Fields of Poisson fields
Revisiting Fundamental Problems Workshop: Infinite-Dimensional Division Algebras - Algebraicity and Freeness December 01, 2025 - December 05, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Fields of Poisson fields
We will illustrate the richness of the realm of Poisson fields, i.e., fields with Poisson structures. Even the smallest fields that can support nonzero Poisson structures, namely rational function fields in two variables, carry enormously many non-isomorphic such structures. We will display a gamut of existence theorems, isomorphism criteria, automorphism groups, and embedding results. [This is joint work with James Zhang.]
Fields of Poisson fields
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