Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] These have been going on for over 25 years, with nothing new in a very long time. Physically, flow treesprovide a mesoscopic representation of BPS states as nested multi-centered bound states of elementary constituents. [Slides] [Video], Nikita Nekrasov (Simons Center for Geometry and Physics) Abstract: It has been found, originally in the context of black hole thermodynamics, that the concept of entropy is better-defined in the presence of gravity than in ordinary quantum field theory without gravity. People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. Thats about the general problem of quantizing a symplectic manifold, but my impression was that Witten was thinking of the even more general problem of a quantum theory with no known symplectic manifold of which it is the quantization. @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. But regarding superstrings, from such a strong statement one would expect at least proof (not rigorously by mathematical standards of course!) The string community has been dishonest for at least 20 years, and has absolutely no right to give any lessons about ethics in science. Title: Magnetic quivers for Superconformal Field Theories Edward Witten (Institute for Advanced Study) Wittens answer is that this was just a vague hope, that the duality ideas are now 25 years old, we havent progressed beyond them, need something new. The derivations listed in 0705.3024 seem to fall into three classes: String Theory (D-brane/String state counting, AdS/CFT, Fuzzballs) Estrada Dona Castorina 110, Jardim Botnico We show that many 3d theories can be represented as plumbing graphs and hence be able to be constructed by compactifying M5-branes on corresponding plumbing manifolds using the construction of 3d-3d correspondence. [Slides] [Video], Maxim Kontsevich (IHS) [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS) We construct a trace map on the elliptic chiral homology of the free beta gamma-bc system using the BV quantization framework. How do I connect these two faces together? Since it's online only, talks are much more accessible than usual (and since it's free, over 2000 people have registered to in principle participate via Zoom). The video is available here , and . The methods can also be extended to SU(n) or G2 structure metrics Hiraku Nakajima Recently, a rigorous probabilistic construction of the path integral was provided using the Gaussian Free Field. Math 435 (Differential Geometry) Fall 2020. How do I make the first letter of a string uppercase in JavaScript? This public lecture is also a lecture in the Zapytaj fizyka series here is the lecture website. Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. You wrote The whole tone of the discussion was pretty depressing. LHC will discover SUSY Strings 2022 Summary Talk. 3. [Slides] [Video], Sam Raskin (University of Texas at Austin) 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. The problem is not that its too new to be evaluated properly, but that its been a failure. Certificates YouTube live YouTube playlist of the lectures A better version was given September 22, 2021 at Yan Soibelman's M-seminar. In response to the obvious question about relation to experiment and testability, people have clearly completely given up on this, with nothing to say (other than a bogus claim that string theory makes some prediction about B-mode polarization), going on about how it took thousands of years for the atomic hypothesis to be vindicated. String theorist: indeed, whats QCD?. It's december of 2021, and the java world has been rattled by a log4j vulnerability. Oh, God, how hard Ive slaved away, . Much as I love this general topic, its getting far from the topic of the posting, so Ill just advise: read my book. One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. The EMS prizes are always a good indication of future Fields medalists Thats interesting, can you give pointers? Adrian, Weekly on Mondays 2:10 PM (Pacific Time) Meetings are in-person, at 402 Physics South. His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). I saw the discussions you refer to. Goodbye eval()! Title: Approximations for Calabi-Yau and other special holonomy/structure metrics Abstract: Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. This is joint work with Mark Gross. Another series of talks that I took a look at and that I can recommend is Nima Arkani-Hameds lectures on Physics at Future Colliders at the ICTP summer school on particle physics. Robert A. Wilson, In this tutorial, we'll discuss various approaches to evaluate a math expression using Java. What does "use strict" do in JavaScript, and what is the reasoning behind it? Braces are not supported, am I right? Abstract: Superconformal field theories with 8 supercharges in spacetime dimensions 3 to 6 have a large moduli space of vacua. Math Talks and Number Strings provide the foundation to help students improve their understanding and comprehension of numbers. So please stop it with this idea that