Seminar for Dynamical Systems
Tuesday
16h, room 104, Dept of Mathematics (unless stated otherwise 😊
)
UPCOMING!!!
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15/12/2026, Melih Emin Can, FER (TBA)
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08/12/2026, Melih Emin Can, FER (TBA)
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10/11/2026, Dino Peran, University of Split, Ball Spaces and Kuhlmanns' Fixed Point Theory
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05/11/2026,
12h, 104, Kambiz Moghaddamfar,
FER, Rigidity and Classification of Partially Hyperbolic Dynamics in Dimension Three
Abstract: In this second lecture, we move from
compact surfaces to three-dimensional manifolds. We begin with
a brief overview of the classification
of partially hyperbolic diffeomorphisms, focusing on Pujals’ conjecture and some of its refinements.
We then explore how additional geometric rigidity yields stronger classi[1]fication
results. Our approach uses the
vector fields spanning the invariant directions,
their Lie brackets, and the
flows they generate.
We apply this approach to partially hyperbolic diffeomorphisms on compact three-manifolds whose derivatives have constant coefficients in a sufficiently regular adapted frame, a condition stronger than constant
Lyapunov exponents.
Previous
26/27:
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28/10/2026,
16.15, A318 Jesus Alberto Palma Marquez, UNAM, Newton
Polygons, Holonomy, and Integrability of Holomorphic Foliations
Abstract: In this
talk, we discuss the existence of
holomorphic first integrals for germs of singular holomorphic foliations in the
complex plane, from the viewpoint of Newton polygons and toric
resolutions.
Under suitable nondegeneracy and convenience assumptions, we investigate holomorphic integrability through the holonomy
of a distinguished component of the
exceptional divisor. Focusing on Newton polygons with a single compact edge, we obtain
an integrability criterion under appropriate conditions on the singularities of the resolved
foliation.
Finally, following
the classical Newton-theoretic approach to plane curves, we explore
how the geometry of Newton polygons provides information about the local
topology of holomorphic first integrals.
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20/10/2026, Kambiz Moghaddamfar, FER, An Introduction to Autonomous Dynamics and Its Classification on Compact Surfaces
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08/09/2026,
Luka Kraljević, PMF-MO, Toward analytic classification of a class of
tangent to the identity diffeomorphisms in complex dimension 2