Speaker: 来米加教授（上海交通大学） Abstract: Hamilton’s pinching conjecture asserts that if a three dimensional manifold satisfies a Ricci pinching condition (, for some small ), then M must be compact unless it is flat. This conjecture was recently proved by Lee and Topping. In this talk, I will first talk about the origin of this conjecture, which is a …
Speaker: Alexander Ochirov (SPST, ShanghaiTech University) Abstract: I will review some recent developments in massive higher-spin theory, namely, Zinoviev’s massive gauge symmetry and the new chiral-field approach. I will discuss the applications of massive higher-spin scattering amplitudes to classical gravitational dynamics of rotating black holes, in particular, the so-called gravitational Compton amplitude. Time: 16:00 ~ …
Speaker: Rui-Dong Zhu (Soochow University) Abstract: Various kinds of integrability structures have been found in supersymmetric gauge theories, while we still have limited understanding on the connection among them. In this talk, I will explain an efficient method, called the rational Q-system, to find all the physical solutions to the Bethe ansatz equation in spin …
Speaker: Kilar Zhang (Shanghai University) Abstract: The newly established Seiberg-Witten (SW)/Quasinormal Modes (QNM) correspondence offers an efficient analytical approach to calculate the QNM frequencies, which was only available numerically before. This is based on the fact that both sides are characterized by Heun-type equations. We find that a similar duality exists between Seiberg-Witten theory and …
Speaker: Lingjie Du (School of Physics Nanjing University, China) Abstract: Gravitons are hypothetical neutral spin-2 bosons[1]. In the fractional quantum Hall (FQH) state at filling factor v = 1/3, a chiral graviton mode is predicted as quantum of metric fluctuations under a new quantum geometry description [2,3,4], which could be described by the corresponding Fierz-Pauli …
Speaker: Professor Mikhail Khovanov (Columbia University) Abstract: We recall how the Jones polynomial of links lifts to a link homology theory which is functorial under link cobordisms in 4-space. Extending this homology theory to tangles relates the theory to a variety of categories in representation theory and geometry. Another extension, to a categorification of the …
SIMIS-Fudan Colloquium: Link homology theories and their ramifications Read More »
Speaker: Weiguang Cao (IPMU, Tokyo University) Abstract: Recently, the notion of symmetry has been generalized. While ordinary symmetry can be described by a (1) co-dimension 1, (2) topological operator with (3) group-like fusion rule, generalized symmetries are described by operators that relax one or more conditions. Generalized symmetry plays an important role not only in …
Speaker: Ye Yuan (Zhejiang University) Abstract: In this talk I will discuss a differential representation for holographic four-point correlators. In this representation, the correlators are given by acting differential operators on certain seed functions. The number of these functions is much smaller than what is normally seen in known examples of holographic correlators, and all …
Speaker: Junwu Tu (ShanghaiTech University) Abstract: We shall discuss the categorical enumerative invariants associated with a smooth projective family of Calabi-Yau 3-folds. In particular, we study the holomorphic anomaly equations in this context. This naturally leads to the study of geometric structures on moduli spaces of smooth projective Calabi-Yau 3-folds. Time: 16:00 ~ 17:00, Mon., Mar. 25, 2024 …
Speaker: Satoshi Nawata (Fudan University) Abstract: The study of 3d mirror symmetry has greatly enhanced our understanding of various aspects of 3d N=4 theories. In this talk, starting with known mirror pairs of 3d N=4 quiver gauge theories and gauging discrete subgroups of the flavour or topological symmetry, I discuss new mirror pairs with non-trivial …
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