**Monday, June 4, 2018**

School of Math Workshop

“Conference on Optimization, Complexity and Invariant Theory”

Location: Wolfensohn Hall

Time: 9:00 AM

**Description:**This workshop aims to explore connections between complexity and optimization with algebra and analysis, which have emerged from the works on operator scaling. The hope is to inform participants from different communities of both basic tools and new developments, and set out new challenges and directions for this exciting interdisciplinary research.Some of the topics and notions that will be explored include:

**Optimization**: Alternate minimization. Scaling algorithms. Gradient methods for geodesic convexity. Brascamp-Lieb polytopes. Entropy optimality.**Invariant Theory**: Linear group actions, and degree bounds on invariant rings. Nullcone and orbit closure intersection problems. Moment polytopes. Non-commutative duality. Algorithms avoiding Grobner bases.**Computational complexity**: Commutative and non-commutative arithmetic circuits. Symbolic matrices. Polynomial identity testing. Tensor rank. Geometric complexity theory.**Quantum Information Theory**: Completely positive operators. Quantum distillation. Entanglement polytopes.

https://www.math.ias.edu/ocit2018/agenda

**Tuesday, June 5, 2018**

School of Math Workshop

“Conference on Optimization, Complexity and Invariant Theory”

Location: Wolfensohn Hall

Time: 9:00 AM

**Description:**This workshop aims to explore connections between complexity and optimization with algebra and analysis, which have emerged from the works on operator scaling. The hope is to inform participants from different communities of both basic tools and new developments, and set out new challenges and directions for this exciting interdisciplinary research.Some of the topics and notions that will be explored include:

**Optimization**: Alternate minimization. Scaling algorithms. Gradient methods for geodesic convexity. Brascamp-Lieb polytopes. Entropy optimality.**Invariant Theory**: Linear group actions, and degree bounds on invariant rings. Nullcone and orbit closure intersection problems. Moment polytopes. Non-commutative duality. Algorithms avoiding Grobner bases.**Computational complexity**: Commutative and non-commutative arithmetic circuits. Symbolic matrices. Polynomial identity testing. Tensor rank. Geometric complexity theory.**Quantum Information Theory**: Completely positive operators. Quantum distillation. Entanglement polytopes.

https://www.math.ias.edu/ocit2018/agenda

**Wednesday, June 6, 2018**

School of Math Workshop

“Conference on Optimization, Complexity and Invariant Theory”

Location: Wolfensohn Hall

Time: 9:00 AM

**Description:**This workshop aims to explore connections between complexity and optimization with algebra and analysis, which have emerged from the works on operator scaling. The hope is to inform participants from different communities of both basic tools and new developments, and set out new challenges and directions for this exciting interdisciplinary research.Some of the topics and notions that will be explored include:

**Optimization**: Alternate minimization. Scaling algorithms. Gradient methods for geodesic convexity. Brascamp-Lieb polytopes. Entropy optimality.**Invariant Theory**: Linear group actions, and degree bounds on invariant rings. Nullcone and orbit closure intersection problems. Moment polytopes. Non-commutative duality. Algorithms avoiding Grobner bases.**Computational complexity**: Commutative and non-commutative arithmetic circuits. Symbolic matrices. Polynomial identity testing. Tensor rank. Geometric complexity theory.**Quantum Information Theory**: Completely positive operators. Quantum distillation. Entanglement polytopes.

https://www.math.ias.edu/ocit2018/agenda

**Thursday, June 7, 2018**

School of Math Workshop

“Conference on Optimization, Complexity and Invariant Theory”

Location: Wolfensohn Hall

Time: 9:00 AM

**Description:**This workshop aims to explore connections between complexity and optimization with algebra and analysis, which have emerged from the works on operator scaling. The hope is to inform participants from different communities of both basic tools and new developments, and set out new challenges and directions for this exciting interdisciplinary research.**Optimization**: Alternate minimization. Scaling algorithms. Gradient methods for geodesic convexity. Brascamp-Lieb polytopes. Entropy optimality.**Invariant Theory**: Linear group actions, and degree bounds on invariant rings. Nullcone and orbit closure intersection problems. Moment polytopes. Non-commutative duality. Algorithms avoiding Grobner bases.**Computational complexity**: Commutative and non-commutative arithmetic circuits. Symbolic matrices. Polynomial identity testing. Tensor rank. Geometric complexity theory.**Quantum Information Theory**: Completely positive operators. Quantum distillation. Entanglement polytopes.

https://www.math.ias.edu/ocit2018/agenda

**Friday, June 8, 2018**

School of Math Workshop

“Conference on Optimization, Complexity and Invariant Theory”

Location: Wolfensohn Hall

Time: 9:00 AM

**Description:**This workshop aims to explore connections between complexity and optimization with algebra and analysis, which have emerged from the works on operator scaling. The hope is to inform participants from different communities of both basic tools and new developments, and set out new challenges and directions for this exciting interdisciplinary research.**Optimization**: Alternate minimization. Scaling algorithms. Gradient methods for geodesic convexity. Brascamp-Lieb polytopes. Entropy optimality.**Invariant Theory**: Linear group actions, and degree bounds on invariant rings. Nullcone and orbit closure intersection problems. Moment polytopes. Non-commutative duality. Algorithms avoiding Grobner bases.**Computational complexity**: Commutative and non-commutative arithmetic circuits. Symbolic matrices. Polynomial identity testing. Tensor rank. Geometric complexity theory.**Quantum Information Theory**: Completely positive operators. Quantum distillation. Entanglement polytopes.

https://www.math.ias.edu/ocit2018/agenda

**Saturday, July 14, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Sunday, July 15, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Monday, July 16, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Tuesday, July 17, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Wednesday, July 18, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Thursday, July 19, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Friday, July 20, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Saturday, July 21, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Sunday, July 22, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Monday, July 23, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Tuesday, July 24, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Wednesday, July 25, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Thursday, July 26, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Friday, July 27, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Saturday, July 28, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Sunday, July 29, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM

**Monday, July 30, 2018**

Prospects in Theoretical Physics

Time: 5:00 AM