[Turkmath:5947] DEÜ Matematik Seminerleri - Prof. Jonathan Mark Selig (London South Bank University, UK)

[Celal Cem Sarioglu]

London South Bank University (UK) öğretim üyesi Prof. Jonathan Mark Selig,
  22.01.2023 - 04.02.2023 tarihleri arasında TÜBİTAK 2221 Konuk veya
Akademik İzinli Bilim İnsanı Destekleme Programı kapsamında Dokuz Eylül
Üniversitesi Matematik Bölümünü ziyaret edecektir. Ziyaret kapsamında 24 ve
26 Ocak 2023 tarihlerinde aşağıda detayları verilen seminerleri verecektir.
İlgilenen herkes seminerlere davetlidir.

Dr. Celal Cem Sarıoğlu
(DEÜ Matematik Bölümü adına)


Prof. Jonathan Mark Selig'in Google Scholar sayfası:
https://scholar.google.co.uk/citations?user=kV_ISs8AAAAJ&hl=en

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Tarih: 24 Ocak 2023 Salı, Saat: 14:00
Yer: DEÜ Matematik Bölümü Seminer Salonu (B206)

Konuşmacı: Prof. Jonathan Mark Selig (London South Bank University, UK)
Başlık: Quaternions, Dual Quaternions and Clifford algebras

ÖZET:
After a brief review of Hamilton’s quaternions and how they can be used to
represent rotations, Clifford’s dual quaternions will be discussed. The use
of this algebra to represent rigid-body displacements will be explained. As
will the relation to the Study quadric. The representation of twists,
infinitesimal rigid-body displacements, will also be considered. Finally,
the notion of Clifford algebras will be introduced and various examples
will be considered. In particular, examples representing the algebra of
3-dimensional Euclidean geometry will be outlined.
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Tarih: 26 Ocak 2023 Perşembe, Saat: 14:00
Yer: DEÜ Matematik Bölümü Seminer Salonu (B206)

Konuşmacı: Prof. Jonathan Mark Selig (London South Bank University, UK)
Başlık: Some Geometry for Robot Kinematics

ÖZET:
The talk will begin with a brief review of dual quaternions and the
realisation of the group of rigid-body displacements by the Study quadric.
Next we look at some linear subspaces of the Study quadric and their
interpretation as sets of displacements. Following this we will describe
some sets of displacements that are intersections of the Study quadric with
linear subspaces of the surrounding P 7 . Then we will discuss some Segre
varieties. These can be realised by simple serial linkages. A final
extended example shows how some of these ideas can be used to solve
problems in the theory of mechanisms.
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