Workshop: Wonders of Broken Integrability
October 26, 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 ultracold atomic gases, nonequilibrium and thermalization properties of manyparticle quantum systems and lowdimensional 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 (nonintegrable) 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 nonintegrable perturbations. Techniques that have been employed to this end include the Truncated Conformal Space Approach and its improvements, formfactor 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.
]]>Some of the most basic questions relating to the Euler and NavierStokes 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 measuretheoretic/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, socalled, 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 CauchyLagrangian numerical schemes for the Euler equation with or without boundaries. Such schemes completely bypass the usual CourantFriedrichsLewy 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 KardarParisiZhang (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 measuretheoretical question can now be addressed: what is the structure of arbitrary large compositions of arbitrary small action incompressible (measurepreserving) motions without any further regularity assumptions?
This workshop is also associated with the program: Geometrical and statistical fluid dynamics.
]]>This event is organized by the Simons Collaboration on Special Holonomy and Geometry. For more information and to see the schedule please visit their website at https://sites.duke.edu/scshgap/progressandproblems2017/
Time  SUN. SEPT. 10  MON. SEPT. 11  TUES. SEPT. 12  WED. SEPT. 13 

8:30  BREAKFAST  
9:30  Simon Salamon  Bobby Acharya  Aleksander Doan  Gao Chen 
10:30  MORNING BREAK  
11:00  Jason Lotay  Daniel Butter  Sebastian Goette  Joel Fine 
12:00  LUNCH  
1:15  Gavin Ball  Lorenzo Foscolo  Sergei Gukov  Thomas Walpuski 
2:30  Robert Bryant  Johannes Nordström  Samson Shatashvili  Song Sun 
3:30  AFTERNOON TEA  –  
4:00  Discussion  Discussion  Discussion 
This conference will be immediately followed by our First annual meeting held at the Simons Foundation in New York City.
]]>For more information and the schedule of talks please visit the full workshop website here: http://sbhep.physics.sunysb.edu/HEP/ATLASbbWorkshop2017/index.html
For more information on the public talks, September 5 at 5:30pm, please visit: http://scgp.stonybrook.edu/archives/22990
]]>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 9:00am10:00am in the Simons Center Cafe, 2nd floor.
Lunch will be served from 12:00pm2:00pm 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  
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  
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  
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  
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  
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  
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  
10:00am  Complexanalytic conformal bootstrap  Dalimil Mazac  102  
11:00am  NA  Break  SCGP Cafe  
11:30am  Complexanalytic conformal bootstrap  Dalimil Mazac  102  
5:30pm  Summer Concert Series  Andrew York  103  
Wednesday July 26  
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  
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  
5:00pm  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  
10:00am  NonSupersymmetric Seiberg Dualities  Adi Armoni  102  
11:00am  NA  Break  SCGP Cafe  
11:30am  NonSupersymmetric Seiberg Dualities  Adi Armoni  102  
2:30pm  Warped Massive Gravity  Gregory Gabadadze  102 
Time  Title  Speaker  Location 
Monday July 31  
10:00am  Strongly Coupled Theories At Large Quantum Number  Simeon Hellerman  102 
11:00am  NA  Break  SCGP Cafe 
11:30am  Strongly Coupled Theories At Large Quantum Number  Simeon Hellerman  102 
Tuesday August 1  
10:00am 

Keith Dienes  102 
11:00am  NA  Break  SCGP Cafe 
11:30am 
A Duality in Quantum Mechanics

Jaume Gomis  102 
5:30pm  Summer Concert Series  Jose Conde, Ola Fresca  SCGP Gallery and Lobby 
Wednesday August 2  
10:00am  Leave for the Beach  Lobby  
11:00am  The longrange Ising model revisited: A new infrared duality  Leonardo Rastelli  Smith Point Beach 
3:00pm  Leave the Beach Back to the Center  Smith Point Beach  
Thursday August 3  
10:00am  Large N Tensor Models  Igor Klebanov  102 
11:00am  NA  Break  SCGP Cafe 
11:30am  Large N Tensor Models  Igor Klebanov  102 
5:00pm  NA  Banquet hosted by Luis AlvarezGaume  Simons Center Cafe 
Friday August 5  
10:00am  The eight field way  Shlomo Razamat  102 
11:00am  NA  Break  SCGP Cafe 
11:30am  The eight field way  Shlomo Razamat  102 
Time  Title  Speaker  Location 
Monday August 7  
10:00am 
Quantum teleportation through wormholes and the black hole interior

