Phd Talk series: Talk by Mr. Amit Phogat, IIT Gandhinagar on 09/4/2025

Speaker: Amit Phogat, PhD student, IIT Gandhinagar

Date: 09/04/2025
Time: 4 pm
Venue: PSB 1104

Abstract- Hilbert's Nullstellensatz is one of the celebrated theorems in algebra and geometry. The usefulness of this theorem spans many areas of Mathematics. The aim of this talk is to explain the theory and proof of this amazing theorem. Although there are many proofs in the literature, the one we will follow will be based on a beautiful exposition of R. Swan, which is inspired from Munshi's proof.
If time permits we will also state some surprising applications of the theorem. (Basic knowledge of Localization of rings, and integral extension shall be assumed.)