Professor Lior Fishman invites you to attend the Master's Project Defense of Mercedes Byberg

WHEN: Friday, April 1, 2022 at 3:00pm in GAB 461

"The Banach - Tarski Paradox"

Abstract:

The Banach-Tarski Paradox is a theorem which states that a solid-ball in 3-dimensional space can be partitioned into a finite number of pieces, which can then be reassembled using only rigid motions to form two identical copies of the original ball. In this talk we will first discuss a paradoxical decomposition of the free group on two generators, a and b. We will then use a similar strategy to prove the Banach-Tarski paradox on the unit sphere.

Cookies and coffee will be served in GAB 472 following this event.