Juan Maldacena  102 
11:00am  NA  Break  SCGP Cafe 
11:30am  Quantum teleportation through wormholes and the black hole interior  Juan Maldacena  102 
Tuesday August 8  
10:00am  Applications of the Average Null Energy Condition  Clay Cordova  102 
11:00am  NA  Break  SCGP Cafe 
11:30am  Applications of the Average Null Energy Condition  Clay Cordova  102 
2:00pm  Hidden hyperkahler symmetries and gravitational instantons of type D_k  Radu Ionas  102 
5:30pm  Summer Concert Series  Leon Livshin and Friends  103 
Wednesday August 9  
10:00am  Leave for the Beach  Lobby  
11:00am  Topological field theory and gapped phases of matter  Davide Gaiotto  Smith Point Beach 
3:00pm  Leave the Beach Back to the Center  Smith Point Beach  
Thursday August 10  
10:00am  Higherdimensional analogs of the JordanWigner transformation  Anton Kapustin  102 
11:00am  NA  Break  SCGP Cafe 
11:30am  Higherdimensional analogs of the JordanWigner transformation  Anton Kapustin  102 
6:30pm  NA  Banquet hosted by Michael Bershadsky  Bershadsky Residence 
Friday August 11  
10:00am  Traversable wormholes, and spacetime from entanglement  Daniel Jafferis  102 
11:00am  NA  Break  SCGP Cafe 
11:30am  Traversable wormholes, and spacetime from entanglement  Daniel Jafferis  102 
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 fieldtheoretic importance. The evolution of the gauge coupling is described by the renormalizationgroup beta function. There is particular interest in the properties of the theory at an IR zero of this beta function, where the theory is scaleinvariant 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 nonAbelian 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 nonsupersymmetric 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 quasiconformal behavior. The purpose of this conference is to bring together experts working on all of these approaches to conformal and quasiconformal 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 manybody systems, and also to the holographic principle in the gravityfield 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 onedimensional matrix product state (MPS) or finitely correlated state and is the fixedpoint form that the densitymatrix renormalization group (DMRG) converges to. DMRG and variational MPS algorithms are very efficient in dealing with onedimensional and quasionedimensional gapped quantum systems. Besides the algorithmic advantage, the MPS formulation has been utilized in the complete classification of onedimensional gapped systems. The Mutliscale Entanglement Renormalization Ansatz (MERA) and its generalization can cope with onedimensional gapless systems and is able to obtain, for example, the central charge of a CFT, scaling dimensions of primary and quasiprimary operators, as well as the operatorproduct coefficients. The Projected Entangled Pair States (PEPS) or tensorproduct 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 stringnet models, as well as chiral topological states with a nonzero chiral central charge. In fact the classification of intrinsic topological order and symmetryprotected 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 realspace renormalization procedure, such as tensor renormalization group (TRG), higherorder 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 bulkboundary correspondence have been proposed using holographic quantum errorcorrecting 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 algebrogeometric 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 2630, 2018
Organized by: Piotr Chrusciel, Richard Schoen, Christina Sormani, MuTao Wang, and ShingTung 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. ArnowittDeserMisner gave the welldefined definition for an asymptotically flat isolated system, while BondiTrautman gave the definition of mass after gravitation radiation. By 1970’s, it was wellrecognized 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 SchoenYau in 1980’s. The subject has since undergone rapid developments. SchoenYau’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 BondiTrautman mass in higher dimensions.
The notion of quasilocal mass.
2. Inequalities involving mass: The spacetime Penrose inequality.
The massangular 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 2327, 2017
Organized by: Xiuxiong Chen, Claude LeBrun, Blaine Lawson, and John Morgan
During the week of October 2327, 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 colloquiumstyle talk, intended to explain central themes to a broader audience of graduate students and nonexperts.
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.
Confirmed Speakers:
Stephanie Alexander, UIUC
Simon Brendle, Columbia University
Robert Bryant, Duke
Alice Chang, Princeton University
Jeff Cheeger, Courant Institute
Xiuxiong Chen, Stony Brook University
Fernando Coda Marques, Princeton University
Tobias Colding, MIT
Joel Fine, Universite Libre de Bruxelles
Robert Friedman, Columbia University
Oscar GarciaPrada, CSICMadrid
Paul Gauduchon, Ecole Polytechnique
Karsten Grove, University of Notre Dame
Mark Haskins, University of Bath
Peter Kroheimer, Harvard University
Dusa McDuff, Columbia University
John Morgan, Stony Brook University
Andre Neves, University of Chicago and Imperial College London
Julius Ross, University of Ilinois at Chicago
Dietmar Salamon, ETH Zurich
Dennis P. Sullivan, Stony Brook University
Gabor Szekelyhidi, University of Notre Dame
Richard Thomas, Imperial College London
Bing Wang, UW Madison
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