string math 2021 string math 2021

. https://sites.google.com/unifi.it/scri21/program where the dualisable dimensions are fibred over a `spectator base). Connect and share knowledge within a single location that is structured and easy to search. Black Hole Entropy and the Problem of Universality [https://arxiv.org/abs/gr-qc/0702094]. But the time, the community (and the arXiv) takes care of these mistakes. According to this philosophy, connection to particle physics appear[s] hopeless/parochial/unimportant. Abstract: The D3-D5 and D2-D4 probe-brane systems with nonzero worldvolume flux are holographically dual to N=4 super Yang-Mills and ABJM theory in the presence of half-BPS domain walls. There is also an open source implementation on GitHub, evaluator.js, and an NPM package. I strongly disagree with you about the issue of the intellectual honesty of my account of what Witten and Arkani-Hamed had to say. you see Ed Witten, and then Shiraz Minwalla, basically agreeing with you. You are possibly right its now pointless to debate those issues. He notes that to get at non-perturbative string theory we seem to need some more general understanding of quantum theories, going beyond the usual quantization starting with an action, and ends by saying maybe quantum information theory can help. June 14-18, 2021: String-Math 2021 (Plenary talk), IMPA, Rio de Janeiro, Brazil. Piotr Kucharski (University of Amsterdam) 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. The match can be extended to saddles which appear in non-trivial Coulomb branch vacua. Abstract:We discuss abelian 3d N=2 theories T[,U(1)] engineered by plumbing manifolds . https://www.youtube.com/watch?v=WwmxaXTnGMI One can define correlation functions and derive conformal bootstrap equations constraining the spectrum. [Slides] [Video], Edward Witten (IAS) Institutode Matemtica Pura e Aplicada (IMPA), Organizers: Henrique Bursztyn (IMPA), Reimundo Heluani (IMPA), Marcos Jardim (IMECC-UNICAMP), Gonalo Oliveira (UFF). 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. How can I find out which sectors are used by files on NTFS? 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 point though is that there are plenty of much simpler examples, which often can be understood purely in terms of representation theory. Davide Gaiotto There will also be a public lecture and outreach activity Ask a String Theorist during the weekend. Notes (with animations), Video. Title: Knizhnik-Zamolodchikov revisited: (non)supersymmetric gauge theories, defects, and localization Of course, I do not justify equally wrong comments from certain string theorists 2. Is String Theory a Theory of Nature? Evaluator.js is a small, zero-dependency module for evaluating mathematical expressions. (With exception of a group of very few dedicated researches, to whom I sincerely keep my deep respects.) . Adrian, 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. Thanks for allowing my last comment. But, as has also been the case for many years, the conference features many talks that have nothing to do with string theory and may be quite interesting. 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. [Slides] [Video], Jan Dereziski (University of Warsaw) Title: Towards F-theory MSSMs 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. 4. Hiraku Nakajima Penroses talk is interesting (https://www.youtube.com/watch?v=hk_6EtWUatM), as is the discussion between him and string folks afterwards. Dec 18, 2021 at 16:43. We focus on $\hat Z$ for $SO(3)$ group and orthosymplectic supergroup $OSP(1|2)$. 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). [Slides] [Video], Pierrick Bousseau (ETH Zrich) These symmetries vastly generalize the standard notion of global symmetries, and can be used in a similar way to obtain insights into strongly-coupled physical phenomena. Skeptical challenging of arguments is supposed to be what science is all about, but the speakers in this panel made it seem that this is absolutely not something that is part of their field or what they do. [Slides] [Video], David Jordan (University of Edinburgh) 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. This is enabledby thesurprisingappearanceof a Penner-like matrix model whose spectral curve turns out to give a Strebel differential. I will illustrate this construction on examples of low rank 4d N=2 SCFTs. 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. Adrian, The quotes I gave are accurate, and links are provided so that anyone who wants to can see the full context. If one knows how to read between the lines, then at this lecture you finally can hear what, in different words, could well be re-phrased as: the search for M-theory using dualities failed. 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. How useful this will be will depend on the symmetries you have available. Exactly because of this. He mentions that one basic problem with this is that there is no understanding of what happens in time-dependent backgrounds, so, in particular, this is useless for addressing the big bang, which is the one place people now point to as a possible connection to real world data. The program is based on two main ingredients: The complex geometry of the underlying moduli spaces on the one hand, and cluster algebra structures defined by BPS- or DT-invariants on the other hand. Even beginning PhD students will no longer believe that ST is the only framework that reproduces BH entropy. I hadn't known about this until your post. Find centralized, trusted content and collaborate around the technologies you use most. Im no whit wiser than when I began. As an application, I will use conformal bootstrap techniques to obtain new rigorous bounds on the first positive Laplacian eigenvalue of hyperbolic orbifolds. Abstract: I will discuss methods to numerically approximate Ricci-flat metrics for Calabi-Yau n-folds defined as complete intersections in toric ambient spaces. ), 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. Abstract: Three-manifold invariants $\hat Z$ (Z-hat), also known as homological blocks, are $q$-series with integer coefficients. Title: From BPS crystals to BPS algebras [Slides] [Video], Davide Gaiotto (Perimeter Institute) 2014 June. Enjoy. 