The generic ring and structure theorems for free resolutions of length 3

Image
May 17, 2022
4:00PM - 5:00PM
Location
MW 154

Date Range
Add to Calendar 2022-05-17 16:00:00 2022-05-17 17:00:00 The generic ring and structure theorems for free resolutions of length 3 Speaker:  Lorenzo Guerrieri (Jagiellonian University)   Title: The generic ring and structure theorems for free resolutions of length 3   Abstract:  A classical problem in commutative algebra is the classification of the ideals of a ring according to their minimal free resolution.  After briefly recalling the most important known results, we describe how the generic ring associated to a given format of free resolution of length 3 offers new tools to attack this problem.  For ideals with sufficiently small Betti numbers, we discuss the existence of a second complex, canonically associated to the minimal free resolution, mentioning some possible applications in algebra and geometry.  (Joint work with Jerzy Weyman). MW 154 Department of Mathematics math@osu.edu America/New_York public
Description
Speaker:  Lorenzo Guerrieri (Jagiellonian University)
 
Title: The generic ring and structure theorems for free resolutions of length 3
 
Abstract:  A classical problem in commutative algebra is the classification of the ideals of a ring according to their minimal free resolution.  After briefly recalling the most important known results, we describe how the generic ring associated to a given format of free resolution of length 3 offers new tools to attack this problem.  For ideals with sufficiently small Betti numbers, we discuss the existence of a second complex, canonically associated to the minimal free resolution, mentioning some possible applications in algebra and geometry.  (Joint work with Jerzy Weyman).