March 16, 2018
5:00PM - 5:40PM
Cockins Hall 240
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2018-03-16 17:00:00
2018-03-16 17:40:00
Ring Theory Seminar - Louis Rowen
Title: Exterior Semi-Algebras
Speaker: Louis Rowen (Bar Ilan University, Ramat Gan, Israel)
Abstract: (Joint work with Letterio Gatto) In this talk, we review negation maps and "systems,'' and their application to linear algebra in a rather general framework that includes both tropical algebra and hyperfields. The usual definition of Grassmann (exterior) algebras generalizes directly to semi-algebras, and has a built-in negation function for elements of degree $\ge 2$, so the theory of systems can be applied directly to Gatto's theory, unifying results of linear algebra from different perspectives including the classical perspective.
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Rowen-Ring Theory Seminar-Exterior abstract.pdf73.57 KB
Cockins Hall 240
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Date Range
Add to Calendar
2018-03-16 17:00:00
2018-03-16 17:40:00
Ring Theory Seminar - Louis Rowen
Title: Exterior Semi-Algebras
Speaker: Louis Rowen (Bar Ilan University, Ramat Gan, Israel)
Abstract: (Joint work with Letterio Gatto) In this talk, we review negation maps and "systems,'' and their application to linear algebra in a rather general framework that includes both tropical algebra and hyperfields. The usual definition of Grassmann (exterior) algebras generalizes directly to semi-algebras, and has a built-in negation function for elements of degree $\ge 2$, so the theory of systems can be applied directly to Gatto's theory, unifying results of linear algebra from different perspectives including the classical perspective.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Exterior Semi-Algebras
Speaker: Louis Rowen (Bar Ilan University, Ramat Gan, Israel)
Abstract: (Joint work with Letterio Gatto) In this talk, we review negation maps and "systems,'' and their application to linear algebra in a rather general framework that includes both tropical algebra and hyperfields. The usual definition of Grassmann (exterior) algebras generalizes directly to semi-algebras, and has a built-in negation function for elements of degree $\ge 2$, so the theory of systems can be applied directly to Gatto's theory, unifying results of linear algebra from different perspectives including the classical perspective.
File
