String Maths 2021 During the week of June 14-18 we will be hosting a major event in mathematical physics. Zygmunt Lalak We will speak about the history of Keplers conjecture. Abstract: Homological block, commonly denoted by , is a 3-manifold invariant whose existence was predicted by S. Gukov, D. Pei, P. Putrov, and C. Vafa in 2017 using 3d/3d correspondence. In this talk, I will review the probabilistic construction and its equivalence with the bootstrap construction used in the physics literature. The talk is based on work in collaboration with Davide Gaiotto. Green and Witten, recto and verso 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. https://arxiv.org/pdf/0809.0305.pdf, Already at p.1 one reads, The Problem: According to textbooks, the passage from classical mechanics to quantum mechanics is made by replacing Poisson brackets with commutators. In this talk, I will give a slightly abstract explanation of this phenomenon, at least for the case of a black hole. 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. Strings 2022 Summary Talk. What hes doing is emphasizing ideas that are often not taught in conventional QFT courses (although they should be). This approach is based on 2105.06039 and is joint work with Aganagic and Rapcak. This talk is based on joint work with Si Li. The powerpoint is here in powerpoint and here in pdf . The qubit example is a bit unfair since in some sense its the quantization of the sphere, although this sphere is not a classical limit of the quantum theory (and sphere isnt a cotangent bundle of some configuration space). 2013 Nov. Osaka City University, Japan. 4. Everything is in the description. Abstract: Three-dimensional N =4 supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve N = (0, 4) supersymmetry. We also discuss generalizations to b_2^+(X)>1. All major operations, constants, and methods are supported. 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. Abstract: The six-dimensional superconformal field theory associated to an ADE Lie algebra plays a key role in the AGT correspondence. Number Strings & Math Talk Routines for Grades 3-5. 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. Nov 22-26, 2021: Higher structures in geometry and physics, Chern Institute of Mathematics, Nankai University 9. Title: Emergence of Time from Unitary Equivalence 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. I will first sketch a broad approach to systematically understand the underpinnings of this still mysterious connection between gauge theories (in the large N limit) and perturbative closed string theory. We physically derive (i) a novel Vafa-Witten four-manifold invariant associated with this moduli space, (ii) their relation to Gromov-Witten invariants, (iii) a novel Vafa-Witten Floer homology assigned to three-manifold boundaries, (iv) a novel Vafa-Witten Atiyah-Floer correspondence, (v) a proof and generalization of a conjecture by Abouzaid-Manolescu about the hypercohomology of a perverse sheaf of vanishing cycles, (vi) a Langlands duality of these invariants, Floer homologies and hypercohomology, and (vii) a quantum geometric Langlands correspondence with purely imaginary parameter that specializes to the classical correspondence in the zero-coupling limit, where Higgs bundles feature in (ii), (iv), (vi) and (vii).
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string math 2021