On the Farrell-Jones Conjecture

来源 :2017-2018年复旦大学数学学科青年学者论坛 | 被引量 : 0次 | 上传用户:epippo
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  Farrell-Jones Conjecture plays an important role in manifold topology.It implies for example the Novikov Conjecture and Borel 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.I will also discuss some ideas on proving the conjecture in some special cases.
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