Who? Professor Charles Fefferman
What? Quantitative Differentiation
When? Thursday, February 21 at 4:30
Where? Fine Room TBA
Abstract: Let f(x) be a Lipschitz continuous function on R^n. By a standard theorem of real analysis, f is differentiable at almost every point x0. Under a powerful microscope, the graph of f near such a point looks almost linear. How powerful must the microscope be?
A curious identity, originally discovered in studying quantum mechanics, plays a role. No special background (in math or physics) will be assumed.
Hope to see you there!