Abstract: Two events in a spacetime are called causally related if the information can get from one event point to the other.
In the joint works with Stefan Nemirovski we established that Legendrian linking of the spheres of light rays passing through the two points completely determines causality for spacetimes of dimensions greater or equal than 4. For the spaces times of dimension 3 causal structure is completely determined by topological linking.
These results settle the conjectures of Robert Low and of Jose Natario and Paul Todd. They also give an answer to the problem on the Vladimir Arnold problem list communicated by Roger Penrose.
We will discuss these results and some ideas about how to apply the link theory to the study of black holes.
If time permits we will explain why exotic smooth structures are likely not useful in general relativity, since the natural physical assumption impose strong censorship (similar in spirit to the one of Penrose's cosmic censorship conjecture) on the class of possible smooth structures on a spacetime. The resulting smooth  structure is unique and natural.
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Date: June 24, 2021 (Thursday),  17:00 (Kyiv time)
Zoom link: https://us02web.zoom.us/j/87873510591?pwd=NzRINjM4cjVtRGIzRkJsL2JDWkp1UT09
Пароль: 123456

У першій частині доповіді йдеться про традиційні підходи до аналізу і прогнозування часових рядів, а в другій частині — про особливості використання інструментарію фрактального аналізу для вказаних задач.

The first part of the talk is devoted to the review of traditional approaches to time-series analysis and forecasting. In the second part we discuss fractal analysis tools for these tasks.

Доповідь складається з двох частин. Перша частина присвячена історії вивчення множин неповних сум рядів та відкритим питанням з цієї тематики. У другій частині вивчаються канторвали, що породжені одним зліченним класом рядів з мультиузагальнених чисел Фібоначчі.

The talk consists of two parts. The first part is devoted to the history of study of the sets of subsums for series and open problems on this topic. In the second part we study Cantorvals generated by one countable class of series of multigeneralized Fibonacci numbers.

Department of the Theory of Stochastic Processes of the Institute of Mathematics of Ukrainian National Academy of Sciences organizes an  extended session of the seminar “Malliavin calculus and its applications” for young mathematicians. During this session master students from different countries can represent their investigations making 30 minutes on-line talks. This is the fourth such mini-conference continuing Department tradition to attract young people to the problems of modern theory of stochastic processes.