Seminar
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| Location: | SLMath: Online/Virtual |
This seminar will focus on Diophantine problems in a broad sense, with a view towards (but not limited to) interactions between Number Theory and Logic. Particular attention will be given to topics with the potential of further developments in the context of this MSRI scientific program. This will provide an opportunity for researchers to update on new results, techniques and some of the main problems of the field.
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
On The Pila-Wilkie Theorem
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Abstract: We prove Pila and Wilkie’s Counting theorem, following the original paper, but exploit cell decomposition more thoroughly to simplify the deduction from its main ingredients. Our approach in particular completely avoids ‘regular’ or C^1 smooth points, and related technology; which also allows simplifications around Pila’s ‘block family’ refinement of the result.
No Notes/Supplements UploadedOn The Pila-Wilkie Theorem
| H.264 Video | 25170_28668_8545_On_the_Pila-Wilkie_Theorem.mp4 |