Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, December 06, 2018, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Sergey Avvakumov (IST Austria)

Convex fair partitions into an arbitrary number of pieces

Any convex body in the plane can be partitioned into m convex parts of equal areas and perimeters for any integer m ≥ 2.

This result was previously known only for prime powers m = p^k.
I'll sketch the proof for m = p^k and explain some of the ideas of the general proof using the first non prime power m = 6 as an example.

Joint work with Arseniy Akopyan and Roman Karasev.

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