Difference between revisions of "AMS Student Chapter Seminar"
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=== September 26, Vladimir Sotirov === | === September 26, Vladimir Sotirov === | ||
− | Title: | + | Title: Geometric Algebra |
− | Abstract: | + | Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside. |
+ | In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space. | ||
=== October 3, Juliette Bruce === | === October 3, Juliette Bruce === |
Revision as of 10:19, 25 September 2018
The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.
- When: Wednesdays, 3:20 PM – 3:50 PM
- Where: Van Vleck, 9th floor lounge (unless otherwise announced)
- Organizers: Michel Alexis, David Wagner, Patrick Nicodemus, Son Tu
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.
The schedule of talks from past semesters can be found here.
Contents
Fall 2018
September 26, Vladimir Sotirov
Title: Geometric Algebra
Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside. In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space.
October 3, Juliette Bruce
Title: TBD
Abstract: TBD
October 10, TBD
Title: TBD
Abstract: TBD