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Junior Geometry
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George Torres, : Tropical Cycles and Rational Equivalence
Tuesday, April 27, 2021, 03:45pm - 04:45pm
Algebraic cycles on a variety tell us a lot about the structure and behavior of that variety. They give rise to many important invariants such as Chow groups, Picard groups, and cohomology. As usual, there is a tropical analogue to algebraic cycles in tropical geometry, which are called tropical cycles. Unlike in the classical world, tropical cycles are less understood. This talk will discuss work by Allermann and Rau who laid the groundwork for tropical cycles as well as outline their proof that the bounded tropical Chow group of $\mathbb{R}^n$ is the group of fan cycles.

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