## Schedule of Courses

### Course I: Analysis on P.C.F. Self-Similar Fractals

Robert Strichartz, Cornell University

Lecture 1: Energy on [0,1] and Sierpinski gasket

Lecture 2: Laplacian, normal derivatives, Gauss-Green formula

Lecture 3: Spectral decimation

Lecture 4: p.c.f. fractals

Lecture 5: Blowups, fractafolds and products

Textbook: Differential Equations on Fractals: a tutorial, Princeton University Press, 2006

### Course II: Topics in Analysis and Probability on Fractals

Wednesday, June 11

Random walks on the Sierpinski gasket and related questions

Benjamin Steinhurst, McDaniel College

Thursday, June 12

*Resistance estimates and Harnack inequalities on fractals*

Daniel Kelleher, Purdue University

Friday, June 13

Resistance estimates and Harnack inequalities on fractals

Daniel Kelleher, Purdue University

Saturday, June 14

Elements of differential geometry on fractals

Luke Rogers, University of Connecticut

Sunday, June 15

Elements of differential geometry on fractals

Luke Rogers, University of Connecticut