The main theme of the trimester is the interplay of di fferent methods used in modern number theory. We wish to emphasise the new results and conjectures in arithmetic geometry, having direct bearing on the classical numbertheoretic problems. The proceedings volume, which we intend to publish, should summarise investigations and discussions during the trimester. Two sessions, on the recently proved Serre conjecture from the 15th of January until the 14th of February (organisers: L. Dieulefait and J-P. Wintenberger) and on counting rational points on algebraic varieties from the 15th of March until the 14th of April (organiser: D.R. Heath-Brown), as well as a couple of shorter workshops, several seminars, and mini-courses are to be organized.The trimester culminates in a research conference from the 15th until the 19th of April.

http://www.him.uni-bonn.de/arithmetic-and-geometry