2016
Dec
15

# Colloquium: Cy Maor (Toronto) "Asymptotic rigidity of manifolds"

2:30pm to 3:30pm

## Location:

Manchester Building (Hall 2), Hebrew University Jerusalem

Liouville's rigidity theorem (1850) states that a map $f:\Omega\subset

R^d \to R^d$ that satisfies $Df \in SO(d)$ is an affine map. Reshetnyak

(1967) generalized this result and showed that if a sequence $f_n$

satisfies $Df_n \to SO(d)$ in $L^p$, then $f_n$ converges to an affine

map.

In this talk I will discuss generalizations of these theorems to mappings

between manifolds and sketch the main ideas of the proof (using techniques

from the calculus of variations and from harmonic analysis).

R^d \to R^d$ that satisfies $Df \in SO(d)$ is an affine map. Reshetnyak

(1967) generalized this result and showed that if a sequence $f_n$

satisfies $Df_n \to SO(d)$ in $L^p$, then $f_n$ converges to an affine

map.

In this talk I will discuss generalizations of these theorems to mappings

between manifolds and sketch the main ideas of the proof (using techniques

from the calculus of variations and from harmonic analysis).