Title: Flexible exponent of 3-manifolds

Speaker: Shicheng Wang, Peking University

Abstract: A classical question in quantitative topology is to bound the mapping degree $deg(f)$ in terms of its Lipschitz constant Lip(f)$. For a closed, oriented manifold $M$, the flexible exponent $\alpha(M)$ is the infimum of  $\alpha\geq 0$ such that $|deg f| \le C(Lip f)^\alpha$ holds for all differentiable $f: M \rightarrow M$. The flexible exponent measures how effectively a self-mapping can wrap itself.

We give the complete result $\alpha(M)$ for 3-manifolds $M$,.

People involved in this work are J. Duan, J. Lin, H. Sun, S. Wang, Z. Wang, D. Wei.