Description
Time: 9.00 am - 10.15 am.
Speaker: R.V. Gurjar.
Title: Linquan Ma’s generalisations of Lech’s Conjecture
Abstract: The following two results will be considered. Let (A,M) ⊂ (R,N) be a local flat homomorphism with A a regular local ring such that A contains its residue field. Let I be an ideal in A. Then eR/IR ≥ eR, where e denotes the multiplicity. Ma has stated four conjectures related to Lech’s Conjecture. We will discuss the relationships between these conjectures. If time permits, I will indicate how we can understand C.P. Ramanujam’s geometric interpretation of multiplicity in a more intuitive manner.