Description
Time: 02.30 pm - 03.45 pm.
Speaker: Mitra Koley.
Title: Lech’s conjecture for 3-dimensional Gorenstein rings
Abstract for (3) and (4): Ma formulated a weakened generalised Lech’s conjecture and proved it for a class of rings known as numerically Roberts rings, in equal characteristic p > 0. Using these results, combined with results on Hilbert-Kunz multiplicities, he proved the Lech’s conjecture for 3-dimensional Gorenstein rings of equal characteristic p > 0. In the first part of the talk, we define numerically Roberts rings and prove a few results required for proving the main result, which will be proved in the second part of the talk.