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. Please, no more about the only string theory can compute the Black Hole entropy arguments. Equivalent plumbing graphs suggest dual theories. Abstract: Superconformal field theories with 8 supercharges in spacetime dimensions 3 to 6 have a large moduli space of vacua. with the exact opposite agenda.. Asking for help, clarification, or responding to other answers. Title: Holographic tensor networks from hyperbolic buildings String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. Of course there are many ways to obtain the BH formula that do not try to identify the microscopic degrees of freedom in a theory of QG, the original calculation from the 70s being an obvious example. Based on 2103.10271, 2111.07663 and upcoming work. Abstract: Gross and Siebert developed a program for understanding mirror symmetry algebro-geometrically. Progress in D=4, N=2 Field Theory, Strings-Math 2012, Bonn, July 2012 Powerpoint presentation here . How to evaluate string mathematical expressions in java script? Number Strings & Math Talk Routines for Grades 3-5. In other physical contexts you have different symmetries than Poincare, often approximate symmetries. Abstract: One aspect of the relation between physics and arithmetic geometry is the conjectured correspondence between supersymmetric flux vacua and weight-2 modular CY threefolds. We will focus on understanding 3d mirror symmetry viachiralalgebras. 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. [Slides] [Video], Mayuko Yamashita (Kyoto University) Edward Witten (Institute for Advanced Study) Knots and Natural Language. 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. (not not) operator in JavaScript? . it is true that experiments are real physics. from 9:30 15:00 in So Paulo (8:30 14:00 in NY, 14:30 20:00 in Paris). 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. You will have to use the Number.isNaN() method to do it. We construct a trace map on the elliptic chiral homology of the free beta gamma-bc system using the BV quantization framework. 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. 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). Abstract: Since 2017, knots and symmetric quivers are known to be intimately related via BPS spectra. Blasting is well underway in South Dakota for the $2 billion + LBNF/DUNE facility. Paul-Konstantin Oehlmann (Uppsala University) Only if the string comes from a trusted source. Katrin Wendland, Ron Donagi (University of Pennsylvania) [Slides], Aranya Bhattacharya (IISc, Bangalore) Sat 3 Apr 2021 12.00 EDT Last modified on Tue 6 Apr 2021 09.54 EDT. Just viewed the last question and answer session. We then show the explicit duality between a specific form of correlators, the spectral form factor, and the Loschmidt echo with $hat{H}_{mathrm{mod}}$. 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 way I see the string people (not necessarily those who appear in the media, but those who publish in the arXiv) is as a small set of honest and hard working physicists, technically sophisticated, researching mostly on QFT and Gravity, with various approaches. 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. The real stuff happens in physics without a press release, book, or blog. The general picture is nicely illustrated by the Borel TheamplituhedronAn,k,m(Z)is the image of the positive Grassmannian Grk,n0under a positive linear mapRnRk+m. 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. Rio de Janeiro, RJ, CEP 22460-320, Brasil 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. Abstract: I will discuss the theory of Dirac operators perturbed by the Coulomb potential in an arbitrary dimension. To summarize the situation, now as it has ever been: 1. lectures on Physics at Future Colliders at the ICTP summer school on particle physics, talk on Connecting String Theory to the Real World We See Outside Our Windows, https://sites.google.com/unifi.it/scri21/program, https://www.youtube.com/watch?v=WwmxaXTnGMI, https://www.youtube.com/watch?v=hk_6EtWUatM. 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:. Abstract: Holomorphic Floer theory is the analogof Floer theoryfor holomorphic symplectic manifolds. String-Math 2015, Hainan Island, China (December 31, 2015 - January 4, 2016; How to Quantize Gravity. 1. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Not the answer you're looking for? Title: Finite symmetry in field theory Strings 2021 is an annual conference that brings together the entire string theory community. But regarding superstrings, from such a strong statement one would expect at least proof (not rigorously by mathematical standards of course!) These have been going on for over 25 years, with nothing new in a very long time. Do roots of these polynomials approach the negative of the Euler-Mascheroni constant? 