Title: Liouville conformal field theory: from the probabilistic construction to the bootstrap construction I will present recent progress in this direction in the simplest case of local $P^2$, and argue that its global BPS spectrum and flow tree structure can be deduced from a scattering diagram with simple initial data. Math 302 (Vector Analysis and Integration on Manifolds) Spring 2021. Leszek Hadasz (Jagiellonian University) People interested in string theory/LQG religious warfare argue about the calculations in 3. and 4. [Slides] [Video], Pierrick Bousseau (ETH Zrich) All sessions were recorded and are available at the Youtube daily links below or by clicking on the lecture in the Schedule: Strings 2021 is an annual conference that brings together the entire string theory community. 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. Penroses talk is interesting (https://www.youtube.com/watch?v=hk_6EtWUatM), as is the discussion between him and string folks afterwards. Here is an implementation of the Shunting-yard algorithm with additional support for unary prefix (e.g. Title: The Penrose Inequality as Swampland Condition? Albrecht Klemm Title: The positive Grassmannian, amplituhedron, and cluster algebras [online talk] [Slides]. [Slides] [Video], Antoine Bourget (CEA Saclay) This is damaging. How do I check if an array includes a value in JavaScript? 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. The corresponding Gopakumar-Vafa invariants provide a discrete refinement of the invariants associated to the smooth deformation. The powerpoint is here in powerpoint and here in pdf . All, In the presence of chiral multiplets that are added to plumbing graphs, we show that ST-transformations lead to many equivalent plumbing theories, and hence generalize the scope of Kirby moves. 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. I am not a fan of string theory. . Number Strings & Math Talk Routines for Grades 3-5. [Slides]. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. In 2016 the speaker was lucky enough to solve the sphere packing problem in dimension 8 and contribute to its solution in dimension 24. You will have to use the Number.isNaN() method to do it. See a live demo on the website. Title: Vafa-Witten Theory: Invariants, Floer Homologies, Higgs Bundles, a Geometric Langlands Correspondence, and Categorification [online talk] I did watch fully the discussions I wrote about here, also took a look at many of the others. The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. Abstract: I will discuss the theory of Dirac operators perturbed by the Coulomb potential in an arbitrary dimension. In this tutorial, we'll discuss various approaches to evaluate a math expression using Java. 3. Estrada Dona Castorina 110, Jardim Botnico 2021-22. At the time I drop those lines, more than 50 years from dual resonance models?, I havent found any convincingly argument. Title:Plumbing graphs with matter Physics Meets AI, LMU Munich, September 2020. It fully encodes the geometry, and a simple algorithm allows access to the structure of nested singularities, which corresponds physically to a generalized Higgs mechanism. 2. Abstract: We explore little string theories in six dimensions, constructed via F-theory that are dual to heterotic stringswith NS5 branes probing ADE type singularities. @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. 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. Title: Categorical Enumerative Invariants Simon Donaldson Chrome's Content Security Policy will still throw EvalError, Creating constructor doesn't make sense here and it takes unnecessary resources. Paul-Konstantin Oehlmann (Uppsala University) How to check whether a string contains a substring in JavaScript? Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. String Math 2021 - Mina Aganagic (UC Berkeley) Instituto de Matemtica Pura e Aplicada 115K subscribers Subscribe Share 926 views 1 year ago IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned. The choice of flat connection at infinity for E8 or Spin(32)/Z2 respectively captures the feature of the 6D conformal matter theory built on F-theory geometry. His third talk emphasizes thinking of space-time vectors as two by two matrices (see section 40.4 of my QM book). Of course, these are people. Lakshya Bhardwaj (University of Oxford) I dont think I was misrepresenting those at all. . 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. Title: q-series for so(3) and osp(1|2) I watched the entire video on the Poincare group and, although the path was the same as Weinberg, there was a lot of new information I thought it was excellent. Abstract: The spectrum of BPS states in D=4 supersymmetric field theories and string vacua famously jumps across codimension-one walls in vector multiplet moduli space. 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. [Slides] [Video], David Jordan (University of Edinburgh) +1 upvote from me, and I've already used it in a project. 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). for Fundamental Research), [D] Juan Maldacena (Institute for Advanced Study), [T] Shiraz Minwalla (Tata Inst. Georgios Linardopoulos (Wigner Research Centre for Physics) Every other answer either uses ify regular expressions or use. 2. [Slides] [Video], Jan Dereziski (University of Warsaw) Green and Witten, recto and verso rotations and translations are typically discretized due to the presence of a lattice)? Organized by Mina Aganagic , Ivan Danilenko , Andrei Okounkov, and Peng Zhou. CRM, Montreal, Canada. But what DUNE will find has been predicted years ago: normal neutrino mass order, no additional neutrinos, no proton decay, and no physics beyond the standard model whatsoever. He goes on to explain the landscape philosophy, which he sees string theorists (and himself) as now adopting. 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. how sensitive is the procedure to choice of k_mu he did the case where k_mu included a boost). He lists two main things we know about the supposed theory: 1. Does a barbarian benefit from the fast movement ability while wearing medium armor? 2013 Jul. Certificates YouTube live YouTube playlist of the lectures (Anyway, String Theory is mainly about Quantum Gravity). W roku 2019 otrzymaa nagrod Fermata oraz nagrod Ruth Lyttle Satter przyznawan przez Amerykaskie Towarzystwo Matematyczne, a w roku 2020 nagrod Europejskiego Towarzystwa Matematycznego. This is a truly fundamental idea about space time geometry that gets too little attention in most physics courses. Oh, God, how hard Ive slaved away, 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. I am currently reading Weinbergs book to fill some holes in my knowledge. 