MAT 1312, SL(2,Z), Fall 2022

Instructor

Kasra Rafi
Office: BA 6236 (Bahen Centre)
Email: rafi@math.toronto.edu

Meetings

Tuesdays and Thursdays 5 - 6:30 pm
Location: BA 6183

Office Hours

Tuesdays 12 pm -- 1 pm
Thursdays 1 pm -- 2 pm or by appointment.

Course Description

We will examine the group SL(2,Z) from the point of view of Geometry, Group Theory, Dymanics and Numebr Theory. Below are some references for the topics covered in class. More references will be added here as the semester goes on.

1. Basics
• Continued Fractions,   by A. Ya. Khinchin.
• For the algebra of SL(2,Z) you can look at [Notes] by Keith Conrad.
• For Basics of Hyperbolic Geometry you can look at [Notes] by Caroline Series.
2. Ergodic Theory
• Ergodic Theory with a view towards Number Theory,   by Manfred Einsiedler and Thomas Ward.

Accessibility Needs

The University of Toronto is committed to accessibility. If you require accommodations for a disability, or have any accessibility concerns about the course, the classroom or course materials, please contact Accessibility Services as soon as possible: email disability.services@utoronto.ca or visit here.