SFU

Thu 5 Feb 2015, 3:30pm
Number Theory Seminar
room ASB 10940 (SFU  IRMACS)

Some explicit Frey hyperelliptic curves

room ASB 10940 (SFU  IRMACS)
Thu 5 Feb 2015, 3:30pm4:30pm
Abstract
Darmon outlined a program which is suited to potentially resolving one parameter families of generalized Fermat equations. He gave explicit descriptions of Frey representations and conductor calculations for Fermat equations of signature (p,p,r). Somewhat less explicit results are stated for signature (r,r,p), and even less for signature (q,r,p).
For the equation (r,r,p), there are at least three competing Frey curve constructions: superelliptic curves of hypergeometric type due to Darmon, hyperelliptic curves due to Kraus, and elliptic curves with models over totally real fields due to Freitas.
I will survey these Frey curve constructions and end by giving explicit Frey hyperelliptic curves for signatures (2,r,p) and (3,5,p).
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Thu 12 Feb 2015, 3:30pm
Number Theory Seminar
room MATH 126


room MATH 126
Thu 12 Feb 2015, 3:30pm4:30pm
Abstract
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Thu 26 Feb 2015, 3:30pm
Number Theory Seminar
room MATH 126


room MATH 126
Thu 26 Feb 2015, 3:30pm4:30pm
Abstract
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UCLA

Thu 5 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 5 Mar 2015, 3:30pm4:30pm
Abstract
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UBC

Thu 12 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 12 Mar 2015, 3:30pm4:30pm
Abstract
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Thu 19 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126


room MATH 126
Thu 19 Mar 2015, 3:30pm4:30pm
Abstract
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Thu 26 Mar 2015, 3:30pm
Number Theory Seminar
room MATH 126


room MATH 126
Thu 26 Mar 2015, 3:30pm4:30pm
Abstract
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