Fine Curve Graphs and Fragmentation - Lecture 3

Explore the third installment of Sebastian Hensel's lecture series on Fine Curve Graphs and Fragmentation, presented at the Groupes énormes/ Huge Groups conference. Delve into the fascinating world of curve graphs, a combinatorial object that encodes intersection patterns of simple closed curves on surfaces. Discover how this seemingly complex structure has become an invaluable tool in geometric group theory, 3-dimensional topology, and complex analysis. Learn about the recent "fine" variant of curve graphs and its applications in answering questions about homeomorphism groups of surfaces. Examine the basics of usual and fine curve graphs, quasimorphisms, and the proof that fragmentation norm on homeomorphism groups of surfaces with genus at least 1 is unbounded. Gain insights into the latest developments regarding the large-scale geometry of fine curve graphs in this 41-minute mathematical exploration presented by the Centre de recherches mathématiques (CRM).