Title

Classifications on Kn and Pn via Symmetry Groups

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Subject Area

Mathematics

Description

Thomas Arbeiter ’21, Mathematics and Computer Science
Adam Banatwala ’22, Mathematics and Finance
Jensen Barry ’22, Mathematics
Mackenzie Maude ’22, Mathematics and Art History
Shannon Rooney ’21, Studio Art and Mathematics
Yuri Takenaka ’21, Biology and Mathematics
Faculty Mentor: Dr. Joanna Su, Mathematics

One of the main topics in the study of topology is the classification and comparison of shapes and surfaces. The 2021 research group focused on the classifications of 2-dimensional non-orientable surfaces without boundaries, building upon their results on the classifications on VnS1 and Tn via symmetry groups in 2020. The students established a relationship between the order of these symmetry groups on Kn (the n-connected sums of the Klein bottles) and Pn (the n-connected sums of projective planes). Their methodology applies to all 1- and 2-dimensional orientable or non-orientable surfaces without boundaries, and is also suitable for higher dimensions.

Publisher

Providence College

Date

4-29-2021

Start Date

4-29-2021 12:00 AM

Type

Presentation

.mp4

Language

English

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