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)