【摘要】
There has been a series of results establishing growth tightness across diverse classes of groups with negative curvature. This talk discusses progress in growth tightness for quotients of a group by confined subgroups. In detail, we show that groups admitting the statistically convex-cocompact action with contracting elements satisfy the growth tightness property. Furthermore, we extend such property to infinitely many generating sets of the mapping class group, thereby partially addressing a conjecture of Arzhantseva, Cashen and Tao.
This talk is based on two pieces of joint work with Wenyuan Yang and with Dídac Martínez-Granado and Abdul Zalloum, respectively.
