On the optimality of effective
stability bounds for invariant tori
of Hamiltonian Systems

Dear all,
we are happy to invite you to the next session for the SIJIMat (Seminari Interdisciplinari per a Joves Investigadors en Matemàtiques):
On the optimality of effective
stability bounds for invariant tori
of Hamiltonian Systems

? Gerard Farré Puiggalí (UPC)
? 05/10/2023
? 12h
?Aula Petita CRM
? After the seminar, pizza will be offered to participants

Join via ZOOM
https://zoom.us/j/92785030419?pwd=YlRyZnJFS1RENlNlK3p4RzJrSkpaQT09#success

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ABSTRACT

In this talk, I will introduce the concept of effective stability for invariant objects that naturally arise in Hamiltonian Systems, such as invariant tori. We will observe that under specific conditions, invariant tori exhibit a form of “stickiness,” or equivalently, it can be proved that it takes a considerable amount of time for solutions with initial conditions close to these objects to diverge from them. I will then elaborate on how to construct examples to show the optimality of these results.

SPEAKER

Cristina Crespo

Gerard Farré Puiggalí
UPC

I did my PhD at the Royal Institute of Technology (KTH) under the supervision of Maria Saprykina, in the field of Dynamical systems and instability of invariant objects in Hamiltonian dynamics and ergodic theory. Before my PhD, I studied the master's program “Advanced mathematics and mathematical engineering” at UPC and a bachelor’s degree in Mathematics at the University of Barcelona.
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