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Probably the best answer. Abstract: Knizhnik-Zamolodchikov equation, originally found in the context of a two dimensional conformal field theory, has recently been found in the context of instanton counting, albeit with a significantly extended domain of allowed parameters (level, spins etc). An exchange that was otherwise quite lively and interesting, you paint in the worst possible way. (Anyway, String Theory is mainly about Quantum Gravity). Title: Topological Langlands duality and 1-form symmetries Postal Address:Instituto de Matemtica Pura e Aplicada String Math 2021 - Simon Donaldson (Imperial College) - YouTube AP Computer Science A. Really amazing work! Dec 18, 2021 at 16:43. How to evaluate string mathematical expressions in java script? Adrian, We physically derive (i) a novel Vafa-Witten four-manifold invariant associated with this moduli space, (ii) their relation to Gromov-Witten invariants, (iii) a novel Vafa-Witten Floer homology assigned to three-manifold boundaries, (iv) a novel Vafa-Witten Atiyah-Floer correspondence, (v) a proof and generalization of a conjecture by Abouzaid-Manolescu about the hypercohomology of a perverse sheaf of vanishing cycles, (vi) a Langlands duality of these invariants, Floer homologies and hypercohomology, and (vii) a quantum geometric Langlands correspondence with purely imaginary parameter that specializes to the classical correspondence in the zero-coupling limit, where Higgs bundles feature in (ii), (iv), (vi) and (vii). This topic has been recently explored,from several differentperspectives,by Kontsevich-Soibelman and Doan-Rezchikov. I did watch fully the discussions I wrote about here, also took a look at many of the others. Francis (Skip) Fennell | Nov 3, 2021 . A better version was given September 22, 2021 at Yan Soibelman's M-seminar. Abstract: Recently, higher categorical understandings of quantum field theories have been rapidly developing. What hes doing is emphasizing ideas that are often not taught in conventional QFT courses (although they should be). [Slides], Martin Bies (University of Pennsylvania) Equivalent plumbing graphs suggest dual theories. How to transform string into integers and operators in Javascript? String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. This is a joint work with K. Ohmori (U. Tokyo). But I went through the hard road, being told just to accept all fundamental questions I raised above as unanswered and move on to the cutting-edge problems whatever and whonever decides what these are. I dont think I was misrepresenting those at all. The EMS prizes are always a good indication of future Fields medalists All, You wrote Mark Gross Cookies and PrivacyAboutEventsNews You can sanitize the string with a regex first to be safe: If you wanted another method, you'd have to use a pure Javascript implementation of the exact thing eval is going to do. For a so called well defined mathematical theory, cannot be tweaked etc, the number of unsolved issues with it and the claim not understanding what string theory is is inconsistent. Im posting this since I thought it could be useful for those very busy hep-ph physicists who may wish to go directly to (what I & surely many others) considers as the key moment from perspective lectures. Chrome's Content Security Policy will still throw EvalError, Creating constructor doesn't make sense here and it takes unnecessary resources. Jerome Gauntlett, Rajesh Gopakumar, Mariana Grana, Michael Green, David Gross, Daniel Grumiller, Jeff Harvey, Marc Henneaux, Veronika Hubeny, Marina Huerta, Janet Hung, Antal Jevicki, Clifford Johnson, Shamit Kachru, Zohar Komargodski, Finn Larsen, Yolanda Lozano, Kimyeong Lee, Dieter Luest, Juan Maldacena, Shiraz Minwalla, Jeff Murugan, Rob Myers, Hirosi Ooguri, Leo Pando-Zayas, Silvia Penati, Fernando Quevedo, Eliezer Rabinovici, John Schwarz, Nathan Seiberg, Ashoke Sen, Steve Shenker, Eva Silverstein, Wei Song, Andy Strominger, Tadashi Takayanagi, Sandeep Trivedi, Cumrun Vafa, Pedro Vieira, Anastasia Volovich, Spenta Wadia, Edward Witten, Konstantin Zarembo. Over-claim? How do I align things in the following tabular environment? Title:Plumbing graphs with matter To each 3-manifold equipped with a spin^c structure, is supposed to assign a q-series with integer coefficients that is categorifiable and provides an analytic continuation of the Witten-Reshetikhin-Turaev invariants. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds Title: Category of QFTs and differential cohomology [Slides] [Video], Davide Gaiotto (Perimeter Institute) But this procedure you adopted in this post, is not the best way of understanding science, or communicating it. How to check whether a string contains a substring in JavaScript? 