Colloquium: Euler characteristic and simplicial volume of closed nonpositively curved four-manifolds

Seminar| Institute of Mathematical Sciences

Time: Wednesday, December 24th, 2025,16:00-17:00

Location: RS408, IMS

Speaker: Xueyuan Wan, Chongqing University of Technology

Abstract: We prove that any closed, non-positively curved 4-manifold with non-zero Euler characteristic has positive simplicial volume. As a consequence, Gromov’s conjecture on the positivity of simplicial volume in dimension four is confirmed. This work is joint with Inkang Kim.