**Mondays, Tuesdays, Thursdays, and Fridays
**

All talks will be held in the Simons Center for Geometry and Physics Lecture Hall (Room 102).

Breakfast will be served daily from 9:00am-10:00am in the Simons Center Cafe, 2nd floor.

Lunch will be served from 12:00pm-2:00pm in the Simons Center Cafe, 2nd floor.

Tea time will be in the Simons Center Lobby at 3:30pm.

**Wednesdays**

The talk will be at Smith Point Beach (please see transportation website). Lunch will be served at Smith Point Beach around 12:30pm.

*Speakers and titles will be added to the schedule throughout the workshop.

Time | Title | Speaker | Location |

Monday, July 17 |
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10:00am | Symmetry in Quantum Gravity and Other Swampland Conditions | Hirosi Ooguri | 102 |

11:00am | N/A | Break | SCGP Cafe |

11:30am | Symmetry in Quantum Gravity and Other Swampland Conditions | Hirosi Ooguri | SCGP 102 |

Tuesday, July 18 |
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10:00am | Longitudinal string interactions and black hole dynamics | Eva Silverstein | 102 |

11:00am | N/A | Break | SCGP Cafe |

11:30am | Longitudinal string interactions and black hole dynamics | Eva Silverstein | SCGP 102 |

5:30pm | Summer Concert Series | Early Bird Jazz Band | 103 |

Wednesday July 19 |
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10:00am | Leave for the Beach | Lobby | |

11:00am | Dynamics of QCD in Four and Three Dimensions | Zohar Komargodski | Smith Point Beach |

3:00pm | Leave the Beach- Back to the Center | Smith Point Beach | |

Thursday July 20 |
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10:00am | Quantum de Sitter spacetime | David Lowe | SCGP 102 |

11:00am | N/A | Break | SCGP Cafe |

11:30am | Quantum de Sitter spacetime | David Lowe | SCGP 102 |

7:00pm | N/A | Summer Workshop Party – Hosted by Martin Rocek and Ute Moll | 11 Shipyard Ln, Setauket- East Setauket, NY 11733, USA |

Friday July 21 |
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10:00am | Accessing the CFT Operator Spectrum at Large Global Charge | Domenico Orlando | SCGP 102 |

11:00am | N/A | Break | SCGP Cafe |

11:30am | Accessing the CFT Operator Spectrum at Large Global Charge | Domenico Orlando | SCGP 102 |

Time | Title | Speaker | Location | |

Monday, July 24 |
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10:00am | $T\bar{T}$ deformation, $NAdS_2$ holography and the QCD String | Sergei Dubovsky | 102 | |

11:00am | NA | Break | SCGP Cafe | |

11:30am | $T\bar{T}$ deformation, $NAdS_2$ holography and the QCD String | Sergei Dubovsky | 102 | |

Tuesday, July 25 |
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10:00am | Complex-analytic conformal bootstrap | Dalimil Mazac | 102 | |

11:00am | NA | Break | SCGP Cafe | |

11:30am | Complex-analytic conformal bootstrap | Dalimil Mazac | 102 | |

5:30pm | Summer Concert Series | Andrew York | 103 | |

Wednesday July 26 |
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10:00am | Leave for the Beach | Lobby | ||

11:00am | 3X | Sergei Gukov | Smith Point Beach | |

3:00pm | Leave the Beach- Back to the Center | Smith Point Beach | ||

Thursday July 27 |
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10:00am | AdS_2 / CFT_1 from AdS_4 / CFT_3 | Silviu Pufu | 102 | |

11:00am | NA | Break | SCGP Cafe | |

11:30am | AdS_2 / CFT_1 from AdS_4 / CFT_3 | Silviu Pufu | 102 | |

5:30pm | Screening of “Whispers of String Theory” | Ekaterina Eremenko | 103 | |

6:30pm | NA | Banquet hosted by Jim Simons at Avalon Park | Avalon Barn | |

Friday July 28 |
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10:00am | Non-Supersymmetric Seiberg Dualities | Adi Armoni | 102 | |

11:00am | NA | Break | SCGP Cafe | |

11:30am | Non-Supersymmetric Seiberg Dualities | Adi Armoni | 102 | |

2:30pm | Warped Massive Gravity | Gregory Gabadadze | 102 |

Time | Title | Speaker | Location |

Monday July 31 |
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10:00am | 102 | ||

Tuesday August 1 |
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10:00am | 102 | ||

5:30pm | Summer Concert Series | Jose Conde, Ola Fresca | 103 |

Wednesday August 2 |
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10:00am | Leave for the Beach | Lobby | |

