Title: Categorical Enumerative Invariants StringStringfinal . [Slides] [Video], Wei Li (Chinese Academy of Sciences) Odbya stae podoktorskie na uniwersytecie Humboldta w Berlinie oraz uniwersytecie w Princeton w USA, a nastpnie zostaa profesorem w cole Polytechnique Fdrale de Lausanne (EPFL) w Szwajcarii, gdzie od 2018 roku kieruje Katedr Teorii Liczb. sqrt()) notations. In this talk I will introduce the heterotic G2 system and show how to construct families of solutions using homogeneous 3-Sasakian manifolds with squashed metrics. String Math 2021 - Lara Anderson (Virginia Tech) - YouTube IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Lara Anderson (Virginia Tech)Lecture title:. I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. What is the !! 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. However, this is an unrealistically simple description of the situation, even for a basic example such as the classical phase space.. You will have to use the Number.isNaN() method to do it. (i) No one convincingly proved the mathematical equivalence between the RNS superstrings and GS formalism. 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. Greg Moore [Slides] [Video], Sam Raskin (University of Texas at Austin) [Slides] [Video], Rajesh Gopakumar (ICTS, Bangalore) In physical terms, we will discuss a relation between the BPS spectrum of an N=2 4-dimensional field theory and the enumerative geometry of the corresponding Seiberg-Witten integrable system. 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. Announcement String Math 2022 Lorenz Eberhard(IAS) String correlators on AdS3 17:00 - 17:50 14:00 - 14:50 Melissa Liu(Columbia University) Wall-Crossing for the Mirror Quintic . Piotr Kucharski (University of Amsterdam) Title: Giant Gravitons in Twisted Holography We have a lunch on the 4th floor of Physics South before the seminar. Abstract: The interpretation of semiclassical gravity as an average of CFTs has provided much progress in understanding the factorization problem and the information paradox. Recently, a rigorous probabilistic construction of the path integral was provided using the Gaussian Free Field. Title: Families of Modular Flux Vacua on Symmetric CY Threefolds Title: Families of solutions of the heterotic G2 system Certificates YouTube live YouTube playlist of the lectures Institutode Matemtica Pura e Aplicada (IMPA), Organizers: Henrique Bursztyn (IMPA), Reimundo Heluani (IMPA), Marcos Jardim (IMECC-UNICAMP), Gonalo Oliveira (UFF). IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online eventSpeaker: Mina Aganagic (UC Berkeley)Lecture title: Knot homologies from mirror symmetryEvent page: http://bit.ly/stringmath2021Videos playlist: https://bit.ly/3v2lHlsThe 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. Abstract: Open quantum systems are of experimental interest since ideally real life experiments always have some interaction with its environment. (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). Abstract: I will explain how to explicitly calculate knot homology using the Fukaya category associated to a 2d Landau-Ginsburg theory, which is the equivariant mirror of the Coulomb branch of a 3d $mathcal{N}=4$ theory. Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. With what result? It will often be a good idea to analyze states in terms of these irreducible representations. Weekly on Mondays 2:10 PM (Pacific Time) Meetings are in-person, at 402 Physics South. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. I think a better service to the public would be made by discussing things that are well established, rather that the permanent focus on what is coming/the future etc. Za te oraz inne osignicia otrzymaa wiele prestiowych nagrd i wyrnie, m.in. 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. What I wanted with my post was to point out that (in my view, again), you were selecting particular phrases that sounded negative, in what other wise were quite interesting exchanges among physicists. 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. Time permitting, we will discuss a number of related results, such as the cluster structures and Newton-Okounkov bodies determined for the exceptional family in [Spacek-Wang22], and connection to other mirror symmetry statements such as the quantum D-module isomorphism proven for minuscule homogeneous spaces in [Lam-Templier17]. 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. Of course even his brightest former student couldnt accept that: The experimental community pretty much politely ignores the string theory community, and has, well, since 1974 or so when the analytic S-matrix failed to predict the charmed quark. String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. This talk is based on joint work with Si Li. Follow In this talk, I explain an ongoing work to combine them, and to give a higher relations between QFTs and differential cohomology. Abstract: Since 2017, knots and symmetric quivers are known to be intimately related via BPS spectra. Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. Abstract: Thepositive GrassmannianGrk,n0is the subset of the real Grassmannian where all Plcker coordinates are nonnegative. Title: Cohomological-type Hall algebras and their representation theory ncdu: What's going on with this second size column? As an application, I will use conformal bootstrap techniques to obtain new rigorous bounds on the first positive Laplacian eigenvalue of hyperbolic orbifolds. The only game in town in fundamental physics now is to give up on a theory of the real world. All major operations, constants, and methods are supported. Strings 2021 started today, program is available here. The whole tone of the discussion was pretty depressing. 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. Condensed matter physics is a quite different story. 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. Based on joint work with Petr Kravchuk and Sridip Pal. Well, that would be the case if people follow the hype for last 20-30 years or more. How can I guarantee that my enums definition doesn't change in JavaScript? String Math 2021 - Si Li (Tsinghua University) 848 views Jun 15, 2021 27 Dislike Share Instituto de Matemtica Pura e Aplicada 100K subscribers 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. At the hand of several examples I will illustrate that this phenomenon is generic and that most Calabi-Yau threefolds admit such degenerations and a corresponding refinement of the invariants. [Slides] [Video], Maxim Kontsevich (IHS) How is Jesus " " (Luke 1:32 NAS28) different from a prophet (, Luke 1:76 NAS28)? Title: Algebras and Entropies 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. [Slides], Carlos Perez-Sanchez (University of Heidelberg) I wonder how to find the number of ternary strings that have at least one 0, one 1 and one 2. 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 2016 the speaker was lucky enough to solve the sphere packing problem in dimension 8 and contribute to its solution in dimension 24. Abstract: This talk summarizes recent developments aimed towards F-theory constructions of MSSMs, i.e. and Physics), [G]Suman Kundu (Tata Inst. Yes, I was ignoring some other things they had to say, for example, Arkani-Hameds To address this issue, we use the fusion-matrix bootstrap, which is recently developed in the context of the light-cone bootstrap. Lectures at St. Ottilien: Quantum Symmetries and K-Theory. [Slides], Nicolo Piazzalunga (Uppsala University) IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Alba Grassi (CERN)Lecture title: Painlev equations, quantum operators and gaug. I believe I am not misguided. 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. It is expected that the right mathematical structure to capture physical properties of such symmetries is that of higher-categories. All, Jackiw-Teitelboim/PeterH, In my case, I will give a run, certainly much more healthy, no? This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. June 14-18: Pre-Strings 2021 school (IIP, Natal), [D] Nima Arkani-Hamed (Institute for Advanced Study), [T] Horacio Casini (Centro Atmico Bariloche), [T] Lorenz Eberhardt (Institute for Advanced Study), [T] Clifford Johnson (U of Southern California), [D] Vladimir Kazakov (Ecole Normale Superieure), [T] Zohar Komargodski (Simons Center for Geom. [Slides], Martin Bies (University of Pennsylvania) I suppose I shouldnt have even let that get started. Abstract: Recently, higher categorical understandings of quantum field theories have been rapidly developing. Still, I think the best choice you can make is to use eval, given that you're able to trust the source of the string. String-Math 2021 conference (IMPA, Rio de Janeiro), [R = Review lecture] ; [D = Discussion session] ; [T = Research talk] ; [P = Public lecture] ; [S = Starting/Summary talks] ; [G = Gong-show talk]. 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. The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Giovanni Felder (ETH Zrich)Lecture title: Superstring measure and the superper. @David Roberts: There are many references that discuss this from different perspectives. It seems that non-stringy approaches to quantum gravity are not very successful at reproducing these universal results. The two-step procedure involves first finding points on the Calabi-Yau manifold and then approximating the Ricci-flat metric by approximating solutions to the underlying Monge-Ampere equation. (videos of the talks at the bottom). [Slides] [Video], Conan Leung (Chinese University of Hong Kong) Miosz Panfil Title: Integrability check for open quantum systems in Krylov Space Any consistent theory of quantum gravity should reproduce this semiclassical limit. This includes joint work with David Ben-Zvi, David Jordan, Pavel Safronov, Monica Vazirani, and Haiping Yang. Title: Approximations for Calabi-Yau and other special holonomy/structure metrics 3. Nevertheless, from a theory claiming to be the only mathematically self-consistent unification program, something regarded as just a mere technicality now requires an answer. 