The Department of Mathematics & Manoa Math Ohana Invite you to Luana in the Afternoon Refreshments provided. All students and faculty welcome.
luana. Hawaiian. v. To be at leisure, enjoy pleasant surroundings and associates, enjoy oneself, relax, be content.
The Department of Mathematics & Manoa Math Ohana Invite you to Luana in the Afternoon Refreshments provided. All students and faculty welcome.
luana. Hawaiian. v. To be at leisure, enjoy pleasant surroundings and associates, enjoy oneself, relax, be content.
Title: Adelic Theory of Protori
by Wayne Lewis (University of Hawaiʻi) as part of Topological Groups
Lecture held in Elysium.
Abstract: TBA
Title: Classification of Finite-Dimensional Periodic LCA Groups
by Wayne Lewis (University of Hawaiʻi) as part of Topological Groups
Lecture held in Elysium.
Abstract
Generalized resolutions of protori have non-Archimedean component a periodic LCA group with finite non-Archimedean dimension. The previous session introduced the notion of non-Archimedean dimension of LCA groups. Applying published results by Dikranjan, Herfort, Hofmann, Lewis, Loth, Mader, Morris, Prodanov, Ross, and Stoyanov, we introduce new minimalist notation and accompanying definitions to clarify the structure of these groups and their Pontryagin duals, enabling a parametrization of the spectrum of resolutions of finite-dimensional protori (the Grothendieck group is a moduli space).