11:00am | Smith Point Beach | ||

3:00pm | Leave the Beach- Back to the Center | Smith Point Beach | |

Thursday August 3 |
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10:00am | 102 | ||

5:00pm | NA | Banquet hosted by Luis Alvarez-Gaume | Simons Center Cafe |

Friday August 5 |
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10:00am | 102 |

Time | Title | Speaker | Location |

Monday August 7 |
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10:00am | 102 | ||

Tuesday August 8 |
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10:00am | 102 | ||

4:30pm | 102 | ||

5:30pm | Summer Concert Series | Leon Livshin and Friends | 103 |

Wednesday August 9 |
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10:00am | Leave for the Beach | Lobby | |

11:00am | Smith Point Beach | ||

3:00pm | Leave the Beach- Back to the Center | Smith Point Beach | |

Thursday August 10 |
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10:00am | 102 | ||

6:30pm | NA | Banquet hosted by Michael Bershadsky | Bershadsky Residence |

Friday August 11 |
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10:00am | 102 |

Workshop: Wonders of Broken Integrability

October 2-6, 2017

Organized by: Fabian Essler, Giuseppe Mussardo and Alexei Tsvelik

Quantum Integrability is one of the most significant concepts of modern science, characterized by a wide spectrum of applications and fascinating mathematical properties. Striking advances in the fields of ultra-cold atomic gases, non-equilibrium and thermalization properties of many-particle quantum systems and low-dimensional quantum magnetism have led to a huge increase in interest and activity in the subject in recent years.

Concepts and methods related to quantum integrability have opened up the way for the exact determination of some of the most important dynamical properties of strongly interacting many particle quantum systems. These developments have created an enticing setting for scientists interested in purely mathematical aspects as well as those wishing to have close contact with experiments. Results obtained for integrable theories often display a degree of robustness with respect to perturbations and therefore provide very useful paradigms for understanding the physical properties of real (non-integrable) systems.

The purpose of this workshop, organized in connection to the program Hydrodynamics, ergodicity, entanglement and localization in interacting lattice models and field theories, is to further explore the use of the detailed information on e.g. the spectrum and matrix elements of local operators available for quantum integrable models, to investigate the properties of non-integrable perturbations. Techniques that have been employed to this end include the Truncated Conformal Space Approach and its improvements, form-factor perturbation theory, semiclassical approximations and tensor network methods.

The aim of the workshop is to bring together experts in the various techniques in order to discuss the recent theoretical and numerical developments and applications of the various methods to cold atom physics, quantum quenches, quasi one dimensional quantum magnets, relativistic QFT in 1+1 dimensions and disordered systems.

Application deadline: August 2, 2017 (or when event is at maximum capacity). Applicants will be notified soon after this date of their acceptance.

Apply to a Workshop Now ]]>The evolution of an asymptotically free gauge theory from large Euclidean momentum in the ultraviolet (UV) to small momentum scales in the infrared (IR) is of fundamental field-theoretic importance. The evolution of the gauge coupling is described by the renormalization-group beta function. There is particular interest in the properties of the theory at an IR zero of this beta function, where the theory is scale-invariant and inferred to be conformally invariant. Consider a vectorial gauge theory with a gauge group G and a set of Nf massless fermions transforming according to a representation R of G. There is a range of Nf such that the theory flows from the UV to a deconfined chirally symmetric conformal non-Abelian Coulomb phase (NACP) associated with an IR zero of the beta function, which is an IR fixed point (IRFP) of the renormalization group. In contrast, for small Nf , the theory exhibits confinement with spontaneous chiral symmetry breaking in the IR. Although a number of exact results have been established for supersymmetric gauge theories, many questions are still unanswered and are under current investigation for non-supersymmetric gauge theories; for example, (i) what is the minimum value of Nf (in a theory with a given G and R) for which the theory evolves to the NACP in the infrared? (ii) what are the scaling dimensions of various physical operators at the IRFP?

In the past few years there has been an intensive program of research to understand the properties of this evolution and the resultant conformal field theory better. This program has involved both continuum approaches (e.g., series expansions and conformal bootstrap methods) and lattice gauge theory simulations. It is also of interest to investigate theories which exhibit a slowly running coupling associated with an approximate IRFP and hence quasi-conformal behavior. The purpose of this conference is to bring together experts working on all of these approaches to conformal and quasi-conformal field theories, so that they may present their new results, learn about the work of other groups, exchange ideas, and hopefully generate new results.

Workshop Application Deadline: November 8, 2017 (or when event is at maximum capacity). Applicants will be contacted soon after this date.

