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Not Pfaffian

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Not Pfaffian

This talk describes the connection between /strong minimality/ of the differential equation satisfied by an complex analytic function and the real and imaginary parts of the function being /Pfaffian/. The talk will not assume the audience knows these notions previously, and will attempt to motivate why each of them are important notions in various areas. The connection we give, combined with a theorem of Freitag and Scanlon (2017) provides the answer to a question of Binyamini and Novikov (2017). We also answer a question of Bianconi (2016). We give what seem to be the first examples of functions which are definable in o-minimal expansions of the reals and are differentially algebraic, but not Pfaffian.

- Séminaire Géométrie et théorie des modèles

Détails :

Orateur / Oratrice : James Freitag (UI Chicago)
Date : 18 février 2022
Horaire : 15h45 - 17h15
Lieu : Zoom