Orbit Closures of Homogeneous Forms
The P versus NP question is among the most prestigeous of modern mathematics, but deemed out of reach by many of the leading researches in the field. Less widely known is its algebraic analogue, the question of VP versus VNP. We will present the problem and a recent approach to it known as Geometric Complexity Theory, which transitions from computational complexity to algebraic geometry and representation theory. If time permits, the speaker will present some results from his PhD thesis (at TU Berlin) in this context.
Talk given during the 6th BMS Student Conference on the 22nd of February of 2018.