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Algebra Seminar

Tropical scheme theory

Diane Mclagan (U.Warwick)

Location:  Hill 525
Date & time: Wednesday, 11 December 2019 at 2:00PM - 3:00PM

Abstract:  Tropical geometry can be viewed as algebraic geometry over the tropical semiring (R union infinity, with operations min and +). This perspective has proved surprisingly effective over the last decade, but has so far has mostly been restricted to the study of varieties and cycles. I will discuss a program to construct a scheme theory for tropical geometry. This builds on schemes over semirings, but also introduces concepts from matroid theory.

This is joint work with Felipe Rincon, involving also work of Jeff and Noah Giansiracusa and others.

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