Apply to a Workshop Now ]]>Over the past few decades we have witnessed a rapid exchange and infuse of ideas across different fields: from entanglement in quantum information to quantum phase transitions and topological order in many-body systems, and also to the holographic principle in the gravity-field theory (AdS/CFT) duality. A very useful framework that emerges from behind the curtain is that of tensor networks. Tensor Networks (TN) are rapidly evolving as an important tool and language and are employed by researchers of various different fields.

The simplest TN is the one-dimensional matrix product state (MPS) or finitely correlated state and is the fixed-point form that the density-matrix renormalization group (DMRG) converges to. DMRG and variational MPS algorithms are very efficient in dealing with one-dimensional and quasi-one-dimensional gapped quantum systems. Besides the algorithmic advantage, the MPS formulation has been utilized in the complete classification of one-dimensional gapped systems. The Mutli-scale Entanglement Renormalization Ansatz (MERA) and its generalization can cope with one-dimensional gapless systems and is able to obtain, for example, the central charge of a CFT, scaling dimensions of primary and quasi-primary operators, as well as the operator-product coefficients. The Projected Entangled Pair States (PEPS) or tensor-product states were a generalization of MPS to two and higher dimensions. They embody the entanglement area law and have been used variationally to approximate ground state wavefunctions. They can also be used to represent topologically ordered states, such eigenstates of the toric code and string-net models, as well as chiral topological states with a nonzero chiral central charge. In fact the classification of intrinsic topological order and symmetry-protected topological order can also be described in the same framework of PEPS. In order to compute physical properties, such as energy and other local observables, the corresponding tensor network needs to be contracted. Methods using real-space renormalization procedure, such as tensor renormalization group (TRG), higher-order TRG (HOTRG), corner transfer matrix (CTM), and more recently tensor network renormalization (TNR) have been proposed and were also successfully applied. Among many recent developments, the connection of TNs to holography is particularly interesting. It was proposed that MERA or a generalization of such tensor network is a discretized version of the AdS/CFT correspondence and a manifestation of the holographic nature entanglement, which may play a central role in a consistent theory of quantum gravity and emergence of spacetime. Other toy models for such bulk-boundary correspondence have been proposed using holographic quantum error-correcting codes, and using perfect and random tensors.

At such an exciting juncture, this proposed workshop aims to bring together experts in various related fields, and under such an embracing theme of tensor network the scientific activities and discussions in this workshop will generate further novel ideas linking different fields.

Workshop Application Deadline: October 11, 2017 (or when event is at maximum capacity). Applicants will be contacted soon after this date.

Apply to a Workshop Now ]]>Categorification is one of the deepest ideas in contemporary mathematics. As the name indicates, it aims to generalize various statements to a categorical level, replacing sets by categories, functions by functors, etc. It led to important developments in various branches of mathematics, among others in knot theory (where polynomial knot invariants turned out to arise simply as dimensions of certain homological spaces, such as Khovanov homology and its generalizations), or in the algebro-geometric setting (involving objects such as coherent sheaves on Hilbert schemes of points). At the same time, categorification turns out to be related to physics, in particular to the process of quantization, and to various fundamental aspects of quantum field theory and string theory.

This workshop will focus on various aspects of categorification in mathematical physics, with particular emphasis on geometric and representation theoretic approaches to conceptualizing and computing knot invariants, and their relations with supersymmetric field theories and string theory.

Workshop Application Deadline: February 9, 2018 (or when event is at maximum capacity). Applicants will be contacted soon after this date.

]]>Workshop: Mass in General Relativity

March 26-30, 2018

Organized by: Piotr Chrusciel, Richard Schoen, Christina Sormani, Mu-Tao Wang, and Shing-Tung Yau

Due to the equivalence principle and the lack of an absolute space, the understanding of the fundamental notion of mass in general relativity has been subtle since Einstein’s time. Arnowitt-Deser-Misner gave the well-defined definition for an asymptotically flat isolated system, while Bondi-Trautman gave the definition of mass after gravitation radiation. By 1970’s, it was well-recognized that the positivity of these notions, which is intimately related to the stability of the system, lies in the foundation of the theory of general relativity. There was an intense period of the study and the efforts culminated in the proof of the positive mass theorem by Schoen-Yau in 1980’s. The subject has since undergone rapid developments. Schoen-Yau’s proof led to the deeper understanding of initial data sets and trapped surfaces. Witten’s proof led to the notion of mass on asymptotically hyperbolic initial data and the positivity. Many new ideas and techniques from geometric analysis and physics emerge and are applied into the study. The goal of this workshop is to provide a setting for the most cutting edge results to be presented, and to facilitate interaction among researchers. The topics include, but not limit to, the following:

1. Mass and boundary conditions: The notion of mass for asymptotically (A)dS space and the relation to the AdS/CFT correspondence.

The notion of Bondi-Trautman mass in higher dimensions.

