(manoa-math):No events
Oct 1 @ 12:33 pm – 12:33 pm

October 1, 2015, 12:33 pm
No events
No events at this time. … (link:

Noncommutative geometry seminar @ Keller 413
Oct 1 @ 3:00 pm – 4:00 pm
Colloquium: Ken-ichi Kuga (Chiba University)
Oct 2 @ 3:30 pm – 4:30 pm

Speaker: Ken-ichi Kuga (Chiba University)
Title: Wild Topologies and Formalization

Many wild spaces appear in low-dimensional topology where naive
geometric intuition fails to hold. It is therefore desirable to formalize mathematical arguments dealing with those wild phenomena.
One basic theorem in this field of geometric topology is the Bing
shrinking theorem. In this talk, after introducing some of those interesting wild spaces
including the Alexander’s horned sphere, I will explain one of Bing’s original shrinking argument which constructs a counter-intuitive, hence wild,
involution of the 3-dimensional sphere. Then I will explain our formalization of the Bing shrinking theorem using the proof-assistant COQ,
and also our future plan of formalizing geometric topology especially in
dimension 4.

Colloquium: Pamela Harris (Williams)
Oct 2 @ 3:30 pm – 4:30 pm
Noncommutative geometry seminar @ Keller 413
Oct 8 @ 3:00 pm – 4:00 pm
Algebra Comprehensive Exam
Oct 12 @ 9:00 am – 11:30 am
Algebra Comprehensive Exam
Oct 12 @ 1:00 pm – Oct 12 @ 3:30 pm
MA Defense: Korey Nishimoto @ Keller 403
Oct 14 @ 3:30 pm – 4:30 pm

The Packing Constant in l^2, l^p, a Class of Orlicz Functions and its Relationship to Totally Bounded

Link to Master’s project

Abstract. In this paper we will be discussing in further detail papers about the packing constant of the unit sphere in the space l^2, l^p written by Rankin, and a class of Orlicz functions given by Cleaver. In both the l^2 and l^p cases, the packing constant has been found however we will see in a paper written by Cleaver, the packing constant is not easily found for Orlicz spaces. In each case we will relate the packing constant to coverings, and thus relating packing spheres to compactness in metric spaces.