**Time:** June 02nd, 2015 (Tue), 11:30 – 12:40

**Place:** Room N-220, Science Hall of International Christian University (2nd floor, North Wing)

**Title:** Geometry and Algebra: Hamilton, Grassmann, and Clifford

**Speaker:** Professor emeritus Kenichi Kanatani (Okayama University)

**Event:** Open seminar in conjunction with ICU Natural Science Forum and Hot Topics in Physics lecture series

**Organizer:** Sen. Ass. Prof. Eckhard Hitzer (hitzer_AT_icu.ac.jp)

**Access:** http://www.icu.ac.jp/en/about/access/index.html

**Campus Map (Science Hall = Bldg. No. 4):** http://www.icu.ac.jp/en/about/campus/index.html

**Abstract:** In this lecture we explain geometric algebra, which plays an important role in modern physics (dynamics, electromagnetism, quantum mechanics and relativistic physics) and engineering (robotic manipulation, computer vision and computer graphics). At the beginning we look at the historical background of geometric algebra, namely Hamilton’s quaternions, Grassmann’s exterior algebra, and Clifford algebra. The meaning of the Clifford’s geometric algebra is explained in elementary way. We only assume no more than high school level mathematics in this lecture. The historical development will be narrated as well.

This lecture is based on the following recent text book by Prof. Kanatani: Kanatani, Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics, CRC Press, April 2015.

**Note:** Please note the ICU Basic Policy for the Prevention of Human Rights Violations

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