ncku-talk2022-10-06

Colloquium

DATE 2022-10-06　16:10-17:00

PLACE 數學系館 1F3174教室

SPEAKER 王姿月研究員（中央研究院數學研究所）

TITLE On Generalized abc Conjecture over Function Fields

ABSTRACT Let $\epsilon$ be a positive real number. The abc conjecture asserts that there is a constant $C(\epsilon)$ such that for any triple of coprime positive integers with $a+b=c$, the inequality $ c\le C(\epsilon) \prod_{p|(abc)}p^{1+\epsilon}$ holds.
In this talk, we will discuss this conjecture and its general version in the function field setting. In particular, we will formulate Vojta's general abc conjecture for 2-dimensional algebraic tori over function fields. This is a joint work with Ji Guo and Chia-Liang Sun

Colloquium

DATE	2022-10-06　16:10-17:00

PLACE	數學系館 1F3174教室

SPEAKER	王姿月研究員（中央研究院數學研究所）

TITLE	On Generalized abc Conjecture over Function Fields

ABSTRACT	Let $\epsilon$ be a positive real number. The abc conjecture asserts that there is a constant $C(\epsilon)$ such that for any triple of coprime positive integers with $a+b=c$, the inequality $ c\le C(\epsilon) \prod_{p\|(abc)}p^{1+\epsilon}$ holds. In this talk, we will discuss this conjecture and its general version in the function field setting. In particular, we will formulate Vojta's general abc conjecture for 2-dimensional algebraic tori over function fields. This is a joint work with Ji Guo and Chia-Liang Sun