※対面参加をされる方は、当日会場で参加者名簿にご記入をお願いします。
If you are going to participate face-to-face on the day, please fill in the participant list at the venue.
講演タイトル
Rational points of rigid-analytic sets: a Pila-Wilkie type theorem
アブストラクト
Joint work with Gal Binyamini (Weizmann). We establish a rigid-analytic analog of the Pila-Wilkie counting theorem, giving sub-polynomial upper bounds for the number of rational points in the transcendental part of a Qp-analytic set, and the number of rational functions in a Fq((t))-analytic set. For Z[[t]]-analytic sets we prove such bounds uniformly for the specialization to every non-archimedean local field.