先哲孔子曾说:“我非生而知之者,好古,敏以求之者也。” 学习了解中国历史与文化,增强文化自信,是求真书院培养学生的目标之一。3月3日-5日,丘成桐先生带领求真师生赴山东开展中国历史文化实践游学活动,分别...
Abstract The asymptotic variance is an important criterion to evaluate the performance of Markov processes, especially for the central limit theorems. In this talk, we give a variational formula
Prerequisite Calculus, Mathematics Statistics Abstract Sparse Identification of Nonlinear Dynamics (SINDy) is a machine learning method proposed by Steven L. Brunton group to identify the form
Prerequisite Discrete mathematics, algorithms, and elementary logic Abstract In this course, we study methods to define the behaviors of programs and approaches to reason about the properties
Abstract I will describe a uniform construction to gauge a discrete invertible symmetry S in possibly non-topological (D+1)-dimensional quantum systems with higher-categorical and possibly
Abstract Let $H$ be a graph with $\chi(H) = r+1$. Simonovits's theorem states that, for every edge-critical graph $H$, the unique largest $H$-free subgraph of $K_n$ is its largest $r$-partite
Abstract In my talk, I will report on recent joint work with I. Biswas, S. Dumitrescu and S. Heller showing the existence of holomorphic maps from a compact Riemann surface of genus g>1 in
Abstract Huybrechts proved that a stability condition on a K3 surface is determined by the stability of spherical objects. Motivated by the study of the Thurston compactification of spaces
Abstract I will report on some recent developments in the theory of p-adic differential equations. The talk will be an invitation to the theory and I'll try to maintain it accessible to a large