Geometric complexity theory: Difference between revisions

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| title = The Status of the P Versus NP Problem

| volume = 52

| year = 2009}}| citeseerx = 10.</ref>1.1.156.767

| s2cid = 5969255

}}.</ref>

The program is pursued by several researchers in mathematics and theoretical computer science. Part of the reason for the interest in the program is the existence of arguments for the program avoiding known barriers such as [[Oracle machine|relativization]] and [[natural proof]]s for proving general lower bounds.<ref>{{Cite journal|last=Mulmuley|first=Ketan D.|date=2011-04-01|title=On P vs. NP and geometric complexity theory: Dedicated to Sri Ramakrishna|url=http://dl.acm.org/citation.cfm?id=1944345.1944346|journal=Journal of the ACM (JACM)|volume=58|issue=2|pages=5|doi=10.1145/1944345.1944346|s2cid=7703175 |issn=0004-5411|url-access=subscription}}</ref>

== References ==

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K. D. Mulmuley, H. Narayanan, and M. Sohoni. Geometric complexity theory III: on deciding nonvanishing of a Littlewood-Richardson coefficient. J. Algebraic Combin. 36 (2012), no. 1, 103–110.

K. D. Mulmuley. Geometric Complexity Theory V: EquivalenceEfficient betweenalgorithms blackboxfor derandomizationNoether ofnormalization. polynomialJ. identityAmer. testingMath. andSoc. derandomization30 of(2017), Noether's Normalization Lemmano. FOCS 20121, also225-309. [[arxiv:1209.5993|arXiv:1209.5993 [cs.CC]]]

K. D. Mulmuley. Geometric Complexity Theory VI: the flip via positivity., Technical Report, Computer Science department, The University of Chicago, January 2011.

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* [http://gct.cs.uchicago.edu/ GCT page, University of Chicago]

* [http://simons.berkeley.edu/workshop_alggeometry1.html Description on the Simons Institute webpage]

* [httphttps://cstheory.stackexchange.com/questions/tagged/gct GCT questions] on [[cstheory]]

* [httphttps://cstheory.stackexchange.com/aq/17629 Wikipedia-style explanation of Geometric Complexity Theory] by Joshua Grochow

* [https://mathoverflow.net/questionsq/277408/what- What are- the- current- breakthroughs- of-geometric-complexity-theory Geometric Complexity Theory?]

* https://mathoverflow.net/questions/243011/why-should-algebraic-geometers-and-representation-theorists-care-about-geometric/

[[Category:Computational complexity theory]]