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algebra:start [2018/10/22 23:30]
Algebraic and Geometric Complexity
algebra:start [2018/12/12 04:44]
Algebraic and Geometric Complexity
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-Next meetingTuesdayOctober 23, **5:00 pm** (not 5:10pm) in room 116 (the room is reserved ​for us). Christian Ikenmeyer ​will explain the concept of Young flatteningstalk about the connections between the method ​of shifted partial derivatives and Young flattenings,​ and about what has been achieved with Young flattenings so far.+ 
 +===== Past talks ===== 
 + 
 +  * 2018-12-11Amir YehudayoffProof complexity  
 +  * 2018-11-27: Nutan LimayeWaring rank of monomials  
 +  ​2018-11-13: Vishwas Bhargava, Deterministic Factorization of Sparse Polynomials of Bounded Individual Degree  
 +  ​2018-10-23Christian Ikenmeyer, Young flattenings 
 +  ​2018-10-09: Eric Allender, Dual VP classes 
 +  ​2018-10-02Christian 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 
  
  
 ===== 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]]   * 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]]   * Bürgisser, Ikenmeyer, Panova, 2016, No occurrence obstructions in geometric complexity theory [[https://​arxiv.org/​abs/​1604.06431|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? 
- 
-===== Past talks ===== 
- 
-  * 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 
  
 ===== MathJax ===== ===== MathJax =====
algebra/start.txt · Last modified: 2018/12/12 04:44 by Algebraic and Geometric Complexity