The notion of quasi-local mass.

2. Inequalities involving mass: The spacetime Penrose inequality.

The mass-angular momentum inequality.

3. Mass and interior geometry: What does the mass defined at the (either finite or infinity) boundary tell us about the interior?

When the mass is small, the interior should be close to a flat space.

On the other hand, when the mass is large enough compared to other geometric data, black hole or trapped surface should form.

This is within the context of the hoop conjecture.

4. Mass and initial data set construction: Density theorems.

Center of mass and CMC foliations.

Workshop Application Deadline: January 26, 2018 (or when event is at maximum capacity). Applicants will be contacted soon after this date.

Apply to a Workshop Now ]]>Workshop: Geometry of Manifolds

October 23-27, 2017

Organized by: Xiuxiong Chen, Claude LeBrun, Blaine Lawson, and John Morgan

During the week of October 23-27, 2017, the Simons Center for Geometry and Physics will host a workshop concerning canonical geometric structures on differentiable manifolds. Key researchers in differential geometry, gauge theory, complex geometry, symplectic geometry, and related disciplines will present overviews of their areas of expertise, and report on the current state of research. One lecture each day will be designated as a colloquium-style talk, intended to explain central themes to a broader audience of graduate students and non-experts.

We note with pleasure that Sir Simon Donaldson will turn 60 in 2017. Since Cambridge University will host a conference officially celebrating this event in August, we wish to avoid interfering with those festivities, and so will not describe our workshop as a “birthday conference.” However, it is an honor and a privilege to announce that our conference banquet will nonetheless be dedicated to the celebration of Sir Simon’s birthday, in the broader context of honoring his magnificent contributions to mathematics.

Workshop Application Deadline: August 23, 2017 (or when event is at maximum capacity). Applicants will be contacted soon after this date.

Apply to a Workshop Now ]]>Organized by: Alexander Abanov, Sriram Ganeshan, Kristan Jensen, and Vadim Oganesyan

Recent years have witnessed significant progress in understanding the behavior of quantum many-body systems without relying on the age-old assumptions of thermalization or equilibration. Qualitatively new and different real-time dynamics have been found in fields ranging from condensed matter systems to strongly interacting theories with string duals. This workshop will attempt to survey and bridge these exciting advances, bringing together a diverse community of active participants.

This workshop is a part of the program: Hydrodynamics, ergodicity, entanglement and localization in interacting lattice models and field theories: September 11 – December 15, 2017.

Workshop Application Deadline: September 13, 2017 (or when event is at maximum capacity). Applicants will be contacted soon after this date.

Apply to a Workshop Now ]]>Organized by: Uriel Frisch, Konstantin Khanin and Rahul Pandit

Some of the most basic questions relating to the Euler and Navier-Stokes equations for the motion of a 3D incompressible fluid are still open. There is a strong belief that answers to these questions cannot be obtained without creative use of geometric/Lagrangian and measure-theoretic/probabilistic tools. This is the purpose of the present workshop. It will bring together two communities – mathematicians and physicists/numericists – and will establish a common language that allows them to work together on these questions.

On the mathematical side, the emphasis will be on geometrical and statistical/stochastic methods to tackle both continuous and discrete versions of hydrodynamics.

On the physical and computational side, the novelty is, to a large extent, the realization that Lagrangian methods – where one follows fluid particles – give us much more geometric and dynamic insight than, so-called, Eulerian ones.

In recent years there has been a strong renewal of interest in the Lagrangian description of flows. It was shown that the Cauchy invariants can be used to develop highly efficient Cauchy-Lagrangian numerical schemes for the Euler equation with or without boundaries. Such schemes completely bypass the usual Courant-Friedrichs-Lewy condition on the size of time steps and thus can be orders of magnitude faster than Eulerian methods.

Turbulent flow, in the limit of large Reynolds numbers, may be viewed as weak dissipative solutions of the Euler equations. There has been much progress recently regarding the Eulerian description of such flow.

There has been an important recent development in the theory of stochastic PDEs with highly singular forcing and thus very rough paths, such as the Kardar-Parisi-Zhang (KPZ) problem. It is of considerable interest to try to apply such ideas to genuine hydrodynamical problems.

Revisiting the mathematical foundations of fluid evolution models. For example, a fundamental geometrical and measure-theoretical question can now be addressed: what is the structure of arbitrary large compositions of arbitrary small action incompressible (measure-preserving) motions without any further regularity assumptions?

This workshop is also associated with the program: Geometrical and statistical fluid dynamics.

Workshop Application Deadline: July 11, 2017 (or when event is at maximum capacity). Applicants will be contacted soon after this date.

Apply to a Workshop Now ]]>