WEEKLY ACTIVITIES

Diophantine approximation and transcendence theory over p-adic fields
Speaker: Pham Duc Hiep (Hanoi National University of Education)

Time: Time: 5/3/2014

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet Cau Giay, Ha noi

Abstract: In this talk we shall first give a new result on Diophantine approximation over p-adic fields concerning a class of commutative algebraic groups. Let G be a commutative algebraic group defined and disjoint with the additive group $\mathbb G_a$ over a number field with the condition of semistability. Consider a linear form with algebraic coefficients on the Lie algebra of G and an algebraic point in a p-adic neighbourhood of the origin that is not zero under the linear form. We give an effectively computable lower bound for the p-adic absolute value of the linear form at the point. For the rest of the talk, we shall deduce some new results on p-adic transcendence theory from the p-adic analytic subgroup theorem.

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