Topological and geometric aspects of positive scalar curvature (PSC) manifolds
Time: 2021-12-06
Published By: Yu Feng
Speaker(s): Jintian Zhu(BICMR)
Time: 10:00-11:30 December 10, 2021
Venue: Room 29, Quan Zhai, BICMR
In this talk, I will introduce my previous work on
homotopical 2-systole estimate for PSC manifolds. As a preparation,
I will first review recent progress on classification problem and aspherical conjecture
for PSC manifolds, and then return to the homotopical 2-systole estimate
as a quantitive version of some known topological results. As technical tool,
I will also mention the torical symmetrization method
and the soap bubble approximation method in the proof. The talk is based on the work arXiv:1903.05785 and arXiv:2008.07028.
homotopical 2-systole estimate for PSC manifolds. As a preparation,
I will first review recent progress on classification problem and aspherical conjecture
for PSC manifolds, and then return to the homotopical 2-systole estimate
as a quantitive version of some known topological results. As technical tool,
I will also mention the torical symmetrization method
and the soap bubble approximation method in the proof. The talk is based on the work arXiv:1903.05785 and arXiv:2008.07028.