Research in geometric complexity theory

  • What is computational complexity theory in research?

    Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems..

  • What is the introduction of geometric complexity theory?

    Geometric complexity theory is an approach towards proving lower bounds in algebraic complexity theory via methods from algebraic geometry and representation theory.
    It was introduced by Mulmuley and Sohoni and has gained significant momentum over the last few years..

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.
Davenport–Schinzel Sequences and Their Geometric Applications is a book in discrete geometry.
It was written by Micha Sharir and Pankaj K.
Agarwal, and published by Cambridge University Press in 1995, with a paperback reprint in 2010.
Fisher's geometric model (FGM) is an evolutionary model of the effect sizes and effect on fitness of spontaneous mutations proposed by Ronald Fisher to explain the distribution of effects of mutations that could contribute to adaptative evolution.

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