Diophantine Geometry

seminar: Quadratic Polynomials and Norm Forms

speaker: Roger Heath-Brown (Oxford University)

abstract: We are interested in the Hasse Principle and Weak Approximation for equations of the type P(t)=N(x_1,...,xd), where P is a polynomial in one variable and N is a norm form produced by aan algebraic number field of degree d. The talk will present a line of attack in the case in which P is an irreducible quadratic polynomial, using methods from analytic number theory. This is work in progress.

timetable:
Wed 20 Apr, 11:00 - 12:00, Sala Conferenze Centro De Giorgi
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