Friday, December 14, 2018
Venue: Lecture Hall, 2nd Floor, Building A6.
This Colloquium aims to present recent developments in the mathematical research of some research groups at the Beijing International Center for Mathematical Research, Peking University and the Institute of Mathematics, Vietnam Academy of Science and Technology.
All interested colleagues are cordially invited.
Program: (each talk: 45 minutes)
Morning: 9:0012:00
 Ruochuan Liu, Title: padic RiemannHilbert correspondence, de Rham comparison and periods on Shimura varieties
 Zaiwen Wen, Title:SecondOrder Type Optimization Methods For Data Analysis
 Doan Thai Son, Title: Some new aspects of stochastic bifurcation theory
Afternoon: 14:0016:00
 Zhiyu Tian, Title: Asymptotic of space of rational curves
 Ngo Viet Trung, Title: Membership criteria and containments of powers of monomial ideals
Detailed information
Speaker: Prof. Ruochuan Liu
Title: padic RiemannHilbert correspondence, de Rham comparison and periods on Shimura varieties Abstract: In the previous work with Xinwen Zhu we construct a padic analogue of the classical RiemannHilbert correspondence. As a byproduct the de Rham periods of a general Shimura variety are obtained. In a recent joint work with Hansheng Diao, KaiWen Lan and Xinwen Zhu, we further establish a logarithmic version of the correspondence which enables us to establish the de Rham comparison theorem with coefficients for quasiprojective varieties and compare the de Rham periods and complex periods for a general Shimura variety.
Speaker：Prof. Zaiwen Wen
Title: SecondOrder Type Optimization Methods For Data Analysis Abstract: Optimization models are ubiquitous in data analysis. In this talk, we will review GaussNewton methods for phase retrieval, semismooth Newton methods for composite convex programs and its application to largescale semidefinite program problems, subsampled semismooth Newton method for nonsmooth composite minimization problems from largescale machine learning, as well as an adaptive regularized Newton method for Riemannian Optimization.
Speaker: Prof. Zhiyu Tian
Title: Asymptotic of space of rational curves Abstract: In this talk I will discuss two conjectures describing the asymptotic behavior of the space of rational curves on a Fano/rationally connected variety, one topological (Segal's conjecture), one arithmetic (Manin's conjecture). The striking similarity and compatibility between the two conjectures also suggest that everything should be motivic in a suitable sense.
Speaker: Prof. Doan Thai Son
Title: Some new aspects of stochastic bifurcation theory Abstract: Despite its importance for applications, relatively little progress has been made towards the development of a bifurcation theory for random dynamical systems. In this talk, we first give a brief overview of the random bifurcation theory. Next, we present our recent contributions on this theory which includes the Pitchfork and Hopf bifurcation with additive noise and a topological classification of random circle maps.
Prof. Ngo Viet Trung
Title: Membership criteria and containments of powers of monomial ideals Abstract: We present relationships between optimal solutions in combinatorial optimization and membership criteria for powers of monomial ideals. This relationship leads to several new results and problems on containments between ordinary powers, symbolic powers and their integral closures.
