Watch a 49-minute mathematics lecture exploring classifying spaces of mapping class groups, delivered by Rita Jimenez Rolland from UNAM, Mexico. Delve into the study of mapping class groups as discrete groups encoding topological surface symmetries, examining their significance in 3-manifolds research and geometric group theory. Learn how these groups connect to algebraic geometry through moduli problems for algebraic curves, and understand the role of classifying spaces for families of subgroups in manifold classification. Discover contributions from Mexican mathematicians to this field, including collaborative work with Nestor Colin, Porfirio León Álvarez, and Luis Jorge Sánchez Saldaña, focusing on natural families of subgroups within the mapping class group of finite-type surfaces.
Classifying Spaces of Mapping Class Groups in Topological Surfaces
Overview
Syllabus
Rita Jimenez Rolland, UNAM, Mexico: On classifying spaces of mapping class groups
Taught by
IMSA
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