会议室预约入口
"智能计算与应用"同济大学数学中心
English
学术报告
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Existence of Good Moduli Space of Vector BundlesWe prove that, among all open substacks of moduli stacks of rank 2 bundles over a curve, the open substack of semi-stable bundles is the unique maximal one that admits a separated good moduli space. One example in rank 3 case shows that a s...2022年02月28日
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An Introduction to Schur-Weyl DualityIn this talk, we start with recalling the double centralizer property in a graduate algebra course, then review its origin where Schur completely determined the polynomial representations of GL(n,$\mathbb{C}$) via the technique in 1927, ...2022年01月10日
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Some Results on One-Dimension Systems of Quasilinear Wave EquationsIn this talk, for one-dimension systems of quasilinear wave equations with null conditions, we will introduce the following results:1. Global existence of classical solutions for the Cauchy problem in the small data setting;...2022年01月05日
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Euler Sums and Convolution Identities on Bernoulli NumbersIn this report, we introduce some recent works on the Euler sums via the Stirling sums, multiple zeta values, residue computation, etc. We also establish several series identities on the Euler type sums, which can be viewed as symmet...2021年12月27日
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On the Lp Brunn-Minkowski Theory for $C$-Coconvex SetsIn this talk, we will discuss the $L_p$ Brunn-Minkowski theory associated with the $C$-coconvex sets for $p\in [0,1)$ and the $L_p$ Minkowski problem associated with the $C$-coconvex sets for $p\in R$. In particular, we will talk about ou...2021年12月23日
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The Jacobian of Modular FormsIt is an important problem in the theory of modular forms to determine the structure of rings of modular forms, that is, to find explicit generators and their relations. In this talk, I will introduce the modular Jacobian approach to construct and cla...2021年12月22日
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Minimal Graphs and Related Flows in Warped Product ManifoldsIn this talk we report our series of results on minimal graphs and related problems in warped product (WP) manifolds. Our motivation is to view WP manifolds as canonical manifolds in the certain sense. Then we introduce our result...2021年12月22日
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Multi-Modes Method,Ensemble Method,and Multi-Scale Method for Random PDEs and Homogenization ProblemsIn this talk, I shall first discuss a newly developed multi-modes Monte Carlo method for solving random PDEs, both random diffusion equations and random wave equations (in frequency domain) will ...2021年12月20日
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On Numerically Trivial Automorphisms of Threefolds of General TypeIn studying automorphism groups of projective varieties X, it is a basic problem to understand its induced action on the cohomology groups, say with rational coefficients. We call an automorphism σ∈Aut(X) numerically trivial, if it...2021年12月16日
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On the Multiscale Landau-Lifshitz-Gilbert EquationPermalloy is a nickel-iron magnetic alloy, which typically has a face-centered cubic phase but may form an irregular polycrystalline structure. Its magnetization dynamics is modeled by the multiscale Landau-Lifshitz-Gilbert (LLG) equation ...2021年12月16日
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