Dec 12, 2019
Representing norms by polynomials on average
Date: December 12, 2019 |
11:30 am –
12:30 pm
Speaker:
Efthymios Sofos, University of Glasgow
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Fix any integer d>1, a quadratic extension of the rationals and let N denote its norm. For an integer polynomial f of degree d consider the generalised Chatelet surface X_f: N(x,y)=f(t). In joint work with A. Skorobogatov we prove that for 100% of all integer polynomials (ordered by the size of coefficients) the surface X_f has a rational point.