3 years ago, F_K invariants of knot complements in 3-sphere have been proposed. Sat 3 Apr 2021 12.00 EDT Last modified on Tue 6 Apr 2021 09.54 EDT. He lists two main things we know about the supposed theory: 1. Title: Towards F-theory MSSMs Matthias Gaberdiel Abstract: Gauge-String duality(or the AdS/CFT correspondence, as a special case) has wide ranging ramifications in physics as well as mathematics. String theory calculations that can be done in unphysical situations (wrong dimension, lots of SUSY, extremal black holes) claim to reproduce the semiclassical limit. The derivations listed in 0705.3024 seem to fall into three classes: String Theory (D-brane/String state counting, AdS/CFT, Fuzzballs) In the present talk we show that the string theory duals of these systems are classically integrable. We introduce a. new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? Abstract: I will explain some recent and ongoing work on the state spaces associated to 3-manifolds in the Kapustin-Witten twists of 4d N=4 SYM. In particular, he discovered a hidden structure governed by Bernoulli numbers. Invertible QFTs are expected to form a sheaf of \infty-groupoids, and we apply the framework of differential cohomology to this sheaf. Sakura Schafer-Nameki Making statements based on opinion; back them up with references or personal experience. We will focus on understanding 3d mirror symmetry viachiralalgebras. We present a novel construction of such flux vacua in permutation-symmetric multiparameter compactifications, and develop methods for efficiently computing the zeta functions of the corresponding geometries. Workshop on Categorification and geometric representation theory. Correlation functions in the worldsheet theory on AdS_3 are shown to agree with those of the dual CFT_2, with both being given in terms of branched covers. String Math 2021 - Mina Aganagic (UC Berkeley) - YouTube [Slides], Aranya Bhattacharya (IISc, Bangalore) Probably not if you ask me. TheAttractor Flow Tree conjecture postulates that the BPS index $\Omega(\gamma,z)$ for given charge $\gamma$and moduli $z$ can be reconstructed from the`attractor indices $\Omega_*(\gamma_i)$ counting BPS states of charge $\gamma_i$ in their respective attractor chamber, by summing over all possible decompositions $\gamma=\sum_i \gamma_i$ and over decorated rooted flow trees. [Slides] [Video], Yaping Yang (University of Melbourne) Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. You will have to use the Number.isNaN() method to do it. for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. Finally, we will talk about the connections between the sphere packing problem and some mysteries of modern physics. I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. (videos of the talks at the bottom). I will then outline work in progress with Gunningham and Safronov to prove the conjecture in a number of special cases. [Slides] [Video], Antoine Bourget (CEA Saclay) June 14-18, 2021: String-Math 2021 (Plenary talk), IMPA, Rio de Janeiro, Brazil. Title: The character of M-theory It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. Does a barbarian benefit from the fast movement ability while wearing medium armor? 2. I will present a rigorous version of this formula in the context of quivers with potential, which governs the BPS spectrum in type IIA string theory compactified on certain conical Calabi-Yau threefolds, in the vicinity of orbifold-type points in Kahler moduli space. [Slides] [Video], Dan Freed (University of Texas at Austin) Find centralized, trusted content and collaborate around the technologies you use most. Here is an implementation of the Shunting-yard algorithm with additional support for unary prefix (e.g. We determine the T-dual theories and match those global symmetries across the dualities. The original sphere packing problem in dimension 3 is known as Keplers conjecture and it was famously solved by Thomas Hales at the very end of the twentieth century. [Slides]. Please, watch the discussions (there were many) and appreciate that these were honest discussion. In my case, I will give a run, certainly much more healthy, no? In a different direction, I will in this talk present a conjectural picture relating holomorphic Floer theory of complex integrable systems to Donaldson-Thomas invariants. . My talk will be based on recent joint work with Baej Ruba. Local nodes will be coordinated worldwide for the joint viewing of talks and discussion sessions, and online satellite meetings during other time periods will be linked on this webpage. We revisit this construction, working directly in the setting of the holomorphically twisted theory and viewing the topological twists as further deformations. I suppose I shouldnt have even let that get started. 2. Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. Exactly because of this. This includes joint work with David Ben-Zvi, David Jordan, Pavel Safronov, Monica Vazirani, and Haiping Yang. Title: Families of solutions of the heterotic G2 system Title: Quivers for 3-manifolds Tarasa Szewczenki oraz w Instytucie Matematyki Ukraiskiej akademii Nauk w Kijowie, a nastpnie uzyskaa stopie magistra na uniwersytecie w Kaiserlautern, oraz stopie doktora w 2013 r. na uniwersytecie w Bonn w Niemczech. In this talk, I will construct a large class of discrete geometric structures in all dimensions that satisfy these two properties, using the theory of hyperbolic buildings. @adrianmigueldiego: as a mathematical-physics, I have been earring for 20 years that string theory is the only game in town, I have seen the raise of LQG as an opponent to string, and I witnessed the tentative of string theory to kidnap noncommutative geometry claiming that this was nothing but the geometry of string theory. [Slides]. I will discuss two such consequences the Penrose Inequality and constraints on the location of trapped surfaces as possible diagnostics for whether a given solution admits a consistent UV completion within AdS/CFT. IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. [Slides] [Video], Conan Leung (Chinese University of Hong Kong) Title: q-series for so(3) and osp(1|2) Blasting is well underway in South Dakota for the $2 billion + LBNF/DUNE facility. Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. Unit 3 - String, Math | APCS Abstract: In this talk I will introduce a refined notion of Gopakumar-Vafa invariants on singular Calabi-Yau threefolds that generate a discrete gauge symmetry in M-theory. Biogram (in Polish): Maryna Viazovska urodzia si, uczya i studiowaa w Kijowie w Ukrainie. T-duality then becomes a fibre-base duality of the threefold which allows us to compute the little-string-charges directly from the Kac labels of the dual gauge groups. Title: Magnetic quivers for Superconformal Field Theories Title: Holographic tensor networks from hyperbolic buildings Adrian, What video game is Charlie playing in Poker Face S01E07? String theorist Michio Kaku: 'Reaching out to aliens is a terrible idea Mhh, you could use the Function() constructor: There's nothing wrong with eval, especially for cases like this. Ivan Ip's Homepage - Hong Kong University of Science and Technology This public lecture is also a lecture in the Zapytaj fizyka series here is the lecture website. Abstract: I will describe a close analogy between the spectral geometry of hyperbolic manifolds and conformal field theory. Title: The sphere packing problem and beyond. We study an open quantum many body spin system to check whether its integrable and chaotic regimes can be distinguished by looking at the non-unitary dynamics of a simple operator in Krylov space. Berkeley Informal String-Math Seminar. In particular, we provide two different path integral derivations of their wall-crossing formula for b_2^+(X)=1. Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. In other words, a ternary string is a n-permutation with a repetion of the set {0,1,2}. Abstract: I will review the holomorphic twist of four-dimensional N=1 gauge theories and present the Feynman diagrams which control the perturbative corrections to the twistingsupercharge and to the higher operations available in the twisted theories. String Math 2021 | IMPA - Instituto de Matemtica Pura e Aplicada Summary Talk. I strongly disagree with you about the issue of the intellectual honesty of my account of what Witten and Arkani-Hamed had to say. Update: At String 2021, yesterday Nima Arkani-Hamed gave a talk on Connecting String Theory to the Real World We See Outside Our Windows, where he sometimes sounds like me, contrasting the pre-LHC claims of string theorists: 1. Elliott Gesteau (California Institute of Technology) Note also that I was making no comment about the work people were presenting at the conference, was sticking to discussing particular important points about the current state of the subject being made by the two most talented and hard-w0rking leaders of the field. [Slides] [Video], Jan Dereziski (University of Warsaw) During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. [Slides], Alex S. Arvanitakis (Vrije Universiteit Brussel) He goes on to explain the landscape philosophy, which he sees string theorists (and himself) as now adopting. