Scheme theory over semirings

The algebra-topology seminar covers topics in Algebra and Topology

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Date/time
14 Feb 2023 | 3 - 4pm
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Speakers

James Borger, MSI
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Description

Abstract:

I’ll sketch a program for generalizing scheme theory from rings to semirings. For example, projective schemes over the non-negative reals, natural numbers, Boolean numbers, and tropical numbers. I’ll spend some time focused on extensions of the concept of vector bundle and line bundle to this setting. It turns out that some definitions, such as projective module and locally free sheaf quasi-coherent sheaf, which agree over rings diverge over general semirings. However for line bundles all classical definitions agree.

 

Location

Seminar Room 1.33

Hanna Neumann Building 145

Science Road

Acton ACT 2601

-35.275387198178, 149.11925554276

Upcoming events in this series

Algebra and Topology
2 Apr 2024 | 3 - 4pm

The algebra-topology seminar covers topics in Algebra and Topology

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