Quasi-isometric embeddings of higher rank symmetric spaces

Jeudi 29 octobre 2009 14:00-15:00 - Fisher David - Indiana

Résumé : I will describe some results and examples concerning quasi-isometric embeddings of a higher rank irreducible symmetric space X into a higher rank irreducible symmetric space Y. Particularly in the case $rk(X)=rk(Y)$. I will give some conditions under which any such qi embedding is close to an isometric embedding. I will also exhibit explicit embeddings of $SL(n,R)$ into $SP(2(n-1),R)$ which shows that there are qi embeddings that are not close to isometric ones.
This is joint work with Kevin Whyte.

Lieu : bât. 425 - 121-123

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