May 9, 2018
10:20AM - 11:30AM
Cockins Hall 240
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2018-05-09 10:20:00
2018-05-09 11:30:00
Noncommutative Geometry Seminar - Caterina Consani
Title: Homological algebra in characteristic one
Speaker: Caterina Consani (Johns Hopkins University)
Abstract: The talk overviews some recent developments (in collaboration with A. Connes) of a general theory of homological algebra for (sheaves of) idempotent modules in the topos of sets with an involution. The described prototype is the category of modules over the smallest Boolean semifield: this category is understood as the replacement, in characteristic one (i.e. for tropical algebraic structures), of the category of abelian groups.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2018-05-09 10:20:00
2018-05-09 11:30:00
Noncommutative Geometry Seminar - Caterina Consani
Title: Homological algebra in characteristic one
Speaker: Caterina Consani (Johns Hopkins University)
Abstract: The talk overviews some recent developments (in collaboration with A. Connes) of a general theory of homological algebra for (sheaves of) idempotent modules in the topos of sets with an involution. The described prototype is the category of modules over the smallest Boolean semifield: this category is understood as the replacement, in characteristic one (i.e. for tropical algebraic structures), of the category of abelian groups.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Homological algebra in characteristic one
Speaker: Caterina Consani (Johns Hopkins University)
Abstract: The talk overviews some recent developments (in collaboration with A. Connes) of a general theory of homological algebra for (sheaves of) idempotent modules in the topos of sets with an involution. The described prototype is the category of modules over the smallest Boolean semifield: this category is understood as the replacement, in characteristic one (i.e. for tropical algebraic structures), of the category of abelian groups.
