Northwestern Algebraic Geometry Seminar, AY 2023--2024

Organizers: Jihao Liu, Yuchen Liu, Ananth Shankar

The Northwestern Algebraic Geometry Seminar meets on Wednesdays from 3pm to 4pm Central Time. The in-person activities are held in Tech F281 (Fall).


  • Wed Oct. 4, Lu Qi (Princeton): The metric geometry of space of filtrations on local rings and local volumes of klt singularities

    Abstract: Introduced by Chi Li, the local volume of a klt singularity plays an important role in the study of K-stability of Fano varieties, their moduli spaces and boundedness of singularities. The notion is closely related to graded sequences of ideals, or filtrations, on the singularity by the work of Yuchen Liu. In this talk I will introduce a metric on the space of filtrations on a general local ring and discuss some basic properties. On a klt singulatiry, the geometry of spaces of filtrations under this metric is related to the stable degeneration theorem, which is the fundamental problem of local volumes. Such relations depict a picture similar to the question of existence and uniqueness of Kähler-Einstein metrics on a Fano variety. This talk is based on joint work of Harold Blum and Yuchen Liu and some ongoing work.

  • Mon Oct. 9, 4--6pm, Lunt 105 (Special events), NU-UIC Complex Geometry Seminar, Bin Guo (Rutgers) and Ruobing Zhang (Princeton)
  • Thu Oct. 19, 2pm, Lunt 103 (Special time/location), Shiji Lyu (UIC): TBA

    Abstract: TBA

  • Oct. 20 -- 22 (Special events), FRG workshop on Brauer groups and derived categories
  • Mon Oct. 23, 5pm, Lunt 104 (Special time/location), Abhishek Oswal (Michigan State): TBA

    Abstract: TBA

  • Wed Nov. 1, Ziquan Yang (Wisconsin): TBA

    Abstract: TBA

  • Wed Nov. 8, Yunfeng Jiang (Kansas): TBA

    Abstract: TBA

  • Wed Nov. 15, Roya Beheshti (WUSTL): TBA

    Abstract: TBA

  • Archive

    2021-2022, 2022-2023