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. F-theory vacua with exactly one Higgs field and no vector-like exotics. How to properly convert string into int to calculate in JS? 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. 8. In my case, I will give a run, certainly much more healthy, no? This gives the symmetry algebra action on the categorifiedDT. The next String Math conference will take place on July 10-14, 2023, at the University of Melbourne in Australia. I will discussa phenomenon similar to Frobenius of modular representation theory. [Slides] [Video], Sam Raskin (University of Texas at Austin) We provide significant evidence that averaging plays an important role in reproducing. This is damaging. The plumbing graphs with matter can be viewed as certain kinds of quiver diagrams for 3d N=2 theories. Talks are available for watching every day via Youtube, links are on the main page. 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. [Slides] [Video], Sunghyuk Park (California Institute of Technology) 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. 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. W 2018 zostaa zaproszona jako wykadowczyni podczas Midzynarodowego Kongresu Matematycznego jest to jedno z najwaniejszych wyrnie dla matematykw. This is a joint work with Kwokwai Chan and Ziming Ma. 3. Solutions to this system describe compactifications of heterotic string theory with N=1 supersymmetry on a 7-dimensional manifold. Reimundo Heluani Organizing Committee. 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. This relation originally developed from the point of view of matrix models, was later studied from the point of view of conformal field theory. Dear Peter, How do I align things in the following tabular environment? [Slides] [Video], Netta Engelhardt (MIT) Starting from 1h14m of this meet the public vide This talk is based on joint work with Si Li. Theres no reason to get into the technical argument over whether the perturbative expansion of various versions of the superstring in 10d is mathematically well-defined. A place where magic is studied and practiced? Zygmunt Lalak For different choices of superpotential, the LG theory categorifies the quantum knot invariants associated with any simply-laced Lie algebra. 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. Title: Spectrum in quantum mechanics and deformed periods [online talk] Extending this story, I will talk about other physical realizations of analytically continued systems, such as Regge poles, replicas, or dimensional regularization. To address the problem of quantization of a space with gauge fields, first the structure that in the smooth (i.e. From the README: This approach is based on 2105.06039 and is joint work with Aganagic and Rapcak. This topic has been recently explored,from several differentperspectives,by Kontsevich-Soibelman and Doan-Rezchikov. Oh, God, how hard Ive slaved away, Fall 2021. crickets]. String Math 2021 IMPA, Rio de Janeiro, June 14 - 18 Program Break. Title: Families of solutions of the heterotic G2 system 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 . Clay Mathematics Institute, ContactEnhancement and Partnership ProgramMillennium Prize ProblemsPublicationsHome. Francis (Skip) Fennell | Nov 3, 2021 . Breaking news: on July 5, 2022, Maryna Viazovska was awarded with the Fields medal, the highest recognition in mathematics! Abstract: I will present some conjectures for higher-rank K-theoretic Donaldson-Thomas theory on toric three-folds, and some lessons that we learned from working equivariantly on non-compact spaces. @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. [Slides], Carlos Perez-Sanchez (University of Heidelberg) Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. [Slides], Sachin Chauhan (Indian Institute of Technology, Bombay) People are attempting to understand things, with the tools at hand. This jargon sounds a bit confusing. Title: Approximations for Calabi-Yau and other special holonomy/structure metrics The key steps in this equivalence is a probabilistic derivation of the DOZZ formula for the structure constants, the spectral analysis of the Hamiltonian of the theory and the proof that the probabilistic construction satisfies certain natural geometrical gluing rules called Segals axioms. 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. In other words, the string boundary conditions on the probe branes preserve the integrability of the corresponding Green-Schwarz sigma models. Everything is in the description. As you probably guess from my former comments under the present pseudonym, Im one of those students whom, maybe for lacking courage or ,who knows? Thats interesting, can you give pointers? The LQG derivation, involving an ad-hoc choice for the Immirzi parameter Chrome's Content Security Policy will still throw EvalError, Creating constructor doesn't make sense here and it takes unnecessary resources. 