Massachusetts Institute of Technology
"If it quacks like a sphere" : the million dollar problem
Abstract
dc:description.abstractGrigori Perelman, a reclusive Russian mathematician, may have proved the Poincare Conjecture, a statement first poised by Jules Henri Poincare in 1902. The problem is the most eminent challenge in the mathematical field of topology. Perelman posted his proof on the online informal preprint server at arXiv.org. His proof leaves a number of details unexplained. Although he initially participated in the verification of his proof, answering questions to help people understand his work, in the last year Perelman has effectively disappeared from the mathematical community. His absence has caused some controversy in the world of mathematics, where individual mathematicians are usually expected to support their own results. In the wake of his disappearance, other mathematicians are coming together to pore over his work and try to flesh out the details. His apparent desertion raises questions both about the personal risk of mathematicians working at the highest level and the responsibility of the mathematical community in the verification process.
Degree
thesis:*- Department dc:contributor.department
- Massachusetts Institute of Technology. Graduate Program in Science Writing
- Grantor dc:publisher
- Massachusetts Institute of Technology
- Year dc:date.issued
- 2006
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Ornes, Stephen
- Advisor dc:contributor.advisor
-
- Thomas Levenson.
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
- Licence dc:rights.uri
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/1721.1/39443
- OAI identifier oai:identifier
- oai:dspace.mit.edu:1721.1/39443