Seminar on Analysis on Metric Spaces:

Tuesday afternoons in the Barn, at 1:45.

Notes for the first lecture (1/15) can be found at (SAMS1.pdf). Assouad's paper is this.

The next set of lectures (1/22- 2/5) by Roman Sauer are on the papers by Colding and Minicozzi Yau's conjecture and by Kleiner Gromov's theorem on groups of polynomial growth.

Thomas Zamojski's lectures on Rademacher's seminal theorem on Lipschitz maps between Euclidean spaces will finish today (2/12) and notes of his and of Roman's lectures can be found in the "conferences and seminar" section of Roman's web page.

Irene Peng is following with an explanation of Assouad's theorem (which I didn't get to in the first lecture).

Kevin Whyte will next explain Pansu's work on Rademacher's theorem in the Carnot setting (with implications for nilpotent groups). QI Rigidity.

After that, the plan is to move on to work of Semmes, Laakso, and Cheeger, and the "coarse differentiation" of Eskin-Fisher-Whyte. We might also digress to discuss the situations of distortions of embeddings of finite metric spaces, beginning with the work of Bourgin, and also the role of the target Banach space. Volunteers and advice are gratefully accepted.