Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Matthias Kreck,波恩大学
Inviter:
Title:
An overlooked problem: Betti numbers of closed manifolds
Time & Venue:
2019.3.28 14:30-16:30 N820
Abstract:
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.