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20

2024-12

Permutation groups, symmetry breaking and probability

报告人：黄弘毅博士（英国布里斯托大学）时间：2024年12月24日 10:30-11:30地点：海纳苑2幢820摘要: There are two natural ways to break all the non-trivial symmetries of a graph: pointwise and setwise, which involve the base size and the distinguishing number of a permutation group, respectively. These two invariants have been investigated for many decades, finding a wide range of applications. In th...

05

2024-12

Real-time simulation of spin chains in an open quantum system

报告人：王戈烁博士后（新加坡国立大学）报告时间：12月12日（周四）10：00-11：00报告地点：数学楼（海纳苑2幢）210室报告摘要: We present a novel approach for real-time simulations of open quantum systems, focusing on spin chains where each spin is coupled to its own harmonic bath. Our method integrates the inchworm technique for the spin-boson model with the modular path integral ...

03

2024-12

Dynamic Factor Analysis with Dependent Gaussian Processes for High-dimensional Gene expression trajectories

报告人：蔡嘉辰（Stanford University, Gladstone Institutes）报告时间：12月13日（周五）15：00-17：00报告地点：数学楼（海纳苑2幢）203室报告摘要: The increasing availability of high-dimensional, longitudinal measures of gene expression can facilitate understanding of biological mechanisms, as required for precision medicine. Biological knowledge suggests that it may be best to desc...

03

2024-12

A Hierarchical Bayesian Structural Time Series model for inferring causal impact of policy implantation on mental health

报告人：于雪雯（London School of Economics and Political Science）报告时间：12月13日（周五）15：00-17：00报告地点：数学楼（海纳苑2幢）203室报告摘要: The Bayesian Structural Times Series (BSTS) model has been adopted to evaluate the causal effects of policy implementations. The framework integrates the synthetic controls method to forecast the counterfactual time series and empl...

15

2024-11

代数几何讨论班——Double star arrangements and the pointed multinet

报告人：刘永强（中国科学技术大学）报告时间：11月26日（周二）下午2点-3点报告地点：数学楼（海纳苑2幢）720室报告摘要: Let A be a hyperplane arrangement in a complex projective space. It is an open question if the degree one cohomology jump loci (with complex coefficients) are determined by the combinatorics of A. By the work of Falk and Yuzvinsky, all the irreducible compon...

14

2024-11

代数几何讨论班——Minimal model program for algebraically integrable foliations and generalized pairs

报告人：韩京俊（复旦大学）报告时间：11月19日（周二）下午4点-5点报告地点：数学楼（海纳苑2幢）720室报告摘要: Algebraically integrable foliations and generalized pairs are two structures that play important roles in modern birational geometry, specifically in the minimal model program. Recently, we showed we may run the minimal model program for both algebraically...

13

2024-11

The Catalan conjecture and its new proof

08

2024-11

Regularized 13-Moment Equations with Onsager Boundary Conditions in the Linear Regime

23

2024-10

动力系统与分形几何讨论班——An upper bound for polynomial volume growth or Gelfand–Kirillov dimension of automorphisms of zero entropy

报告人：胡飞（南京大学）报告时间：10月27日（周日）上午10点-11点报告地点：数学楼（海纳苑2幢）101室报告摘要: Let X be a smooth complex projective variety of dimension d and f an automorphism of X.Suppose that the pullback f^* of f on the real Néron–Severi space N^1(X)_R is unipotent and denote the index of the eigenvalue 1 by k+1.We prove an upper bound for the polynomial volume...

21

2024-10

代数几何讨论班——On the Hodge theory of Toroidal embeddings and corresponding Vanishings

报告人：魏传豪 (西湖大学)时间：2024年10月22日（星期二），下午4:00-5:00地点：海纳苑2幢206摘要：Deligne's logarithmic comparison theorem and the degeneracy of the spectural sequence of logarithmic de Rham complex gives the mixed Hodge structure of a projective smooth variety with a normal crossing boundary divisor. In this talk, we will try to build a s...

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