criticising string theory, as Peter does, is not good nor an honest way to communicating about science. You are either blinded or so convinced by the idea that string theory has nothing to say about Physics, that you pick any phrase that adds to your view of things. Joerg Teschner (DESY) One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. TheamplituhedronAn,k,m(Z)is the image of the positive Grassmannian Grk,n0under a positive linear mapRnRk+m. Please, do appreciate that negative comments like yours distort the ideas the general public (or even physicists in other areas) have about String Theory, or Theoretical Physics in general. This lecture is aimed for the general public and does not request much prerequisites in mathematics. These boring predictions, if confirmed by DUNE, will show that also in experimental physics no real stuff is happening. Not all N = (0, 4) boundary conditions admit such deformations. I will then outline work in progress with Gunningham and Safronov to prove the conjecture in a number of special cases. If youre so concerned about the public or physics community getting misled, surely youve contacted the organizers of and participants in the conferences Outreach activities. 2014 June. In particular, i can not find a derivation of any black hole entropy from first principles in quantum gravity outside of string theory. Title: Holomorphic Floer theory and Donaldson-Thomas invariants As an example, we compute the trace evaluated on the unit constant chiral chain and obtain the formal Witten genus in the Lie algebra cohomology. If one neglects the mass term, they are formally homogeneous. A hyperbolic d-manifold gives rise to a Hilbert space which is a unitary representation of the conformal group in d-1 dimensions. Summary Talk. See a live demo on the website. Title: Non-Invertible Symmetries and Higher-Categories In my talk, I will discuss the following two examples. That would be something like (a real implementation will be somewhat more complex, especially if you consider the use of parenthesis, but you get the idea). Pawe Caputa While the community just spread out to other problems. Physics Meets AI, LMU Munich, September 2020. Whats remarkable is how powerful Poincare space-time symmetry is as a determinant of how elementary particles behave. In the discussion section, Vafa challenges him on this, saying he sees no indication that quantum information theory gives any insight into dualities he sees as the central aspect of the non-perturbative theory. Physical Review, 85(4), p.631. Blasting is well underway in South Dakota for the $2 billion + LBNF/DUNE facility. In 2016 the speaker was lucky enough to solve the sphere packing problem in dimension 8 and contribute to its solution in dimension 24. Adrian, Abstract: We revisit Vafa-Witten theory in the more general setting whereby the underlying moduli space is not that of instantons, but of the full Vafa-Witten equations. Thank you. The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. We engineer these models using toric geometry techniques to construct non-compact threefolds that manifestly have multiple fibrations and hence M/F-theory lifts. Is it possible to create a concave light? Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. Others clearly feel differently and think this is of huge significance. As a result, he sees the current situation as. 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). (Anyway, String Theory is mainly about Quantum Gravity). 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. 3 years ago, F_K invariants of knot complements in 3-sphere have been proposed. 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. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. 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. He never actually gets anywhere near discussing the topic of the title for the talks, but does give a very nice leisurely introduction to computing amplitudes for zero-mass particles. Abstract: Currently, there is a strong interest in the study of non-invertible symmetries of quantum field theories. As an application, I will use conformal bootstrap techniques to obtain new rigorous bounds on the first positive Laplacian eigenvalue of hyperbolic orbifolds. From a mathematical perspective, these solutions involve interesting constructions in geometry such as integrable G2-structures and G2-instantons. Title: BPSDendroscopyon local Calabi-Yau threefolds However, I have provided a pure JS solution (w/o eval). String-Math, June 2013. I did watch fully the discussions I wrote about here, also took a look at many of the others. Title: Counting BPS states with discrete charges in M-theory that perturbation series following from superstring S-matrix, already known to diverge as one sums over all moduli parameters (which isnt really the issue, since this happens even in QED, see Dyson, F.J., 1952. Title: String integrability of defect CFT and dynamical reflection matrices We therefore relate differential and enumerative geometry, topology and geometric representation theory