bolum-ici-etkinlik

Some Geometry for Robot Kinematics

Yazarı:

J.M. Selig, London South Bank University.
Tarih: 26 Ocak, 2023, Perşembe, Zaman: 14:00.
Yer: Dokuz Eylül Üniv., Tınaztepe Yerleşkesi, Fen Fak. Matematik Böl.

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.

Quaternions, Dual Quaternions and Clifford algebras

Yazarı:

J.M. Selig, London South Bank University.
Tarih: 24 Ocak, 2023, Salı, Zaman: 14:00.
Yer: Dokuz Eylül Üniv., Tınaztepe Yerleşkesi, Fen Fak. Matematik Böl.

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 rep-resenting the algebra of 3-dimensional Euclidean geometry will be outlined.

Modules over Noetherian Hopf Algebras

Yazarı:

Tarih: 21.04.2022 (Perşembe) 10:30

Yer:B256 Nolu Derslik

Konuşmacı:Doç. Dr. Christian Lomp (University of Porto)

Özet: In the first part of this talk I will give a short introduction to the theory of Hopf algebras. After surveying basic examples of Hopf algebras, their actions on rings as well as their basic properties I will report on my recent joint work with Can Hatipoglu on finiteness conditions on the injective hull of simple modules over Noetherian Hopf algebras of finite Gelfand-Kirillov dimension.

How did Euler discover the Gamma function?

Yazarı:

Tarih: 17.11.2021 (Çarşamba) 12:00

Yer: SAKAI/Ogr DEU Math

Konuşmacı:Doç. Dr. Burcu Silindir Yantır

Özet:In 1729, Goldbach sent a letter to Bernoulli asking whether it is possible to extend the factorial function to nonnegative real arguements. The answer for this question was studied by Bernoulli and Euler. In this talk, we will present the journey to Gamma function and discuss its properties.