Title：On the Farrell-Jones Conjecture

Speaker：伍晓磊  (University of Bonn)

Time：2019年7月2日       下午  16:30-17:30

Room：东区管理科研楼  365英国上市官网1418室

Abstract：Farrell-Jones Conjecture plays an important role in manifold topology. It implies for example the Borel Conjecture and the Novikov Conjecture. In this talk I will give a overview of the conjecture with special emphasis on the K-theory version. I will first give an gentle introduction to algebraic K-theory and discuss the connections with manifold topology. We then formulate the conjecture and discuss the status of it. If time permitted, I will then explain a recent work of Bestvina, Fujiwara and Wigglesworth on  the Farrell-Jones Conjecture for free(finite rank)-by-cyclic groups and how to extend their work to allow the free groups to have infinite rank. Using this, we can show the Farrell-Jones Conjecture  for any (right angled Artin group)-by-cyclic groups. This is a joint work with Benjamin Brück and Dawid Kielak.