in mathematics, via a maximally-supersymmetric topological quantum field theory with electric-magnetic duality in physics. Abstract: Recently there has been lots of activity surrounding generalized notions of symmetry in quantum field theory, including categorical symmetries, higher symmetries, noninvertible symmetries, etc. If you cannot make it work with a default operator, I suggest you ask a new question, pointing out where exactly you get stuck. The general principle is that whenever you have a group acting on a physical quantum system, the state space will be a unitary representation of that group, and unitary representations break up into irreducible representations. [Slides], Pawe Ciosmak (IDEAS NCBiR) [Slides], Muyang Liu (Uppsala University) [Slides]. While Ooguri has his own interpretation about this observation (incoming flux of young people in the field is as healthy as ever), I wonder what others think about it. Witten says something about a (possible) theory that is intrinsically quantum mechanical, which seems to mean a theory that does not start with a continuous field and quantise it, and which (therefore) presumably cannot be described in that way. The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. Motived by (twisted) holography (following Costello, Gaiotto, Li, and Paquette) we find a holomorphic model describing the minimal twist of the six-dimensional theory. It seems that no one in the string theory community dares to publicly breathe a word of skepticism. The proof in these cases uses the notion of 1-form symmetries (= co-dimension 2 topological defects) to express PGL(N)-skein modules as certain twisted SL(N)-skein-modules, and then to further relate these to well-known formulas for the cohomology of twisted character varietiesof surfaces. The LQG derivation, involving an ad-hoc choice for the Immirzi parameter Also I explain what is the dimension for a mathematician and why it is an extremely useful concept for everyone. What is the !! Title: Category of QFTs and differential cohomology Math 250 (Vector Analysis) . What am I doing wrong here in the PlotLegends specification? APCS. Abstract: Cosmic censorship as a conjecture about classical General Relativity is now understood to be false in both higher dimensional asymptotically flat space and four-dimensional AdS. The operators satisfy an operator product expansion. Equivalent plumbing graphs suggest dual theories. (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). Clay Mathematics Institute, ContactEnhancement and Partnership ProgramMillennium Prize ProblemsPublicationsHome. Mathematically, they can be identified with the K-theoretic versions of the Donaldson invariants on X. Is String Theory a Theory of Nature? Mark Gross Workshop on Categorification and geometric representation theory. At the time I drop those lines, more than 50 years from dual resonance models?, I havent found any convincingly argument. Green and Witten, recto and verso A Triangle of Influence: Bringing Together Physics, Pure Mathematics, and Computer Science. Title: Perturbative calculations in twisted 4d gauge theories [online talk] There is also an open source implementation on GitHub, evaluator.js, and an NPM package. with the exact opposite agenda.. String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. 2013 Nov. Osaka City University, Japan. String theory is now older than not just my students, but also many of their parents and unfortunately its very well-established, sometimes even taught to high school students. Juan Maldacena 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. !) All major operations, constants, and methods are supported. This is based on arXiv:2202.01788, with Matilde Marcolli and Sarthak Parikh. This goes without saying all technically challenging fundamentally important problems required for superstring theory unification be at least mathematically self-consistent have been left unanswered. This is damaging. The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. From this description, we propose a symmetry for the space of instantons on C^2 by an exceptional super Lie algebra called E(3|6). The unitary equivalence relation implies a duality between the modular flow and time evolution. The series of String-Math conferences has developed into a central event on the interface between mathematics and physics related to string theory, quantum field theory and neighboring subjects. Due to its interaction, the system density matrix and operators within the system Hilbert space evolve non-unitarily. it is true that experiments are real physics. If you are interested in what field theories Wittens probably interested in, then I certainly recommend you to follow the on going ICTSs Quantum Field Theory, Geometry and Representation Theory, with Wittens mini-course starting tomorrow: https://www.icts.res.in/program/qftgrt2021/talks, In order to get a feel what is at stake here, start with: Abstract: In 2002, Fukaya proposed a remarkable explanation of mirror symmetry detailing the SYZ conjecture