Distribution on Achiral Manifolds

Explore the distribution of commensurable classes in geometric models during this 1-hour 7-minute conference talk. Delve into the relationship between commensurable classes containing non-orientable members and those containing achiral members, uncovering connections to number theory. Examine Sol 3-manifolds and their association with negative Pell equations, as well as hyperbolic 3-manifolds and their link to strong approximation. Learn about the collaborative research conducted with Shicheng Wang, Zhongzi Wang, and Hang Yin, gaining insights into the intricate world of achiral manifolds and their mathematical implications.