Topics in Number Theory (WI21)

Introduction to Linear Algebraic Groups


Course Info:



A linear algebraic group is a subgroup of invertible matrices defined by polynomial equations (in the matrix entries and the inverse of the determinant).  Linear algebraic groups underpin all of mathematics, and in this course we will study them from an abstract perspective.  Our point of view: seek out all of the fun of linear algebra and group theory, but from the point of view of algebraic geometry.  In particular, we will seek out the remarkable classification of the reductive groups, the most important linear algebraic groups in practice.  


Learning Outcomes:

By the end of this course, you should be able to understand of the basic structures of linear algebraic groups: define terms, explain their significance, and apply them in context.


Additional Pages:

  1. Academic Honor Principle
  2. Expectations
  3. Grading
  4. Consent to Record
  5. Student Accessibility Needs
  6. Mental Health
  7. Title IX
  8. Religious Observances
  9. Additional Support for your Learning

Course Summary:

Date Details Due