October 10, P.Hajlasz: Sobolev inequality, isoperimetric inequality and Gromov's proof.
I covered the material from pages 166-193 from the following notes:
October 17, P.Hajlasz: Brunn-Minkowski inequality, isoperimetric inequality and the boxing inequality.
The Brunn-Minkowski inequality.
October 24, S.Zimmerman: The Sard theorem.
The talk is based on the proof that you can find in the following book on pages 195-198.
J.E.Marsden, T.Ratiu, R.Abraham, Manifolds, Tensor Analysis, and Applications
October 31, S. Malekzadeh: The change of variables formula under the miniman assumptions
The talk is based on the paper:
P.Hajlasz, Change of variables formula under minimal assumptions.
Colloq. Math. 64 (1993), 93--101.
pdf
November 14, P. Hajlasz:
Maximal functions and Sobolev spaces (Not yet available.)
November 28, X. Zhou:
The Hausdorff Dimension of the Cantor Set
December 4, S. Malekzadeh:
Change of variables for locally Lipschitz mappings
January 9, J. Mirra:
January 16, S. Zimmerman:
January 23, S. Zimmerman:
January 30, Kevin Wildrick:
The Heisenberg group as a metric space
February 6 - 8, Scott Sheffield:
February 20, Soheil Malekzadeh:
Lusin's condition (N) and mappings of the class W^1,n
February 27, Dr. P. Hajlasz:
The theorem of Meyers and Ziemer
March 6, J. Mirra:
Classification of all Conformal Maps on domains in R^n (Assuming C^4 Differentiability)
This talk was based on pp. 255-283 of the notes.
March 20, S. Malekzadeh:
Measures on Rn and von Neumann theorem (I)
March 27, S. Malekzadeh:
Measures on Rn and von Neumann theorem (II)
April 3, Qing Liu: