Type: Seminar

Distribution: World

Expiry: 3 Nov 2011

Auth: billu@daumier.maths.usyd.edu.au

Speaker: Michael Mourao (Warwick) Title: The set of rational points of an algebraic curve Time & Place: 3:05pm-3:55pm, Thursday 3 November, Carslaw 535 Abstract: In this talk we will introduce the methods of Chabauty and the Mordell-Weil Sieve. We will then show how a combination of these, together with a "descent" argument, can be used to fully determine the set of rational points of an algebraic curve (of genus greater than 1). Speaker: Steve Donnelly (Sydney) Title: Algorithms for Hilbert modular forms Time & Place: 4:05pm-4:55pm, Thursday 3 November, Carslaw 535 Abstract: I will describe some of the algorithms used in Magma’s package for Hilbert modular forms, and discuss data that I’ve collected for quadratic fields.