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. [Slides]. , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, Title: Homological blocks and R-matrices As Ive pointed out here before (cant find a link), theres nothing unusual about a quantum system that isnt just a conventional quantisation of a classical system. Juan Maldacena This is joint work with Constantin Teleman and Greg Moore. There are slight differences regarding scoping, but they mostly behave the same, including exposure to much of the same security risks: You can't, at most you could do something retort like parsing the numbers and then separating the operations with a switch, and making them. Robert A. Wilson, I just work on Theoretical Physics topics. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. de Lausanne), [D] Nathan Seiberg (Institute for Advanced Study), [T] Ashoke Sen (Harish-Chandra Research Institute), [R]Shu-Heng Shao (Institute for Advanced Study), [T] Yuji Tachikawa (Kavli IPMU and U of Tokyo), [T] Gregory Tarnopolsky (Carnegie MellonU), [T] Gonzalo Torroba (Centro Atmico Bariloche), [D] Edward Witten (Institute for Advanced Study), [G] Ahmadullah Zahed (Bangalore Indian Inst. But regarding superstrings, from such a strong statement one would expect at least proof (not rigorously by mathematical standards of course!) Of course, a few minutes earlier Witten had explained that no one knows what the theory actually is, which means there is no way to show that it is mathematically inconsistent. Enjoy. But I believe that in todays update of this post you were not intellectually honest. Hello, Robert A. Wilson 1 Let n be a natural number, n3. I would be eager to read a real formal discussion if first-quantised RNS superstring in euclidean signature is quantum mechanically equivalent (unitary Boguliubov transformation) to original version starting from Minkowski signature. Oh, God, how hard Ive slaved away, We also discuss generalizations to b_2^+(X)>1. Others clearly feel differently and think this is of huge significance. The String Math series of conferences have become an important eventfor anyone working at the interface between mathematics and theoretical physics (string theory, quantum field theory and adjacent topics), bringing together an interdisciplinary cohort of pure mathematicians and theoretical physicists. operators, and function (e.g. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. I will also touch upon the issue of the Lorentzian vs Euclidean metric slice in the path integral contour of quantum gravity. Math 250 (Vector Analysis) . Abstract: The D3-D5 and D2-D4 probe-brane systems with nonzero worldvolume flux are holographically dual to N=4 super Yang-Mills and ABJM theory in the presence of half-BPS domain walls. [Slides] [Video], Maxim Kontsevich (IHS) How do I make the first letter of a string uppercase in JavaScript? String Math 2021, held online by IMPA, Rio de Janeiro, Rio de Janeiro, June 14 - 18, 2021. To begin with, we'll discuss a few third-party libraries and their usage. Of course, I do not justify equally wrong comments from certain string theorists What is the !! What am I doing wrong here in the PlotLegends specification? [Slides]. Title: Approximations for Calabi-Yau and other special holonomy/structure metrics Title: The positive Grassmannian, amplituhedron, and cluster algebras [online talk] [Slides], Peter Spacek (TU Chemnitz) The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. Title: Bootstrapping AdS/BCFT There will also be a public lecture and outreach activity Ask a String Theorist during the weekend. Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . (UoS & CNRS) Quantum G & of Looijenga pairs Berkeley String-Math 2021 Overview The two main messages: 1ve (different, but equivalent) string-theory motivated enumerative theories built from (X;D) 2they are all closed-form solvable Joint with P. Bousseau (ETH Zrich/Saclay) and M. van Garrel (Warwick/Birmingham). Just viewed the last question and answer session. The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. Title: Giant Gravitons in Twisted Holography What is the point of Thrower's Bandolier? In this talk, I explain an ongoing work to combine them, and to give a higher relations between QFTs and differential cohomology. The video is available here , and . We provide significant evidence that averaging plays an important role in reproducingsemiclassical gravity in AdS/BCFT. Abstract: During my presentation, I will discuss certain equivalences between conformal field theories with a continuous spectrum: Liouville theory, its supersymmetric extension, and models based on the affine su(2) algebra with irrational level. I just took a look at that session and thought one remarkable point was where people were asked what would cause you to give up on string theory? The only answers forthcoming were from Igor Klebanov, who said he had been working on it his whole life, so couldnt see himself giving up on it, and Ashoke Sen, who said he would only give up on it if it were shown to be mathematically inconsistent.