Low-Dimensional Solenoidal Manifolds
Offered By: IMSA via YouTube
Course Description
Overview
Explore the fascinating world of low-dimensional solenoidal manifolds in this comprehensive lecture. Delve into a survey of n-dimensional solenoidal manifolds for n=1, 2, and 3, and discover new findings in this field. Gain insights into the nature of solenoidal manifolds as metric spaces locally modeled on the product of a Cantor set and an open n-dimensional disk, understanding their "laminated" or "foliated" structure with n-dimensional leaves. Examine the theorem by A. Clark and S. Hurder, which states that topologically homogeneous, compact solenoidal manifolds are McCord solenoids. Investigate the rich structure of these manifolds as principal Cantor-group bundles over compact manifolds, and learn how they behave like "laminated" versions of compact manifolds, sharing many of their properties. This in-depth talk provides a comprehensive overview of the subject, offering valuable insights for mathematicians and researchers interested in low-dimensional topology and geometric structures.
Syllabus
Alberto Verjovsky. Instituto de Matemáticas, UNAM: Low-dimensional solenoidal manifolds
Taught by
IMSA
Related Courses
Self-Similar Sets and Measures on the LineInternational Mathematical Union via YouTube Alexander Volberg: The Probability of Buffon Needle to Land Near Cantor Set
Hausdorff Center for Mathematics via YouTube The Dry Ten Martini Problem for Sturmian Schrodinger Operators
Centre de recherches mathématiques - CRM via YouTube Non-Almost Finite Actions on the Cantor Set - Amenable Wreath Products
Centre de recherches mathématiques - CRM via YouTube Cube Complexes and Finiteness Properties of Block Mapping Class Groups
Centre de recherches mathématiques - CRM via YouTube