Carlangelo highlights IMPA's importance in Dynamical Systems.

Carlangelo Liverani (Rome Tor Vergata)

On the third day of the International Conference on Dynamical Systems, Carlangelo Liverani, a researcher at the University of Rome Tor Vergata, made a point of highlighting the prestige of IMPA and the importance of the institute's research staff for the various research projects carried out.

"IMPA has very strong researchers and is one of the best places in the world for dynamical systems and probability," the professor assessed.

In a lecture held on Wednesday morning (26), Liverani presented a problem that is over 2,500 years old and has not yet been solved, and is currently the basis of his research. From the perspective of mathematics and physics, the professor tries to understand how the expansion of atoms occurs and how this process gives rise to the macroscopic world.

“You take a bite out of a piece of anything and you want to know how that bite moves, how it propagates. So, you can look at it at the microscopic level, seeing various atoms consuming each other, and that's more or less what I do, understand how this microscopic behavior gives rise to the world. It's something very ancient,” Carlangelo explained.

The researcher's interest lies in topics involving dynamical systems, probability, and physics. "I like the fact that it's interdisciplinary, with many ideas coming together and relating to other physical concepts as well."

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On Wednesday (26), the event also featured a lecture by Mikhail Lyubich, from Stony Brook University, who spoke about the structures of Feigenbaum Henon's maps.

To close the day, Lorenzo Díaz, a researcher at PUC-Rio, and Artur Avila, the only Latin American to be awarded the Fields Medal, the highest honor in mathematics, spoke about the developments of research carried out based on work conducted by the director-general of IMPA, Marcelo Viana.

“Marcelo has always been a great partner; his work has had a huge impact on my life, as has the way he works. I was very lucky; I wrote a book and articles with him. We grew up together,” said the researcher.

Avila took advantage of the presentation on Lyapunov's exponents to emphasize how much Marcelo was able to contribute with various works.

"I thank Marcelo for all the terms and inspiration," concluded the Brazilian researcher.

At the end of the lecture, Edmilson Roque, a doctoral student at USP/São Carlos, assessed the event as motivating: “It’s very inspiring to see subjects that at first seem disconnected and then, with new contributions and maturity, realize the relationship between them. Having this understanding has a very positive impact on my life. I leave motivated.”

The International Conference on Dynamical Systems is a traditional event promoted by IMPA. This year, the lectures celebrated Viana's birthday. At the end of the conferences, the Director-General of IMPA was surprised with a "Happy Birthday" greeting.

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