Dept. of Theoretical Physics - Seminar with Gert Vercleyen, Maynooth

Friday, March 25, 2022 - 14:00 to 15:00
Science Lecture Theatre (SLT), Callan Building, North Campus, Maynooth University and on Zoom (details below)

A Gentle Introduction to Geometric Algebra

Anyone doing a degree in physics, engineering, or mathematics will, at a very early stage, need to learn how to deal with vectors. Typically the theory of vectors comes with several products, like the dot product which is useful for determining lengths and angles, the cross product which allows one to find orthogonal vectors, and in 2D the complex product which allows one to easily describe rotations and dilations. Each of these products has its benefits and problems. The dot product is not invertible, the complex product only works in 2D, and the cross product has too many issues to put in this abstract. The goal of the talk is to present an alternative product of vectors, the geometric product, that works in any dimension, allows one to get geometric data, and can be used to apply geometric transformations. I will describe how the usual products can be obtained from the geometric product and work out various examples.

------------------------------------------------------------

The full Zoom meeting details follow

------------------------------------------------------------
Meeting ID: 898 2731 5412
Passcode: 413599
One tap mobile
+35316533898,,89827315412#,,,,*413599# Ireland
+35361639031,,89827315412#,,,,*413599# Ireland

Dial by your location
        +353 1 653 3898 Ireland
        +353 6 163 9031 Ireland
        +353 1 240 8941 Ireland
        +353 1 536 9320 Ireland
        +353 1 653 3895 Ireland
        +353 1 653 3897 Ireland
        +1 669 900 6833 US (San Jose)
        +1 929 205 6099 US (New York)
        +1 253 215 8782 US (Tacoma)
        +1 301 715 8592 US (Washington DC)
        +1 312 626 6799 US (Chicago)
        +1 346 248 7799 US (Houston)
Meeting ID: 898 2731 5412
Passcode: 413599
Find your local number: https://eur02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fus02web.zoom.us%2Fu%2FkbFLTPshPY&data=04%7C01%7Cjoost.slingerland%40mu.ie%7C14cdd7432cea480fd39608da0cf3f2fc%7C1454f5ccbb354685bbd98621fd8055c9%7C0%7C0%7C637836539261229606%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C2000&sdata=VyOKqDk5i%2FudChoMnkmhWMIM0x2MHGcBa29VUwl4uKo%3D&reserved=0