Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, November 23, 2023, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Patrick Schnider

Cutting cookies: bisections with similar copies

Imagine you have a dough consisting of three ingredients. You want to distribute this fairly with your friend, meaning that both of you should get exactly half of each ingredient. The dough is flexible in the sense that you can scale, rotate and flip it, but the only cutting device you have at hand is a cookie cutter. Can you always find a scaling of the dough such that you can divide it fairly using the cookie cutter? Previously, it was known that the answer is yes if the cookie cutter has the shape of the circle. In this talk I will show that you can do this for a much larger class of cookie cutter shapes. This talk is based on joint work with Pablo Soberon.

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