Sharp spectral gaps for scl from negative curvature

Date
2025/05/20 Tue 15:00 - 16:30
Room
6号館609号室
Speaker
Alexis Marchand
Affiliation
Kyoto University
Abstract

Stable commutator length is a measure of homological complexity of group elements, with connections to many topics in geometric topology, including quasimorphisms, bounded cohomology, and simplicial volume. The goal of this talk is to shed light on some of its relations with negative curvature. We will present a new geometric proof of a theorem of Heuer on sharp lower bounds for scl in right-angled Artin groups. Our proof relates letter-quasimorphisms (which are analogues of real-valued quasimorphisms with image in free groups) to negatively curved angle structures for surfaces estimating scl.