Active Period in Arithmetic Geometry

Organizer: Samir Siksek

Events

• Monday 14–Friday 18 April 2008 Surfaces: Geometry and Arithmetic (Instructional Workshop)
• Short courses (see below) and a regular number theory seminar
• 16–20 June 2008 Rational Points on Curves and Higher-Dimensional Varieties

Short Courses

In addition to the week-long workshops above, we are planning a series of short courses (3–4 lectures, plus a problem session where appropriate), suitable for a broad number theory audience. These include:

• Sir Peter Swinnerton-Dyer, The Manin conjecture
• Tom Fisher, Visibility of Tate-Shafarevich Groups
• Tim Dokchitser, The conjectures of Birch and Swinnerton-Dyer
• Johan Bosman Galois representations of modular forms
• William Hart, Introduction to Theta functions
• Ambrus Pal, The Gross-Zagier formula

Programme

• Week 1: Monday 14–Friday 18 April Surfaces: Geometry and Arithmetic (Instructional Workshop)
• Week 2: Monday 21 – Friday 25 April short course by Johan Bosman, talks by Sir Peter Swinnerton-Dyer, Evis Ieronymou and Tom Fisher.
• Week 3: Monday 28 April – Friday 2 May short course by Tom Fisher, talk by Castryck.
• Week 4: Monday 5 – Friday 9 May short course by Tim Dokchitser
• Week 5: Monday 12 – Friday 16 May short course by Bill Hart, talks by David Loeffler and Thotsaphon Thongjunthug
• Week 6 and 7: Monday 19 – Friday 30 May talks by Ambrus Pal, Anna Morra and Samir Siksek
• Parallel workshop at the MRC: Tuesday 27th May – Tuesday 3rd June 2008, Commutative algebra, complexes and applications of computer algebra
• Week 8: Monday 2 – Friday 6 June short course by Ambrus Pal and talk by Jan Tuitman
• Week 9: Monday 9 – Friday 13 June short courses by Nils Bruin and Sir Peter Swinnerton-Dyer, talk by Bjorn Poonen
• Week 10: 16–20 June 2008 Rational Points on Curves and Higher-Dimensional Varieties (conference)

The Active Period in Arithmetic Geometry is part of the 2007–2008 Warwick EPSRC Symposium on Algebraic Geometry