000			02126 a2200241 4500
003			OSt
005			20230719125414.0
008			230517b |||||||| |||| 00| 0 eng d
020			_a9788190254540
040			_aICTS-TIFR
050			_aQA251.3
100			_aGurjar, R. V.
245			_aCommutative algebra and combinatorics : part 1 and 2 proceedings of international conference organised by Bhaskaracharya Pratishthana, Pune and Harish-Chandra Research Institute, Allahabad 8-12, 2003
260			_bRamanujan Mathematical Society _c2007 _aMysore
300			_a180 p.
490			_a Ramanujan Mathematical Society lecture notes series _v4
520			_aThe current volume makes available a record of the expository and survey talks and a computational workshop in the International conference on Commutative Algebra and Combinatorics, organised by the Bhaskaracharya Pratishthana, Pune, and the Harish-Chandra Research Institute, in Allahabad just before the joint India-AMS Mathematics meeting in Bangalore, in December 2003. The 5 survey articles and the extended tutorial using Macaulay 2 and other software packages cover a remarkable range of current computational commutative algebra and algebraic geometry. The central objects of study could be described with only the slightest oversimplification as ideals of monomials (Stanley-Reisner Theory) and rings generated by monomials (Toric Geometry). There is a clear description of the basic problems and constructions of current interest, as well as some of the major applications of this theory, from the enumeration of "magic squares" to algebraic statistics. Throughout there are plenty of open problems to orient newcomers to the area to the exciting work that is- and will be!- going on. I think that these expositions and surveys will be useful to any student (and lots of mature mathematicians) interested in aspects of these fields. Summary by David Eisenbud
700			_aKatre, S.A.
700			_aRao Ravi, A.
700			_aVerma, J.K.
856			_uhttps://www.ramanujanmathsociety.org/lns/files/Contents%20Vol-4.pdf _yContents
942			_2lcc _cBK
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