MIMS/CMMA Interdisciplinary Seminar on Topology and Its Applications

MIMS/CMMA Interdisciplinary Seminar on Topology and Its Application

 

Information: Toshitake Kohno, Masaaki Suzuki

 Organizer:
 MIMS (Meiji Institute for Advanced Study of Mathematical Sciences)

 Venue:On-line via Zoom webinar
     ※ The seminar will be lectured in Japanese.



The 3rd Interdisciplinary Seminar on Topology and Its Applications

Date:July 29 (Thu.), 2021 17:30--18:30

Venue: On-line via Zoom webinar


◆Lecture Video

Lecturer:
HIRAOKA Yasuaki
  (Kyoto University Institute for Advanced Study, Kyoto University)

Title:
"Towards multi-parameter persistent homology"

Abstract:
 Persistent homology is an emerging concept in applied mathematics which characterizes “shape of data” by using topological methods, and its mathematical theory is being actively developed, inspired from applied fields such as materials science, life science, etc.
 In particular, the multi-parameter persistent homology is one of the most important generalizations required for practical data analysis. In this talk, I will explain several topics about multi-parameter persistent homology, including motivations from applications, approaches based on representation theory, and probabilistic decomposition theory.



The 2nd Interdisciplinary Seminar on Topology and Its Applications

Date:June 17 (Thu.), 2021 17:30--18:30

Venue: On-line via Zoom webinar


◆Lecture Video

Lecturer:
TSUBOI Takashi (Musashino University)

Title:
"Flat tori and Origami"

Abstract:
 We consider origami embeddings of flat tori. For piecewise-linearly embedded surfaces, one can define lengths of piecewise smooth paths, and hence one can consider this question. Intuitively, the geodesics are lines on the surface locally developed to the plane. My motivation to look at this question was that an explanation of the Nash-Kuiper embedding theorem for piecewise smooth embedding cases looked much easier. In particular, since flat manifolds are easily (semi-)locally origami embedded, it looked possible to give explicit global origami embeddings. It has already been known that flat tori can be origami embedded, however, it is interesting for me to show them explicitly.

※ The seminar is lectured in Japanese.



The 1st Interdisciplinary Seminar on Topology and Its Application

Date:May 27 (Thu.), 2021 17:30--18:30

Venue: On-line via Zoom webinar


◆lecture video

Lecturer:
SHIMOKAWA Koya (Saitama University)

Title:
"Knot theoretical analysis of site-specific recombination of DNA"

Abstract:
 We explain the application of knot theory to the study of site-specific recombination of DNA. We characterize the unlinking pathway of a site-specific recombination system and discuss related topics.

※ The seminar is lectured in Japanese.


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