Question
William Thurston’s earthquake theorem states that there is an earthquake map between any two points in this space. For 10 points each:
[10h] Name this space containing the marked Riemann surface structures up to isotopy on a closed, orientable surface.
ANSWER: Teichmüller space [prompt on T]
[10m] Shinichi Mochizuki used inter-universal Teichmüller theory for a purported proof of this conjecture. It holds that the sum of two coprime integers is almost always less than the radical of the product of the two integers and their sum, all to the power one plus epsilon, for any positive epsilon.
ANSWER: abc conjecture [accept Oesterlé–Masser conjecture]
[10e] If true, an “effective” version of the abc conjecture would imply this theorem for all but finitely many exponents. This theorem was first proven by Andrew Wiles in 1995.
ANSWER: Fermat’s last theorem
<Other Science>
Summary
| 2024 ACF Nationals | 2024-04-21 | Y | 23 | 16.09 | 100% | 61% | 0% |
Data
| Berkeley A | Michigan | 0 | 10 | 10 | 20 |
| Florida | Berkeley B | 0 | 0 | 10 | 10 |
| Columbia A | Brown | 0 | 10 | 10 | 20 |
| Chicago D | Toronto B | 0 | 10 | 10 | 20 |
| Ottawa | Claremont Colleges | 0 | 0 | 10 | 10 |
| Cornell A | Columbia B | 0 | 10 | 10 | 20 |
| Chicago A | Cornell B | 0 | 10 | 10 | 20 |
| Georgia Tech | South Carolina | 0 | 10 | 10 | 20 |
| WUSTL A | Harvard | 0 | 0 | 10 | 10 |
| Illinois | McGill | 0 | 10 | 10 | 20 |
| Virginia | Iowa State | 0 | 0 | 10 | 10 |
| Minnesota B | Johns Hopkins | 0 | 10 | 10 | 20 |
| Indiana | Kentucky | 0 | 10 | 10 | 20 |
| NYU | Chicago B | 0 | 0 | 10 | 10 |
| North Carolina B | Waterloo | 0 | 10 | 10 | 20 |
| Northwestern | Maryland | 0 | 0 | 10 | 10 |
| Penn | Yale B | 0 | 0 | 10 | 10 |
| Rutgers | Duke | 0 | 0 | 10 | 10 |
| Stanford | Truman State | 0 | 10 | 10 | 20 |
| Yale A | Texas | 0 | 10 | 10 | 20 |
| North Carolina A | Toronto A | 0 | 10 | 10 | 20 |
| Purdue | Vanderbilt | 0 | 0 | 10 | 10 |
| Arizona State | WUSTL B | 0 | 10 | 10 | 20 |