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 EMS prizes are always a good indication of future Fields medalists 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. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. String Data 2020, CERN, December 2020. ), one would at least expect that a well-behaved asymptotically perturbation series follows as one takes into account contributions from all the moduli parameters of Teichmller spaces of Riemann surfaces with higher genus and market points. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Calculate string value in javascript, not using eval, How Intuit democratizes AI development across teams through reusability. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. This is a joint work with K. Ohmori (U. Tokyo). Of course, I do not justify equally wrong comments from certain string theorists Do I need a thermal expansion tank if I already have a pressure tank? String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. 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. , self-confidence, went through a Faustian-like monologue, if you allow me a little of prose: Ive studied, Schwarz, alas, Polchinski, How useful this will be will depend on the symmetries you have available. These boring predictions, if confirmed by DUNE, will show that also in experimental physics no real stuff is happening. http://jsfiddle.net/vol7ron/6cdfA/. Explicit $q$-series form for $\hat Z$ is known for $SU(2)$ group, supergroup $SU(2|1)$ and ortho-symplectic supergroup $OSP(2|2)$. 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. One reason for this being a real mistake is that, divorced from input from the real world, theory becomes sterile: Questions Posed by Nature are Vastly Deeper and more fruitful than ones we humans tend to pose for ourselves. of topological string partition functions. Can I did this command pattern if I declare the operator how it were a variable? Title: Non-Invertible Symmetries and Higher-Categories rotations and translations are typically discretized due to the presence of a lattice)? http://silentmatt.com/javascript-expression-evaluator/, http://www.codeproject.com/KB/scripting/jsexpressioneval.aspx, I spent a couple of hours to implement all the arithmetical rules without using eval() and finally I published a package on npm string-math. This gives the symmetry algebra action on the categorifiedDT. https://8ecm.si/prizes, Ashoke Sen has computed the logarithmic corrections to the Bekenstein-Hawking entropy of various standard black hole solutions in this paper. 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. We are going to perform a construction of such quantum curves using the mathematical language of vertex operator algebras. Find centralized, trusted content and collaborate around the technologies you use most. I will then summarise recent work (with Matthias Gaberdiel and others) on the AdS_3/CFT_2 correspondence, in the tensionless limit, which gives a proof of concept of the above ideas. String theory calculations that can be done in unphysical situations (wrong dimension, lots of SUSY, extremal black holes) claim to reproduce the semiclassical limit. [Slides], Shi Cheng (University of Warsaw) Berkeley Informal String-Math Seminar. This feature could come in handy in projects where we want to evaluate math expressions provided in string format. How do I connect these two faces together? The following articles by Carlip provide a nice overall perspective, drawing attention to the universality of BH entropy derived in different approaches to QG what he refers to as an embarrassment of riches. (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) These operators are interesting for several reasons: Strings 2021 will be held online during the two-week period June 21 July 2, 2021 from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). Dr. Kessner. 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). You wrote 3 years ago, F_K invariants of knot complements in 3-sphere have been proposed. 10. Dan Freed (University of Texas at Austin) Reimundo Heluani Organizing Committee. Abstract: In this talk, I will revisit the construction of heterotic ALE instantons and the corresponding T-dual systems in 6D little string theories (LSTs). This will be done in the language of QP manifolds/symplectic L-infinity algebroids which is convenient for showing the duality is a canonical transformation in string phase space, and also provides glimpses of a generalisation towards U-duality and higher branes. The linking numbers of plumbing graphs are interpreted as the effective mixed Chern-Simons levels of 3d N=2 theories with chiral multiplets. [Slides] [Video], Jan Dereziski (University of Warsaw) 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.