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      中科院数学与系统科学研究院

      数学研究所

       

      拓扑研讨班

       

      报告人Prof. Matthias Kreck波恩大学

       An overlooked problem: Betti numbers of closed manifolds

        2019.03.28(星期四),14:30-16:30

        点:数学院南楼N820

        要:Given natural numbers b_0, b_1, .... b_n, we ask whether there is a closed manifold M of dimension n with b_i(M)=b_i. A special case was studied by Zhixu Su, namely where n=4k, b_0=1, b_2k=1, b_4k=1, and b_i=0 for other i. This shows a surprising relation to number theory. In joint work with Don Zagier we extend this result.  

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