报告题目: Associated varieties of simple affine vertex algebras
报 告 人: Libor Krizka
时 间: 2023年9月22日(周五)10:00-11:00
地 点: 6号楼323报告厅
简 介: Associated varieties of vertex algebras capture not only some of important properties of vertex algebras but are also closely related to the Higgs branches of four-dimensional N=2 superconformal field theories. In the talk, we will give examples of associated varieties of simple affine vertex algebras for admissible and also non-admissible levels.
报告题目: Algebras of polynomial vector field on algebraic varie…
报 告 人: Vyacheslav Futorny
时 间: 2023年9月22日(周五)9:00-10:00
地 点: 6号楼323报告厅
简 介: Derivations of algebras of functions on affine algebraic varieties provide examples of infinite dimensional simple Lie algebras, such as Witt algebras (or Virasoro algebras) among many others. We will discuss the state of the art of the representation theory of these algebras.
报告题目: On Thurston's "geometric ideal triangulation" conjectu…
报 告 人: 葛化彬
时 间: 2023年9月21日(周四)上午8:30-9:30
地 点: 6号楼2楼报告厅
简 介: Gluing ideal tetrahedra plays a crucial role in the construction of hyperbolic 3-manifolds. On the contrary, it is still not known that whether a hyperbolic 3-manifold admits a geometric ideal triangulation. One of the greatest achievment in three dimensional topology is the famous Hyperbolic Dehn filling Theorem. It was proved by Thurston at the end of the 1970s under the assumption that all cusped hyperbolic 3-manifolds admits a geometric triangulation. In this talk, We will show our program to hyperbolize and further obtain geometric triangulations of 3-manifolds. To be precise, we will show the connections between 3D-combinatorial Ricci flows and Thurston's geometric triangulations, that is, for a particular triangulation, the flow converges if and only if the triangulation is geometric. We will also give some topological conditions to guarantee the convergence of the combinatorial Ricci flows and furthermore the existence of geometric ideal triangulations. As far as we know, th...