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Joint Chinese-Russian Mathematical Online Colloquium

Organizing Committee

  • Huijun Fan (SMS PKU)
    symplectic geometry and mathematical physics, geometric analysis
  • Sergey Gorchinskiy (MI RAS)
    algebra and geometry: algebraic geometry, K-theory
  • Hailiang Li (SMS CNU)
    fluid mechanics, partial differential equations, analysis
  • Jinsong Liu (AMSS)
    algebraic geometry: singularity theory
  • Yi Liu (BICMR)
    Topology of 3-manifolds, hyperbolic geometry
  • Denis Osipov (MI RAS)
    algebraic geometry, number theory, integrable system
  • Ye Tian (UCAS, AMSS)
    Number Theory, Arithmetic Geometry, Iwasawa Theory
  • Alexey Tuzhilin (MSU)
    geometry: Riemannian and metric geometry
  • Yue Yang (CE PKU)
    computation mathematics and mechanics
  • Ping Zhang (AMSS)
    P. D. E.: fluid equation and semi-classical analysis
  • Alexander Zheglov (MSU)
    geometry: algebraic geometry, integrable system


11:00 (GMT+3)
  Xiaolei Wu
Fudan University

Bio: Dr. Xiaolei Wu is an Young Investator at the Shanghai Center for Mathematical Sciences, Fudan University. He obtained his Ph.D in SUNY Binghamton working with F. Thomas Farrell. He was a postdoc at Free University of Berlin, MPI Bonn, Univeristy of Bonn and Bielefeld University. He joined Fudan in 2021. His research interests includes Geometric group theory, manifold topology and Algebraic K-theory.

Embed groups into bounded acyclic groups.

We first discuss various embedding results for groups in the literature. Then we talk about how could one embed a group of type F_n into a group of type F_n with no proper finite index subgroup quasi-isometrically. The embedding we have uses the so called labelled Thompson groups, and it is functorial. We also show that the labeled Thompson group is always bounded acyclic. As a corollary, one could embed any group of type F_n into a bounded acyclic group of type F_n quasi-isometrically. This is based on a joint work with Fan Wu, Mengfei Zhao and Zixiang Zhou.



12:00 (GMT+3)
  Anatoly Fomenko
Moscow State University

Bio: Anatoly Fomenko is a full member (Academician) of the Russian Academy of Sciences (1994), the International Higher Education Academy of Sciences (1993) and International Academy of Technological Sciences (2009), as well as a doctor of physics and mathematics (1972), a professor (1980), and Head of the Differential Geometry and Applications Department and the Head of Section of Mathematics of the Faculty of Mathematics and Mechanics in Moscow State University (1992). Fomenko is the author of the theory of topological invariants of an integrable Hamiltonian system. He is the author of more than 250 scientific publications, 30 monographs and textbooks on mathematics, a specialist in geometry and topology, variational calculus, symplectic topology, Hamiltonian geometry and mechanics, and computational geometry. Fomenko is also the author of a number of books on the development of new empirico-statistical methods and their application to the analysis of historical chronicles as well as the chronology of antiquity and the Middle Ages. Fomenko is also known for his original drawings inspired by topological objects and structures.

A new class of integrable billiards.

A new class of integrable billiards has been introduced: evolutionary force billiards. They depend on a parameter and change their topology as energy (time) increases. It has been proved that they realize some important integrable systems with two degrees of freedom on the entire symplectic four-dimensional phase manifold at a time, rather than on only individual isoenergy 3-surfaces. For instance, this occurs in the Euler and Lagrange cases. It has also been proved that these two well-known systems are “billiard-equivalent”, despite the fact that the former one is square integrable, and the latter one allows a linear integral.

 The meeting will be held in the form of a webinar on the Voov platform.

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Meeting ID:498-2712-5392