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 to 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 to 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 to 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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