The abc conjecture and related topics
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Wed, 20/05/2009 11:30 |
David Craven (University of Oxford) |
Algebra Kinderseminar  |
ChCh, Tom Gate, Room 2 |
| We begin by proving the abc theorem for polynomial rings and looking at a couple of its consequences. We then move on to the abc conjecture and its equivalence with the generalized Szpiro conjecture, via Frey polynomials. We look at a couple of consequences of the abc conjecture, and finally consider function fields, where we introduce the abc theorem in that case. | |||