Fields Academy Shared Graduate Course: Topics in Set Theory: Homogeneous Structures, Topological Dynamics of Their Automorphism Groups and the Corresponding Ramsey Index Theory
Description
Instructor: Prof. Stevo Todorcevic
Email: stevo@math.utoronto.ca
Registration Deadline: September 26th, 2022
Lecture Times: Tuesday | 2:00 - 5:00 pm (ET)
Office Hours: TBD
Course Dates: September 20th - December 13th, 2022
Mid-Semester Break: November 7th - 11th, 2022
Registration Fee: PSU Students - Free | Other Students - $500 CAD
Prerequisites: Besides the basics necessary for understanding the structure of various mathematical proofs, very few additional prerequisites are necessary for following the course.
Evaluation: The students will be given several assignments to complete online in a given period of time. They will be evaluated on the basis of these assignments and on the basis of their activities during the lectures.
Capacity Limit: N/A
Format: Online
Course Description
This will be a course on homogeneous structures from three perspectives: Model Theory, Dynamics, and Ramsey Theory. The connection among these three perspectives will be given in detail. While most of the presented material is classical, we will also present some recent advances.
