| Thursday 18 April 2024 | |
| Events for day: Tuesday 25 May 2021 |
| 17:30 - 19:30 Number Theory Webinar Solving Fermat Type Equations Via Modular Approach School MATHEMATICS Recent work of Freitas and Siksek showed that an asymptotic version of Fermat's Last Theorem (FLT) holds for many totally real fields. This result was extended by Deconinck to the generalized Fermat equation of the form Ax^p + By^p + Cz^p = 0, where A, B, C are odd integers belonging to a totally real field. Later Sengun and Siksek showed that the asymptotic FLT holds over number fields assuming standard modularity conjectures. Combining their techniques we* show that the generalized Fermat's Last Theorem (GFLT) holds over number fields asymptotically assuming the standard conjectures. We also give three results which show the existence of fa ... |