METRIC GEOMETRY AND COMPARISON (MATH 597, section 2)
(Geometry of metric spaces including different types
of convergence.Introduction to Alexandrov geometry.
Applications in group theory, and topology.)

Syllabus

Recommended books:

• A Course in Metric Geometry by D. Burago, Yu. Burago, and S. Ivanov; a list of corrections is maintained by the authors.
• An invitation to Alexandrov geometry: CAT(0) spaces by S. Alexander, V. Kapovitch and A. Petrunin.
• Metric structures for Riemannian and non-Riemannian spaces by M. Gromov.

Lecture notes

Each Friday, a homework assignment should appear on page 5 in the lecture notes.