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. In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. Theres a lot of repetition of tired old arguments from decades ago, zero acknowledgement that things have not worked out as hoped. [Slides] [Video], Vincent Vargas (University of Geneva) How do I check if an array includes a value in JavaScript? Sorry, but deleted various attempts to carry on the experimentalist vs. theorist mudfight of Ellis_AND_Wooster/Andr. Title: Bootstrapping AdS/BCFT StringBufferStringBuilder 1. There are many equivalent graphs that are related by Kirby moves which are interpreted as integrating out gauge nodes from the perspectives of 3d theories. In addition, distinct tensor branch data obtained from 6D theories with a single instanton inspire us to classify heterotic strings probing ADE singularities. Probably not if you ask me. 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. To each 3-manifold equipped with a spin^c structure, is supposed to assign a q-series with integer coefficients that is categorifiable and provides an analytic continuation of the Witten-Reshetikhin-Turaev invariants. rev2023.3.3.43278. String theorists are for the most part no longer actively pursuing connecting to particle physics of the real world. Mina Aganagic . UBC, Vancouver, Canada. To learn more, see our tips on writing great answers. 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. Jednym z najwaniejszych osigni Maryny Viazovskiej jest rozwizanie tzw. 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. Strings 2021 started today, program is available here. Title: String integrability of defect CFT and dynamical reflection matrices Enjoy, This solution also clips whitespaces and checks for duplicating operators, e.g. ' Title: Geometry of Higher-Form Group Structures in String Theory The hyperKahler branches can be characterized by a combinatorial object known as a magnetic quiver. In two dimensions, thesebounds allow us to determine the set of first eigenvalues attained by all hyperbolic orbifolds. Finally, I will discuss some applications. The recording of the lecture can be found here. This finding suggests that the dual domain wall systems are integrable to all loop orders and for any value of the bond dimension. Any consistent theory of quantum gravity should reproduce this semiclassical limit. [Slides], Elise LePage (University of California, Berkeley) String Math 2021, held online by IMPA, Rio de Janeiro, Rio de Janeiro, June 14 - 18, 2021. Tony Pantev Note also that I was making no comment about the work people were presenting at the conference, was sticking to discussing particular important points about the current state of the subject being made by the two most talented and hard-w0rking leaders of the field. Here's a quick basic example I came up with (updated (2011-06-26): cleaner w/ input boxes). More information can be found here Thematic trimester on vertex algebras: Math 435 (Differential Geometry) Fall 2020. IMPA, Rio de Janeiro, June 14 - 18, 2021- Turned into an online eventSpeaker: Simon Donaldson (Imperial College)Lecture title: Calibrated geometry and gauge . The resulting quivers highlight fractionalization of those branes, that we determine for single and multiple brane stacks. Jackiw-Teitelboim/PeterH, If you're looking for a syntactical equivalent to eval, you could use new Function. Based on numerous works with G. Baverez, F. David, C. Guillarmou, A. Kupiainen, R. Rhodes. Moving away from such orbifold points requires generalizing the flow tree formula from the Abelian category of quiver representations to the derived category of the same. 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. sqrt()) notations. Quantum gravity: String theory is a theory of quantum gravity because it attempts to merge quantum physics with the theory of general relativity. 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 Title: Quantum duality and Morita theory for chiral algebras [online talk] It seems that no one in the string theory community dares to publicly breathe a word of skepticism. [Slides] [Video], Boris Pioline (Sorbonne Universit and CNRS) We provide new the structure that allows this, whose quantisation turns out to be lead to a multimatrix ensemble. Once again, this is just an opinion. 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. I will also discuss a second application, a new definition of FJRW invariants in the presence of an arbitrary symmetry group. Title: Langlands duality for 3-manifolds Abstract: The theory of Categorical Enumerative Invariants (CEIs) is a non-commutative generalization of the theory of Gromov-Witten invariants. 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. It is healthy. Also I explain what is the dimension for a mathematician and why it is an extremely useful concept for everyone. Summary Talk. W roku 2019 otrzymaa nagrod Fermata oraz nagrod Ruth Lyttle Satter przyznawan przez Amerykaskie Towarzystwo Matematyczne, a w roku 2020 nagrod Europejskiego Towarzystwa Matematycznego. Based on joint work with Petr Kravchuk and Sridip Pal. We introduce a new idea, boundary averaging, to address the question: Does averaging also work well in AdS/BCFT? Others clearly feel differently and think this is of huge significance. How to transform string into integers and operators in Javascript? It's december of 2021, and the java world has been rattled by a log4j vulnerability. StringStringfinal . Abstract: The heterotic G2 system is the 7-dimensional analogue of the Hull-Strominger system. See a live demo on the website. There are other views, it is a matter of taste. 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. Title: Path integral derivations of K-theoretic Donaldson invariants Local nodes will be coordinated worldwide for the joint viewing of talks and discussion sessions, and online satellite meetings during other time periods will be linked on this webpage.