May 17, 2022
4:00PM - 5:00PM
MW 154
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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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
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
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).