Symposium in Mathematics

A Symposium in Mathematics is being organised on the occasion of Birthday of Founder Director Professor Shreeram S. Abhyankar (1930-2012)

on Sunday, the 22nd July 2018,

at Bhaskaracharya Pratishthana, Pune.

Speakers and Topics:

Time Speaker Title and abstract
2.30 pm
3.30 pm
Prof. J. K. Verma
IIT Bombay
Title: Abhyankar's work on rings of maximal embedding dimension and later developments
Abstract: In his 1967 paper, Abhyankar proved that the embedding dimension of a Cohen-Macaulay local ring is bounded above by d+e-1 where d is the Krull dimension and e is the multiplicity of R. If equality holds then we say that R has maximal embedding dimension.  
We shall discuss theorems of Lipman and Rees which assert that rational and pseudo-rational local rings of dimension 2 have maximal embedding dimension. We will prove a Theorem of Huneke and Sally: The Rees algebra of a complete ideal of a two-dimensional regular local ring has maximal embedding dimension.
3.40 pm
4.40 pm
Prof. Dilip Patil
IISc, Bangalore
Title:Borsuk-Ulam Theorem and Hilbert’s Nullstellensatz — and vice versa

Abstract: Click here to download the pdf
5.00 pm
6.00 pm
Prof. Kaushal Verma
IISc, Bangalore
Title: Introduction to quadrature domains
Abstract: Domains on which integrable holomorphic functions satisfy a generalized mean value inequality are called quadrature domains. This will be an elementary introduction to this class of domains.


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