# Seminars & Colloquia Calendar

Geometry, Symmetry and Physics Seminar

## p-adic analytic actions on Fukaya categories and iterations of symplectomorphisms

#### Y. Baris Kartal (Princeton)

Date & time: Thursday, 11 June 2020 at 2:00PM - 3:00PM

Inspired by the work of Bell on dynamical Mordell-Lang
conjecture and by family Floer homology, we construct p-adic analytic
actions on the Fukaya category of a non-degenerate, monotone
symplectic manifold satisfying some assumptions. Using this, we deduce
results on the change of rank of Lagrangian Floer homology groups
$$HF(\phi^k(L),L')$$ as $$k$$ varies, for a symplectomorphism $$\phi$$
isotopic to identity.

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