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. Can I tell police to wait and call a lawyer when served with a search warrant? Please, no more about the only string theory can compute the Black Hole entropy arguments. You, sir, are awesome. Pyry Kuusela (University of Oxford) The CY manifolds admitting supersymmetric flux vacua can be associated to elliptic, Hilbert, or Bianchi modular forms, depending on the field the complex structure moduli of the CY take values in. What hes doing is emphasizing ideas that are often not taught in conventional QFT courses (although they should be). The resulting quivers highlight fractionalization of those branes, that we determine for single and multiple brane stacks. https://www.youtube.com/watch?v=WwmxaXTnGMI Any other way wouldn't be as efficient. Title: Families of solutions of the heterotic G2 system Of course, I do not justify equally wrong comments from certain string theorists Weekly on Mondays 2:10 PM (Pacific Time) Meetings are in-person, at 402 Physics South. As has been the case for many years, it doesnt look like there will be anything significantly new on the age-old problems of getting fundamental physics out of a string theory. [Slides], Pawe Ciosmak (IDEAS NCBiR) Share. A hyperbolic d-manifold gives rise to a Hilbert space which is a unitary representation of the conformal group in d-1 dimensions. (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). Za te oraz inne osignicia otrzymaa wiele prestiowych nagrd i wyrnie, m.in. I saw the discussions you refer to. We also explain how these invariants and homologies will be categorified in the process, and discuss their higher categorification. Institutode Matemtica Pura e Aplicada (IMPA), Organizers: Henrique Bursztyn (IMPA), Reimundo Heluani (IMPA), Marcos Jardim (IMECC-UNICAMP), Gonalo Oliveira (UFF). Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. 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. Cookies and PrivacyAboutEventsNews Title: Non-Invertible Symmetries and Higher-Categories Is String Theory a Theory of Nature? 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. Thank you. We will explain how ideas from oriented matroids, tropical geometry, and cluster algebras shed light on the structure of the positive Grassmannian and the amplituhedron. Title: The sphere packing problem and beyond. I will show how this calculation works for su(2) and give an example. Adrian, with the exact opposite agenda. Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. 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. With what result? Hawking tells you what the semiclassical limit is. Marlborough School. Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. Probably not if you ask me. 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). 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 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. The recording of the lecture can be found here. Matilde Marcolli Abstract: Three-dimensional N =4 supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve N = (0, 4) supersymmetry. 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: The interpretation of semiclassical gravity as an average of CFTs has provided much progress in understanding the factorization problem and the information paradox. [Slides], Nicolo Piazzalunga (Uppsala University) Nothing will be said about multiverses or swampland on what follows. Hirosi Ooguri (Caltech & IPMU) The video is available here , and . I will present a general overview of the theory of CEIs, and discuss how it provides a conjectural approach to understanding enumerative mirror symmetry for the quintic threefold, in arbitrary genus. They have obvious applications to atomic physics. Well, that would be the case if people follow the hype for last 20-30 years or more. Shing-Tung Yau (Harvard University), The interpretation of semiclassical gravity as an average of CFTs has provided much progress in understanding the factorization problem and the information paradox. How is Jesus " " (Luke 1:32 NAS28) different from a prophet (, Luke 1:76 NAS28)? 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. What is the point of Thrower's Bandolier? Do I need a thermal expansion tank if I already have a pressure tank? Another talk of Penrose (and a conference in his honour): How would you please implement. Unfortunately, finding explicit solutions to the system is a challenging problem due to the existence of an anomaly cancellation condition for the gauge fields. There is also an open source implementation on GitHub, evaluator.js, and an NPM package. Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. 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. Considering two heterotic E8 E8 and Spin(32)/Z2 string theory placed on various background singularities, we expect the heterotic NS5 instantons to fraction. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. 2. Title: Holomorphic Floer theory and Donaldson-Thomas invariants I do not know if outreach sessions like the ones we witnessed in this Strings-conference are the best idea. Title: Emergence of Time from Unitary Equivalence The simplest example is the qubit. Finally, I will discuss some applications. We also provide the action of braiding on the relevant branes, so we can calculate Khovanov homology for any knot given its braid representation. Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence. @DKepler The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. What is a word for the arcane equivalent of a monastery? I agree with Felix. String Math 2021 - Denis Auroux (Harvard University) 2,124 views Jun 14, 2021 32 Dislike Share Save Instituto de Matemtica Pura e Aplicada 99.2K subscribers [Slides] [Video], Lauren Williams (Harvard University) IMPA, Rio de Janeiro, June 14 18, 2021 Turned into an online event. In this talk I will present how these two threads of research can be combined and what comes as a reward. To summarize the situation, now as it has ever been: 1. Its explicit description as a QFT has remained elusive. Mina Aganagic Algorithm methods are divided for each level of operations order as follows: parseFactor = 1. operator sign | variable evaluation | function call | parenthesis (sub-expressions); 2. exponentiation; parseTerms = 3. multiplication, division; parseExpression = 4. addition, subtraction.