Positivity of simplicial volume

Seminar: 
Geometric Analysis and Application
Event time: 
Tuesday, September 29, 2026 - 4:00pm to 5:00pm
Location: 
Kline Tower 801
Speaker: 
Yuping Ruan
Speaker affiliation: 
Yale University
Event description: 

I will discuss some recent progress on the positivity of simplicial volume for nonpositively curved manifolds. In particular, I will discuss (1) the relation between Euler characteristic and simplicial volume for 4-dimensional nonpositively curved manifolds, following work of Connell–R–Wang and Kim–Wan, and (2) the relation between isolated codimension-one submanifolds and positivity of simplicial volume, following work of Connell–R–Wang.