\n
*Abstract*.

\n Grothendieck's ineq
uality is a fundamental result to the\n the
ory of Banach spaces. But many years after Grothen
dieck\n published this result, people reali
zed that it also has\n important applicatio
ns in theoretical computer science and\n ph
ysics. In particular, the inequality can be used i
n quantum\n information theory to study the
mysterious phenomenon of\n quantum entangl
ement and in combinatorial optimization to\n
prove performance guarantees of efficient approx
imation\n algorithms for NP-hard problems.
The aim of this talk is to\n give an overvi
ew of these applications and explain why\n
Grothendieck's inequality and recent generalizatio
ns of it are\n powerful mathematical tools
to study them.\n

\n The General Mathematics Colloquium homepage can be found at\nhtt p://www.science.uva.nl/research/math/Calendar/coll oq/\n

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