Dynamics Seminar “A midsummer dynamic’s daydream”

Centro De Giorgi, Pisa, 28 June 2022

The event will take place in person. Those who are unable to be physically present may attend the talk via Zoom by following the link: https://us02web.zoom.us/j/83965821067?pwd=YU9MRHVVMlRQMXZycjVzVGR3VmlXZz09

9:15-10:15

Dong Han Kim (Dongguk University - Seoul)

“Intrinsic Diophantine approximation on circles and spheres”

Abstract: We study Lagrange spectra arising from intrinsic Diophantine approximation of copies of a circle and a sphere. More precisely, we consider three copies of a unit circle embedded in R^2 or R^3 and three copies of a unit sphere embedded in R^3 or R^4. We present a unified framework to connect the Lagrange spectra of these six spaces with the spectra of R and C. Combining this with prior work of Asmus L. Schmidt on the spectra of R and C, we can characterize, for each of the six spectra, the smallest accumulation point and the initial discrete part leading up to it completely. This is joint work with Byungchul Cha.

A postdoctoral position in ergodic theory and dynamical systems is offered at Loughborough University, UK. The position is available from 15 September 2022 for a bit over 2 years.

Salary will be between £31,406 - £40,322 per annum, depending on experience. The application deadline is 30 June 2022. To apply, please follow this link: www.jobs.ac.uk/job/CQP884/research-associate-in-smooth-ergodic-theory.

The Department of Mathematics of the Vrije Universiteit Amsterdam is welcoming applications for two assistant professors (both tenure track):

one in applied mathematics workingat.vu.nl/ad/assistant-professor-in-applied-mathematics
and one in pure mathematics workingat.vu.nl/ad/assistant-professor-in-pure-mathematics

The deadline for applications is on June 19.

The Women in Math Committee (WiM) of the European Mathematical Society is organising an event called “EMS/WiM Day” within the initiative of “May 12th”, a celebration of women in Mathematics in memory of Maryam Mirzakhani.

The event consists of scientific talks (at the level of a Colloquium talk) of two distinguished speakers, which will take place online on Friday, 20 May 2022 with the following schedule:

14:45 CEST Welcome
15:00 CEST Tara Brendle (Glasgow University, UK)
16:00 CEST Tere M. Seara (UPC, Barcelona, Spain)

The titles and abstracts of the talks are given below.

As part of the Marie Curie Initial Training Network, STARDUST-R, the Department of Mathematics of the University of Rome Tor Vergata offers the following postdoctoral position:

Topic: “Dynamics of space debris within different orbital elements regions”, which involves celestial mechanics, perturbation theory, chaosindicators, numerical integrations, machine learning.

Duration: 1 year

Eligibility conditions: Candidates must

have received their Master’s Degree no earlier than 4 years ago,
not hold a doctoral degree,
not have resided in Italy for more than 12 months in the last 3 years.

Start of the position: within June 2022.

A website for our workshop DinAmicI VII (June 6-9, 2022, at RISM) is now online at https://www.rism.it/events/dinamici-vii. Please join us and register for the workshop, and check the website from time to time as new information will appear.

Between April 11 and May 12, 2022, Francesco Cellarosi will deliver the PhD course “Randomness in Number Theory: dynamical and probabilistic methods”, at the Department of Mathematics of Università di Bologna and on-line via MS Teams.

Schedule

(All times are 4-6pm Italian time. Room name within the Math Building in parenthesis)

April 11 (Seminario VIII Piano)
April 13 (Aula VII Piano)
April 20 (Bombelli)
April 21 (Seminario VIII Piano)
April 26 (Seminario VIII Piano)
April 28 (Seminario VIII Piano)
May 3 (Seminario VIII Piano)
May 5 (Seminario VII Piano)
May 10 (Bombelli)
May 12 (Seminario VIII Piano)

Program

The course will focus on recent advances concerning the study of random behaviour of number-theoretical sequences. We will mainly focus on the distribution of square-free integers and their generalisations (e.g. k-free, B-free). We will discuss Sarnak’s conjecture on the disjointness of the Mobius function $\mu(n)$ from sequences generated by zero-entropy dynamical systems. We will prove that $\mu^2(n)$ (the indicator of square-free integers) is completely deterministic and study the statistics of its patterns in long intervals. We will also discuss some very recent progress on the distribution of square-free integers in small intervals.

As you may have noticed, our website has gone through a restyling. We owe this beautiful new site to our wonderful Marcello Seri. In the process, we moved to a much simpler deployment strategy, which should make our website much much faster than before, and safer and easier to maintain for us. The price to pay for this is that you will need to contact us to submit new posts, unless you want to get your hands dirty.

The University of Antwerp (Belgium) announces the opening of 3 PhD positions:

PhD scholarship in symplectic geometry and integrable Hamiltonian systems (advisor: Prof. Sonja Hohloch, application deadline April 11, 2022): https://www.uantwerpen.be/en/jobs/vacancies/academic-staff/?q=2101
PhD scholarship in dynamical systems and mechanics (advisor: Prof. Sonja Hohloch, application deadline April 11, 2022): https://www.uantwerpen.be/en/jobs/vacancies/academic-staff/?q=2100
PhD scholarship in Pure Mathematics (application deadline May 16, 2022): https://www.uantwerpen.be/en/jobs/vacancies/academic-staff/?q=2093 (applicants interested in differential geometry or geometric mechanics should contact beforehand Tom Mestdag, see job advertisement for more details)

The Vienna School of Mathematics announces up to four PhD positions financed by the University of Vienna.

Application is only possible for the specific projects listed below. Each candidate is allowed to apply for at most three of the projects.

Responsibilities of the successful candidate include participation in the research activities, independent teaching of courses and conducting examinations, as well as participation in teaching evaluations and in administrative tasks.

More information and link to application portal: https://www.vsmath.at//media/vsm_positions_mar22.html

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