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. Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. Title: Deriving Gauge-String Duality Java basics Unit 2 - Functions and Testing Unit 3 - String & Math Unit 4 - Loops & Algorithms Unit 5 - Classes and objects Unit 6 - Processing libraries Unit 7 - Arrays Unit 8 . Update: In the final discussion section, Witten emphasizes that What is string theory? still has no answer, that we have little idea what it really is. Inspired by definitions of abstract (finite) groups and algebras and their linear actions, we introduce a framework for these symmetries in field theory. We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSP(1|2)$. 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 By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. 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. I hadn't known about this until your post. (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). Title:Landau-Ginzburg models for cominuscule homogeneous spaces Abstract: About 40 years ago J. Zinn-Justin formulated several conjectures about the perturbative expansion of the spectrum a quantum Hamiltonian (for the polynomial potential in 1 variable). This approach is based on 2105.06039 and is joint work with Aganagic and Rapcak. 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). Abstract: Three-dimensional N =4 supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve N = (0, 4) supersymmetry. StringStringfinal . 2013 Nov. Osaka City University, Japan. All, 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. I think I was doing him a favor by not quoting that kind of thing, which he really should be embarrassed about. 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. So, does anyone know about alternatives to eval()? 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. Physics Meets AI, LMU Munich, September 2020. One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. 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. from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). How do I replace all occurrences of a string in JavaScript? Title: Quantum duality and Morita theory for chiral algebras [online talk] it is true that experiments are real physics. String Math Summer School. 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. [Slides] [Video], Fabian Ruehle (Northeastern University) In particular, he discovered a hidden structure governed by Bernoulli numbers. Title: Quantum curves and vertex algebras 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. 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 theorist: indeed, whats QCD?. I will also touch upon the issue of the Lorentzian vs Euclidean metric slice in the path integral contour of quantum gravity. They are exactly solvable in terms of Whittaker functions. But keep in mind that using the Function constructor in this way is similar to eval() in that the risks may be comparable. Title: The character of M-theory 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. 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. !) (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Evaluate an Equation in Javascript, without eval(), Stand-in mathematical replacement for eval. This public lecture is also a lecture in the Zapytaj fizyka series here is the lecture website. It's december of 2021, and the java world has been rattled by a log4j vulnerability. Ironically, the very fact that he had to refer to it at all should alarm them. On the other hand, differential cohomology theories, whose relationships with physics are classical, are most modernly understood in terms of sheaves on manifolds with values in (\infty, 1)-categories. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. However, this is an unrealistically simple description of the situation, even for a basic example such as the classical phase space.. 11. All, In this talk, we will explain how to compute concrete equations of mirrors to blow-ups of toric varieties in the framework of the GrossSiebert program. Title: Perturbative calculations in twisted 4d gauge theories [online talk] I believe that your permanent opposing the string hypes is good and welcomed. This talk is based on joint work with Xenia de la Ossa, arXiv:2111.13221. Workshop on Categorification and geometric representation theory. Here is an implementation of the Shunting-yard algorithm with additional support for unary prefix (e.g. CEIs should be thought of as a precise realization of the general idea, due to Kontsevich, that the category of open strings (plus data of the splitting) determine closed string invariants. We will speak about the history of Keplers conjecture. 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. Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization TheamplituhedronAn,k,m(Z)is the image of the positive Grassmannian Grk,n0under a positive linear mapRnRk+m. [Slides]. Title: q-series for so(3) and osp(1|2) It has a beautiful combinatorial structure as well as connections to statistical physics, integrable systems, and scattering amplitudes. This provides an enumerative interpretation of the A-model topological string partition function on non-commutative resolutions of the singular Calabi-Yaus. This is joint work with Constantin Teleman and Greg Moore. Invertible QFTs are expected to form a sheaf of \infty-groupoids, and we apply the framework of differential cohomology to this sheaf. Chen-Te Ma (Asia Pacific Center for Theoretical Physics) We also discuss generalizations to b_2^+(X)>1. 4. String theory calculations that can be done in unphysical situations (wrong dimension, lots of SUSY, extremal black holes) claim to reproduce the semiclassical limit. Any other way wouldn't be as efficient. Just viewed the last question and answer session. In particular, we provide two different path integral derivations of their wall-crossing formula for b_2^+(X)=1. The LQG derivation, involving an ad-hoc choice for the Immirzi parameter Francis (Skip) Fennell | Nov 3, 2021 . Really amazing work! String Theory Loves SUSY + Unification, to what they are saying now that the LHC has found no SUSY. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Alba Grassi (CERN)Lecture title: Painlev equations, quantum operators and gaug. Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . Maxim Kontsevich (IHS) Suomynona, With what result? Ta strona wykorzystuje ciasteczka (cookies) w celu zapewnienia maksymalnej wygody w korzystaniu z naszego serwisu. Reimundo Heluani Organizing Committee. CRM, Montreal, Canada. Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. Lectures at St. Ottilien: Quantum Symmetries and K-Theory. People are attempting to understand things, with the tools at hand. How do I align things in the following tabular environment? 2. 2013 Jul. Find centralized, trusted content and collaborate around the technologies you use most. Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. 1. Abstract: Twisted holography relates the 2d chiral algebra subsector of N = 4 SYM to the B-model topological string theory on the deformed conifold SL(2,C). 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. 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. Abstract: Three-manifold invariants $\hat Z$ (Z-hat), also known as homological blocks, are $q$-series with integer coefficients. [Slides] [Video], Mirjam Cvetic (University of Pennsylvania) Making statements based on opinion; back them up with references or personal experience. 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. We are going to perform a construction of such quantum curves using the mathematical language of vertex operator algebras. Title: Geometry of Higher-Form Group Structures in String Theory 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. Title: Families of solutions of the heterotic G2 system This is damaging. 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. Title: Revisiting Heterotic ALE Instantons: F-theory, 2-groups, and T-duality Nicolai Reshetikhin Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence. Math 435 (Differential Geometry) Fall 2020. To begin with, we'll discuss a few third-party libraries and their usage. StringStringBuilderStringBufferMath.
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