Title	On the generalized Fermat equation
Creator	Chen, Imin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-03-19T08:51
Description	A conjectured generalization of Fermat's Last Theorem states that the equation $x^p + y^q = z^r$ has no solutions in non-zero mutually coprime integers $x, y, z$ whenever the integer exponents $p, q, r \geq 3$. Since the proof of Fermat's Last Theorem, it was natural to attempt to study this generalization using a similar approach by Galois representations and modular forms. In this talk, I will survey some of the successes of applying this method, current ongoing approaches, and fundamental challenges in carrying out a complete resolution.
Extent	51 minutes
Subject	Mathematics; Number theory; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Simon Fraser University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-09-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0355668
URI	http://hdl.handle.net/2429/63053
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos