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algebra:start [2018/09/06 00:00] Algebraic and Geometric Complexity [Open questions] |
algebra:start [2018/12/12 04:44] (current) Algebraic and Geometric Complexity |
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- | Next meeting: Friday, September 7, 2:00 pm in room 116 (if the room is available). Mrinal Kumar will talk about [[https://arxiv.org/abs/1804.03303]]. | ||
- | The usual meeting time is Tuesdays, 4:00pm-5:30pm. | + | ===== Past talks ===== |
+ | |||
+ | * 2018-12-11: Amir Yehudayoff, Proof complexity | ||
+ | * 2018-11-27: Nutan Limaye, Waring rank of monomials | ||
+ | * 2018-11-13: Vishwas Bhargava, Deterministic Factorization of Sparse Polynomials of Bounded Individual Degree | ||
+ | * 2018-10-23: Christian Ikenmeyer, Young flattenings | ||
+ | * 2018-10-09: Eric Allender, Dual VP classes | ||
+ | * 2018-10-02: Christian Ikenmeyer, No occurrence obstructions in geometric complexity theory | ||
+ | * 2018-09-25: Mrinal Kumar, Generalized matrix completion and algebraic natural proofs | ||
+ | * 2018-09-18: Rafael Oliveira, Barriers for Rank Methods in Arithmetic Complexity [[https://arxiv.org/abs/1710.09502]]. | ||
+ | * 2018-09-07: Mrinal Kumar, On top fan-in vs formal degree for depth-3 arithmetic circuits | ||
+ | * 2018-09-04: Christian Ikenmeyer, Introduction to the representation theory of the general linear group | ||
- | We will **not** have a meeting during the Boolean Devices workshop. | ||
===== Papers ===== | ===== Papers ===== | ||
+ | * Bhargava, Saraf, Volkovich, 2018, Deterministic Factorization of Sparse Polynomials with Bounded Individual Degree [[https://arxiv.org/abs/1808.06655|link]] | ||
+ | * Allender, Gal, Mertz, 2014, Dual VP classes [[https://eccc.weizmann.ac.il/report/2014/122/|link]] | ||
+ | * Bürgisser, Ikenmeyer, Panova, 2016, No occurrence obstructions in geometric complexity theory [[https://arxiv.org/abs/1604.06431|link]] | ||
* Kumar, 2018, On top fan-in vs formal degree for depth-3 arithmetic circuits [[https://arxiv.org/abs/1804.03303|link]] | * Kumar, 2018, On top fan-in vs formal degree for depth-3 arithmetic circuits [[https://arxiv.org/abs/1804.03303|link]] | ||
* Efremenko, Garg, Oliveira, Wigderson, 2017, Barriers for Rank Methods in Arithmetic Complexity [[https://arxiv.org/abs/1710.09502|link]] | * Efremenko, Garg, Oliveira, Wigderson, 2017, Barriers for Rank Methods in Arithmetic Complexity [[https://arxiv.org/abs/1710.09502|link]] | ||
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* GCT lecture notes [[http://people.mpi-inf.mpg.de/~cikenmey/teaching/summer17/introtogct/gct.pdf|link]] | * GCT lecture notes [[http://people.mpi-inf.mpg.de/~cikenmey/teaching/summer17/introtogct/gct.pdf|link]] | ||
- | ===== Open problems ===== | ||
- | |||
- | * Does the class of p-families of polynomially bounded Waring rank equal the class of p-families of polynomially bounded border Waring rank? | ||
- | * Is the Euclidean closure of the class VF of p-families of polynomially bounded formula size contained in VNP? | ||
===== MathJax ===== | ===== MathJax ===== |