by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi-Yau manifold X and the multi-valued Morse theory on the base B of an SYZ fibration p : X B, and the other between deformation theory of the mirror X and the same multi-valued Morse theory on B. There are other views, it is a matter of taste. Whats really bizarre about the current situation is that string theory has completely decoupled from any well-defined proposal for an actual 3+1 d unified theory of gravity and the SM, while at the same time its proponents claim it is the only game in town. Maryna Viazovska was awarded with the Fields medal, https://www.fuw.edu.pl/faculty-of-physics-home.html, Hera guesthouse of the University of Warsaw (budget option), https://warsawgenomics.pl/en/sars-cov-2/koronawirus-rtpcr. Title: q-series for so(3) and osp(1|2) Our conjecture, which we have developed with Ben-Zvi, Gunningham and Safronov, asserts an equality of dimensions between the G- and G^L-skein modules of a 3-manifold at generic quantization parameter. The problem with the string theory hype is not that its new, exciting, cutting-edge speculation, rather than well-established. It is expected that the right mathematical structure to capture physical properties of such symmetries is that of higher-categories. Title: Calculating Quantum Knot Homology from Homological Mirror Symmetry CRM, Montreal, Canada. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Simon Donaldson (Imperial College)Lecture title: Calibrated geometry and gauge . Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. This jargon sounds a bit confusing. Abstract: I will review the Cohomological Hall algebra associated to a quiver and an oriented cohomology theory. However, this is an unrealistically simple description of the situation, even for a basic example such as the classical phase space.. People are attempting to understand things, with the tools at hand. I suppose I shouldnt have even let that get started. The talk is based on work in collaboration with Davide Gaiotto. I will argue that they are encoded in the topological string partition functions of the singular Calabi-Yau itself and its various non-commutative resolutions. Brittany Goerig | Oct 14, 2020 | 00:56:54. 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. Quantum gravity: String theory is a theory of quantum gravity because it attempts to merge quantum physics with the theory of general relativity. Liouville theory appeared there under the form of a 2D Feynman path integral and since then has appeared in a wide variety of contexts (random conformal geometry, SUSY Yang-Mills, etc). In this talk, I will explain how to prove their conjecture for a big class of link complements by making use of the R-matrix for Verma modules. I notice that Roger Penrose, a well-know string theory skeptic, will be giving a talk on the last day of the conference next week. David Morrison (University of California) The simplest example is the qubit. Over-claim? Since its online only, talks are much more accessible than usual (and since its free, over 2000 people have registered to in principle participate via Zoom). Organizing Committee:Henrique Bursztyn (IMPA)Reimundo Heluani (IMPA)Marcos Jardim (IMECC-UNICAMP)Gonalo Oliveira (UFF) Scientific Committee:Anton Alexeev (Universit de Genve)David Ben-Zvi (University of Texas)Alexander Braverman (Brown University)Ron Donagi (University of Pennsylvania)Giovanni Felder (ETH Zrich)Dan Freed (University of Texas)Edward Frenkel (University of California)Marco Gualtieri (University of Toronto)Nigel Hitchin (University of Oxford)Sheldon Katz (University of Illinois)Maxim Kontsevich (IHS)David Morrison (University of California)Andrei Okounkov (Columbia University)Vasily Pestun (IHS)Boris Pioline (Sorbonne Universit \u0026 CNRS)Nicolai Reshetikhin (University of California)Pedro Vieira (Perimeter Institute for Theoretical Physics)Katrin Wendland (Albert-Ludwigs-Universitt Freiburg)Edward Witten (Institute for Advanced Study)Shing-Tung Yau (Harvard University \u0026 The Chinese University of Hong Kong)Maxim Zabzine (Uppsala University)Steering Committee: Ron Donagi (University of Pennsylvania)Dan Freed (University of Texas at Austin)Nigel Hitchin (University of Oxford)Sheldon Katz (University of Illinois)Maxim Kontsevich (IHS)David Morrison (University of California)Hiroshi Ooguri (Caltech \u0026 IPMU)Boris Pioline (Universit Pierre et Marie Curie)Joerg Teschner (DESY)Edward Witten (Institute for Advanced Study)Shing-Tung Yau (Harvard University)Redes Sociais do IMPA: https://linktr.ee/impabrIMPA - Instituto de Matemtica Pura e Aplicada https://impa.br | http://impa.br/videos#stringmath2021 Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemtica Pura e Aplicada, sendo vedada a utilizao total ou parcial do contedo sem autorizao prvia e por escrito do referido titular, salvo nas hipteses previstas na legislao vigente.The rights over all the material in this channel belong to the Instituto de Matemtica Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.

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