The ISITA 2020 conference on coding and information theory
will be held at Ko Olina on October 24-27, 2020.
http://www.isita.ieice.org/
The organizers are meeting in Hawaii this week, and have
agreed to give two talks at UH:
Friday, March 6, 1:30pm–2:15pm in Keller Hall 413
Speaker: Prof. Akiko Manada
Shonan Institute of Technology
Monday, March 9, 1:30pm–2:15pm in Keller Hall 413
Speaker: Prof. Takayuki Nozaki
Department of Informatics,
Yamaguchi University
Each talk will be followed by refreshments and a problem
session. You are cordially invited to attend.
The ISITA 2020 conference on coding and information theory
will be held at Ko Olina on October 24-27, 2020.
http://www.isita.ieice.org/
The organizers are meeting in Hawaii this week, and have
agreed to give two talks at UH:
Friday, March 6, 1:30pm–2:15pm in Keller Hall 413
Speaker: Prof. Akiko Manada
Shonan Institute of Technology
Monday, March 9, 1:30pm–2:15pm in Keller Hall 413
Speaker: Prof. Takayuki Nozaki
Department of Informatics,
Yamaguchi University
Each talk will be followed by refreshments and a problem
session. You are cordially invited to attend.
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).
Title: Recursion Theory and Diophantine Approximation
by Theodore Slaman (UC Berkeley) as part of Computability theory and applications
Abstract
We will give a survey of some connections between Recursion Theory, especially Algorithmic Randomness, and Diophantine Approximation, especially normality and exponents of irrationality. We will emphasize what we view as the contribution of a recursion theoretic perspective.
Title: Pontryagin Duals of Type Subgroups of Finite Rank Torsion-Free Abelian Groups
by Adolf Mader (University of Hawaiʻi) as part of Topological Groups
Lecture held in Elysium.
Abstract
Pontryagin duals of type subgroups of finite rank torsion-free abelian groups are presented. The interplay between the intrinsic study of compact abelian groups, respectively torsion-free abelian groups, is discussed (how can researchers better leverage the published results in each setting so there is a dual impact?). A result definitively qualifying, in the torsion-free category, the uniqueness of decompositions involving maximal rank completely decomposable summands is given; the formulation of the result in the setting of protori is shown to optimally generalize a well-known result regarding the splitting of maximal tori from finite-dimensional protori.
Title: Limiting Density and Free Structures
by Julia Knight (Notre Dame) as part of Computability theory and applications
Abstract
Gromov had asked what a random group looks like – in a limiting density sense. I conjectured that the elementary frst order theory of the random group on n >= 2 generators, and with a single relator matches
that of the non-Abelian free groups. Coulon, Ho, and Logan have proved that the theories match on universal sentences. We may ask Gromovs question for other varieties. Franklin and I looked for varieties for which
calculating the limiting densities is easier. We have examples for which the elementary frst order theory of the random structure matches that of the free structure, and other examples for which the theories differ.
(joint work with Johanna Franklin)