Joint Graduate Student ColloquiumExport this event to calendar

Thursday, October 25, 2018 — 4:00 PM EDT

John Sawatzky, Department of Pure Mathematics, University of Waterloo

"The Banach-Tarski Paradox"

A famous theorem of Banach and Tarski states that a sphere can be cut into finitely many pieces that can be rearranged into two identical copies of the original sphere. This result, known as the Banach-Tarski paradox because of its unintuitive nature, has become very well-known in popular mathematics circles in recent years. In this talk we will work through a proof similar to Banach and Tarski's original argument with an emphasis on the importance of the usage of the axiom of choice in the proof.

MC 2054

S M T W T F S
27
28
29
30
31
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
  1. 2019 (185)
    1. December (1)
    2. November (18)
    3. October (19)
    4. September (13)
    5. August (7)
    6. July (12)
    7. June (18)
    8. May (22)
    9. April (11)
    10. March (25)
    11. February (17)
    12. January (22)
  2. 2018 (219)
    1. December (2)
    2. November (32)
    3. October (27)
    4. September (26)
    5. August (4)
    6. July (9)
    7. June (13)
    8. May (17)
    9. April (13)
    10. March (28)
    11. February (27)
    12. January (21)
  3. 2017 (281)
  4. 2016 (335)
  5. 2015 (209)
  6. 2014 (235)
  7. 2013 (251)
  8. 2012 (135)