03:30 PM
November 05, 2025
Event
In Affine Algebraic Geometry, researchers are mainly interested in the study of certain affine varieties, especially the affine spaces, equivalently, the polynomial rings. There are many fascinating and fundamental problems on polynomial rings which can be formulated in an elementary mathematical language but whose solutions remain elusive. Any significant progress requires development of new and powerful methods and their ingenious applications. The most celebrated problems on polynomial rings include the Jacobian Problem (first asked by Ott-Heinrich Keller in 1939), the Zariski Cancellation Problem, the Epimorphism or Embedding Problem of Abhyankar-Sathaye, the Affine Fibration Problem of Dolgacev-Veısfeıler, the Linearization Problem of Kambayashi, the Problem of Affine Forms, the problem of characterization of polynomial rings by a few chosen properties, and the study of the automorphism groups of polynomial rings.
In this talk Prof. Neena Gupta will discuss the partial progress made on some of these problems.
Speaker
Neena Gupta
Professor, Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata
Co-host
