Геометрія квадратичних форм / Geometry of quadratic forms

Анатолій Турбін (Національний педагогічний університет імені М. П. Драгоманова)

25-Jun-2020, 12:30-14:00 (4 years ago)

Abstract: Розглядаються опуклі оболонки розв'язків діофантових рівнянь $x_1^2 + x_2^2 + \ldots + x_n^2 = m$, $x_i \in \mathbb{Z}$, $n \geq 3$, які є регулярними опуклими многогранниками в $\mathbb{E}^n$.

Convex hulls of solutions of Diophantine equations $x_1^2 + x_2^2 + \ldots + x_n^2 = m$, $x_i \in \mathbb{Z}$, $n \geq 3$, which are regular convex polyhedra in $\mathbb{E}^n$, are considered.

Ukrainiangeometric topology

Audience: researchers in the discipline


Семінар з фрактального аналізу / Fractal analysis seminar

Series comments: Weekly research seminar on fractal analysis (online)

Topics:

  • theory of fractals (fractal geometry and fractal analysis)
  • Hausdorff–Besicovitch dimension, techniques and methods for its calculation and estimation
  • functions and transformations preserving fractal (Hausdorff–Besicovitch, entropic, box-counting, packing, etc.) dimension
  • sets of metric spaces that are essential for functions, sets, and dynamical systems
  • self-similar, self-affine properties of mathematical objects
  • systems of encoding for real numbers (numeral systems) and their applications
  • metric number theory and metric theory of representations of numbers
  • probabilistic number theory and probabilistic theory of representations of numbers
  • measures supported on fractals, particularly singular measures and probability distributions
  • nowhere monotonic and nowhere differentiable functions, functions with fractal properties
  • theory of groups determined by invariants of transformations preserving tails of representation of numbers, digit frequencies, etc.

The talks are mostly in Ukrainian but English is also acceptable

Organizers: Mykola Pratsiovytyi, Oleksandr Baranovskyi*
*contact for this listing

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