox, is leaving for America next week, and would like to give one more talk before he returns to Harvard. This one will be based on something that he has looked at for quite a long time, the Swimming Pool Problem: Consider a square swimming pool with Student A in the middle, and Student B standing on a corner. B can run k times as fast as A can swim, but A can run faster than B, and B can’t swim. What is the largest possible value of k such that student A can escape from the pool without getting caught by B? How would a circular pool change the problem? People such as Terry Tao have looked at this problem so I’m sure it will be interesting to see Stewart discuss, and in particular show the solution! Most importantly though, we have a change of venue this semester. This time we will be in room 350, which is almost directly below the room that we were in for the first half of the year. The time and day will remain the same, so I hope nobody gets too lost and we all see you there on Wednesday! Talk: The Swimming Pool Problem Speaker: Stewart Wilcox Location: Carslaw 350 Date/Time: Wednesday, 29 July, 1-2pm

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