"Non UBC"@en .
"DSpace"@en .
"Chen, Imin"@en .
"2017-09-15T22:01:28"@en .
"2017-03-19T08:51"@en .
"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."@en .
"https://circle.library.ubc.ca/rest/handle/2429/63053?expand=metadata"@en .
"51 minutes"@en .
"video/mp4"@en .
""@en .
"Author affiliation: Simon Fraser University"@en .
"Banff (Alta.)"@en .
"10.14288/1.0355668"@en .
"eng"@en .
"Unreviewed"@en .
"Vancouver : University of British Columbia Library"@en .
"Banff International Research Station for Mathematical Innovation and Discovery"@en .
"Attribution-NonCommercial-NoDerivatives 4.0 International"@en .
"http://creativecommons.org/licenses/by-nc-nd/4.0/"@en .
"Faculty"@en .
"BIRS Workshop Lecture Videos (Banff, Alta)"@en .
"Mathematics"@en .
"Number theory"@en .
"Algebraic geometry"@en .
"On the generalized Fermat equation"@en .
"Moving Image"@en .
"http://hdl.handle.net/2429/63053"@en .