Speaker: Jorge Olivares-Vinales (SCMS) Abstract: Lyapunov exponents play an important role in studying the ergodic behavior of dynamical systems. In particular, in the seminal work of Pesin, the existence and positivity of Lyapunov exponents were used to study the dynamics of non-uniformly hyperbolic systems. Since then, several extensions of this work have been developed for …
Speaker: Aron Heleodoro (University of Hong Kong) Abstract: Let $F$ be a discretely valued local field with an algebraically closed residue field $k$, e.g.\ $F=\bC((t)), \overline{\bF}((t))$, or $W(\overline{\bF})$. Let $G$ be a connected reductive algebraic group over $F$. One can associate to $G$ the loop group $LG$ which is a (perfect) ind-scheme over $k$. I …
Speaker: Yingdi Qin (SIMIS) Abstract: In classical geometry, a symplectic structure on a manifold is a non-degenerate closed 2-form. And a submanifold Y is called Lagrangian if the pull back of the closed 2-form is trivial and the induced bundle map from TY to TY is an isomorphism. In derived geometry, tangent bundles are replaced …
Speaker: Jianpeng Liu Abstract: In this talk, we will discuss correlated and topological states emerging from heterostructure systems consisted of graphene and other insulating substrates. First, we consider moire superlattices formed by rhombohedral multilayer graphene aligned with hexagonal boron nitride (hBN) substrate [1], where we provide a microscopic theory for the integer and fractional Chern …
Speaker: Jiming Ma (Fudan University) Abstract: It is well known that the complex hyperbolic triangle group $\Delta(3,3,4)$ generated by three complex reflections $I_1,I_2,I_3$ in $\mathbf{PU}(2,1)$ has a 1-dimensional moduli space. Deforming the representations from the classical real Fuchsian one to $\Delta(3,3,4; \infty)$, that is, when $I_3I_2I_1I_2$ is accidental parabolic, the 3-manifolds at infinity change, from …
Geometry and topology seminar at Fudan & Simis: Figure-eight knot is always over there Read More »
Speaker: Huichi Huang Host: Huaxin Lin Abstract: We give two equivalent conjectures of Furstenberg’s conjecture and these conjectures are in representation theory and Fourier analysis. Along the direction of Fourier analysis, we get some partial results. The talk is based on joint work with Jianchao Wu, Hanfeng Li, Enhui Shi and Hui Xu. Time: 2:30-3:30pm, …
An operator algebras seminar at SIMIS: Furstenberg’s conjecture and two related problems Read More »
Speaker: Antony Speranza (University of Amsterdam) Abstract: Entanglement entropy in quantum field theory is UV-divergent, which makes it a challenging quantity to analyze from an algebraic perspective. In this talk, I will describe how perturbatively coupling to gravity improves this situation, resulting in a well-defined notion of renormalized entropy in the semiclassical limit. This entropy …
Physical Math Seminar @SIMIS: Entropy in gravitational von Neumann algebras Read More »
Speaker: Qin Wang (East China Normal University) Host: Huaxin Lin Abstract: The uniform Roe algebra of a discrete metric space is a C*-algebra which analytically encodes the coarse geometry of the underlying space. It is known that counter-examples to the coarse Baum-Connes conjecture can be constructed by using expander graphs, the crucial point of which …
Speaker: Zhaojie Xu (Shanghai University) Abstract: The quantum Seiberg-Witten curve of the 5d N=1 pure SYM or the quantum mirror curve of a specific local Calabi-Yau manifold, known as local F_0, share intriguing connections with both the relativistic Toda lattice and the Harper-Hofstadter model in condensed matter physics. In this talk, we focus on the …
Physical Math Seminar @SIMIS: Non-perturbative aspects of the SW/CMT correspondence Read More »
Speaker: Leonardo Santilli (YMSC, Tsinghua University) Abstract: I will highlight some tensions in the current treatment of higher form symmetries, when the theory possesses a (d-1)-form symmetry. I will then show how, for invertibile symmetries, the tensions are automatically resolved in the formalism of gerbes. After this general introduction and motivation, I will present a …
Physical Math Seminar @ SIMIS：Lower form symmetries and gerbes Read More »
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