Neena Gupta | Full Lecture | SYMMETRY'25 | Department of Mathematics, Presidency University скачать в хорошем качестве

Neena Gupta | Full Lecture | SYMMETRY'25 | Department of Mathematics, Presidency University

Lecture by Prof. Neena Gupta – Professor, Theoretical Statistics & Mathematics Unit, Indian Statistical Institute, Kolkata — delivered at the Department of Mathematics, Presidency University (Kolkata). In this full‐length lecture, Prof. Gupta addresses one of the most profound questions in algebraic geometry and commutative algebra—the Zariski Cancellation Problem and the Abhyankar‑Sathaye Conjecture for linear hyperplanes. Drawing on her pioneering research, the talk explores: The origin and formulation of the Zariski Cancellation Problem — why adding a dimension can change the structure of an affine space. The Abhyankar-Sathaye Conjecture in the context of linear hyperplanes: its history, major results, and open questions. Prof. Gupta’s own contributions: new families of linear hyperplanes, counter-examples in positive characteristic, and the implications for affine geometry. Connections to other problems in affine algebraic geometry, including affine fibrations, automorphisms of polynomial rings, and finitely generated sub-algebras of polynomial algebras. A view of how modern algebraic geometry is evolving and how young researchers can approach deep structural problems in mathematics. Why this lecture matters: Prof. Gupta’s work has redefined what we understand about affine spaces and cancellations, and her results have earned national and international recognition, including the Shanti Swarup Bhatnagar Prize and the Infosys Prize for Mathematical Sciences. Her lecture offers both a master-class for advanced students and an inspirational narrative for anyone curious about the interface of pure mathematics and creative thinking. Who should watch this lecture: Undergraduate and postgraduate students in mathematics, especially those interested in algebraic geometry, commutative algebra and polynomial ring theory. Researchers and faculty in mathematics looking for deep structural insights and modern perspectives on old problems. Anyone with a passion for mathematics who wants to see how a problem, simple to state, can open major pathways in research. Lecture details: Delivered on: [insert date] Venue: Department of Mathematics, Presidency University, Kolkata Duration: [insert duration] Stay connected: Subscribe to the Department of Mathematics, Presidency University channel for more lectures, workshops and special guest talks. 🔖 Hashtags / Keywords for search: #NeenaGupta #ZariskiCancellation #AbhyankarSathayeConjecture #AffineAlgebraicGeometry #CommutativeAlgebra #MathematicsLecture #PresidencyUniversity #IndianStatisticalInstitute #MathematicsSeminar #HigherMathematics We thank Prof. Neena Gupta for her time and insight, the faculty and staff of the Department of Mathematics for organizing this talk, and Presidency University for supporting advanced research-oriented lectures.