| Kurzkommentar |
Geometric complexity theory is an ambitious program initiated in 2001 by Mulmuley and Sohoni towards solving the famous P vs NP problem. The idea is to use algebraic geometry and representation theory to prove complexity lower bounds for explicit problems. There has been a significant amount of research activity in this direction during the last few years and connections to tensor rank and matrix multiplication have been drawn.
In this course we will give short introductions to algebraic complexity theory, to basic algebraic geometry, and to classical representation theory. The goal is to give a first introduction to geometric complexity theory and cover some of the recent results.
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