[Slides], Thorsten Schimannek (LPTHE Paris) 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). Mark Gross One can add superpotentials, which lead to Seiberg-like dualities between plumbing graphs with triangles. (iii) Most superstring calculations are performed under euclidean worldsheet for many practical reasons, as we all know and love from Wicks rotation in standard q.f.t.s. Anyway, truly bold attempt! We determine the T-dual theories and match those global symmetries across the dualities. !) Dr. Kessner. 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. I am currently reading Weinbergs book to fill some holes in my knowledge. Probably the best answer. [Slides], Meng-Chwan Tan (National University of Singapore) Abstract: The sphere packing problem is a very natural geometric question and it has a long and exciting history. 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. Abstract:We discuss abelian 3d N=2 theories T[,U(1)] engineered by plumbing manifolds . How is Jesus " " (Luke 1:32 NAS28) different from a prophet (, Luke 1:76 NAS28)? 10. 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. 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. The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. Interestingly, most of the structures uncovered have a fractal boundary at infinity, which possesses a rich geometric structure. +1 upvote from me, and I've already used it in a project. A limit involving the quotient of two sums. String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. Finally, we will discuss one recent example (joint with Justin Hilburn) that can be completely understood mathematically: abelian 3d mirror symmetry. I will also explain how the Hecke operators from geometric and analytic Langlands correspondence are realized in the four dimensional super-Yang-Mills theory. Paraphrasing Fermat, I have discovered the ugly truth of this, which this margin is too narrow to contain. Nevertheless, it may be worthy registering on this blog some of those problems which arent enough emphasized. 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. An exchange that was otherwise quite lively and interesting, you paint in the worst possible way. How do I align things in the following tabular environment? Note : There is no library used in this solution purely hard coded, My solution takes into account of brackets also like 8+6(7(-1)) or 8+6(7(-1)), You can do these operations ^, *, /, +, -, To calculate a string use calculate(tokenize(pieval("8+6(7(-1))").join(""))). Thank you. The conference String-Math 2021 which was supposed to be held at IMPA, will be online due to the current pandemic. There is also an open source implementation on GitHub, evaluator.js, and an NPM package. Robert A. Wilson, Follow [Slides], Pawe Ciosmak (IDEAS NCBiR) Im no whit wiser than when I began. 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. [Slides] [Video], Fabian Ruehle (Northeastern University) Elements of this Hilbert space can be thought of as local operators living in a (d-1)-dimensional spacetime. Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. 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. That looks nothing like the real world, and as Minwalla points out, no one at the Strings conference is even talking about that sort of string theory anymore. We are going to perform a construction of such quantum curves using the mathematical language of vertex operator algebras. Title: Non-Invertible Symmetries and Higher-Categories Abstract: I will discuss the theory of Dirac operators perturbed by the Coulomb potential in an arbitrary dimension. In this case, because the string is assumed to be safe and trusted, we would expect use of either eval() or the Function constructor to be reasonable. You wrote Rio de Janeiro, June 18th, 2021. I did watch fully the discussions I wrote about here, also took a look at many of the others. With what result? [Slides] [Video], Lauren Williams (Harvard University) 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. 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. Enter your email address to subscribe to this blog and receive notifications of new posts by email. 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. This is joint work with Mark Gross. 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. The powerpoint is here in powerpoint and here in pdf . [Slides], Sachin Chauhan (Indian Institute of Technology, Bombay) 2014 June. As a result, he sees the current situation as. String-Math, June 2013. The general picture is nicely illustrated by the Borel 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. 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. Asking for help, clarification, or responding to other answers. The methods can also be extended to SU(n) or G2 structure metrics 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. 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. All, We also explain how these invariants and homologies will be categorified in the process, and discuss their higher categorification. 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 theorists are for the most part no longer actively pursuing connecting to particle physics of the real world. Title: From BPS crystals to BPS algebras We highlight prototype examples of elliptically fibered non-compact Calabi-Yau fewfolds and comment on the fate of these symmetries when these spaces become compact. Title: Holographic tensor networks from hyperbolic buildings 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. Suomynona, In 2019, S. Gukov and C. Manolescu initiated a program to mathematically construct via Dehn surgery, and as part of that they conjectured that the Melvin-Morton-Rozansky expansion of the colored Jones polynomials can be re-summed into a two-variable series for knot complements. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities.