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第27届华东地区拓扑研讨会
发布时间:2024-11-04 点击次数:

时间:11月9日

地点:合肥滨湖富茂大酒店

报告安排:


9:30-10:20
马继明,复旦大学
题目: 三维流形的两维复双曲几何
摘要: 我们证明某些有非空全测地边界的双曲三维流形的基本群在两维复双曲曲面的等距群中有忠实离散的群表示。


10:50-11:40
王中子,北京大学
题目: On $\pi_1$-injective immersions from surfaces bundles over $S^1$ into that over surfaces
摘要: Let $F_g$ be the closed orientable surface of genus $g$.
There exists an $F_g$-bundle over  surface, such that
any $F_g$-bundle over $S^1$ can be    immersed
into this $F_g$-bundle over surface in $\pi_1$-injective and fiber preserving way.




14:00-14:50
王晁,华东师范大学
题目: Equivariant embeddings of Riemann surfaces into Euclidean spaces
摘要: Let S be a closed Riemann surface, and let G be a finite subgroup of the automorphism group of S. It is known that there exists a smooth G-equivariant embedding from S to some Euclidean space E, where G acts orthogonally on E. We will discuss some results about the minimal possible dimension n of such E. For example, we will show that n is at most |G| if |G|>4, and n=|G| can hold if |G|>4 is a prime number. This is a joint work with Zhongzi Wang.


15:10-16:00
贺宇昕,清华大学
题目: Non-simple systoles on random hyperbolic surfaces for large genus
摘要: In this paper, we investigate the asymptotic behavior of the non-simple systole, which is the length of a shortest non-simple closed geodesic, on a random closed hyperbolic surface on the moduli space $\mathcal{M}_g$ of Riemann surfaces of genus $g$ endowed with the Weil-Petersson measure. We show that as the genus $g$ goes to infinity, the non-simple systole of a generic hyperbolic surface in $\mathcal{M}_g$ behaves exactly like $\log g$. This is a joint work with Yang Shen, Yunhui Wu and Yuhao Xue.


16:30-17:20

徐彬斌,南开大学
题目: On the equivalence between Q-conditions and primitive stability
摘要: The group Out(F2) of outer-automorphisms of F2 the rank 2 free group acts naturally on the PSL(2,C)-character variety of F2. To study the dynamical property of Out(F2)-action, Bowditch's Q-condition and the primitive stable condition on a representation from F2 to PSL(2,C) have been introduced by Bowditch (generalized by Tan-Wong-Zhang) and by Minsky, respectively. Each one of them can characterize an open subset of the character variety on which Out(F2) acts properly discontinuously. These two open sets are both candidates for the maximal domain of discontinuity for the Out(F2)-action. In a joint work with Jaejeong Lee, we show that these two conditions are equivalent to each other.