Waterloo-McMaster Joint Logic Seminar

Fateme Peimany, University of Waterloo

Definable Groups in Differentially Closed CCM-structures (DCCM)

How do definable groups behave when a compact complex manifold is equipped with a generic derivation? Inthis talk, I will discuss an ongoing project to understand definable groups within the theory of DifferentiallyClosed CCM-structures (DCCM). The presentation centers on a foundational model-theoretic analogy: just asadding a derivation to algebraic geometry bridges ACF and DCF, a parallel expansion maps CCM to DCCM inthe analytic setting. By reviewing established results for definable groups in ACF, DCF, and CCM, we willexplore how these classifications translate into the differential-analytic framework of DCCM.

MC 5417