Филькина премия ('Filkina' Medal Award),
30 ноября 2025 года
16:30 Корпус поточных аудиторий НГУ, 1 этаж

В студенчестве все проходили через экзамены и стрессы, связанные с ними. Но всё ли на экзаменах решают знания? Промоделируем и посмотрим.

Где обитает мысль, пока вы её не подумали? Почему ключи всегда отыскиваются в последнем кармане? И кто подсказывает ответ, когда вы уже отчаялись? Опытным путём и методом коррекции априорных вероятностей мы докажем, что ваши лучшие идеи — совсем не ваши.

Принятие доказательства (даже математического!) — социальный акт. Иногда для студентов стимулом принять то или иное доказательство является угроза провала на экзамене, последующее лишение стипендии и (о ужас!) отчисление из университета. Уже потом (после успешной сдачи экзамена и получения повышенной стипендии или даже после успешного окончания университета) некоторых из так «принявших» то или иное «доказательство» начинают мучать кошмары сомнения в корректности и/или полноте «доказательств». В докладе мы обсудим корректность и полноту общепринятых доказательств первого замечательного предела и теоремы Кантора о несчетности множества вещественных чисел.

Наверняка все играли в “города”. Возможно, кто-то даже побеждал учительницу географии(я нет). В этом докладе проводится анализ различных стратегий игры в “города”, оптимальная стратегия, выводы на множествах слов, состоящих не только из городов и не только на русском языке.

Победа в битве за место в транспорте — это вопрос стратегии. Из доклада вы узнаете, как парадокс выбора двери и равновесие Нэша помогут вам обойти конкурентов, почему «идеальное» кресло — главная ловушка и как за секунду оценить обстановку в салоне, чтобы принять единственно верное решение.

В центре внимания доклада — исторический переход от натурального строя к равномерной темперации как ключевой момент «математизации» музыки. Далее рассматривается современный этап этого процесса: 43-тоновая гамма Гарри Патча и масштабный звуковой проект Ла Монте Янга «Хорошо настроенное пианино», демонстрирующие, как математические модели продолжают расширять границы музыкального выражения.

Мы привыкли к тому, что приложения математики в социологии ограничиваются теорией игр и математической статистикой. Но что если изучить социальные группы с помощью алгебраических методов? В докладе будут исследованы некоторые (квази)группы людей.

Бытовое применение решения задачи лаборатории Лос-Аламоса о полной инверсии волнового поля + как я обхитрил дата-саентистов из Google в соревновании на $50.000.

If you have long hair, you've probably braided it into a braid. As it turns out, there are many different ways to braid braids on your head, and some of them are so complicated that they are almost impossible to repeat. In the talk, we will discuss how math can help with the tricky business of braiding braids on your head.

What do you imagine when you hear "Garbage Collection"? Something related to the ecology? Garbage truck that lifts container near your house in the morning?

Well, this is definitely not our case: we will discuss automatic memory management in managed programming languages, finding the dead objects on the heap and how all these relates to algorithms on graphs.

Words have been selected from an infinite lexicon in a similar fashion to infinite
urn scheme models. Based on the number of different words in the forward
and backward directions, two elementary probability models, one for text homogeneity
and the other for text change point detection, were developed.
The Pauline letters of the English Bible were found to be heterogeneous concatenations of two segments using the two recently developed models.

Mathematician and paleontologist walk into a bar... to write an article! Using brilliant mathematical techniques and excellent paleontological knowledge they received unexpected but definitely true results. One can believe it without any doubt because the results are made with the most strict science — Mathematics.

Modern engineering involves consideration of the social aspects of the designed solutions. How often have you seen a construction machines engineer with a well-developed skill in empathy? Let's explore how AI can help.

A tale of how me and my friends utilized high-load GPU clusters and large (really large) language models to sift through data on energy drinks, aiming to find THE BEST one based on ingredients, effects, and feedback.

This presentation explores the application of probability theory and calculus to optimize agricultural yields, focusing on crops like wheat, carrots, and potatoes. By examining block-based environments, we investigate how timer-driven mechanisms can enhance growth efficiency. Using mathematical models, we compute the optimal parameter and resource management to maximize output and profitability, providing insights with potential applications in innovative agricultural systems.

Father Christmas faces significant challenges in delivering gifts on New Year's Eve due to heavy air traffic during this bustling time of year. To help him with his workload, we suggest that Father Christmas and his team of elves consider using civil aviation to help with the timely delivery of gifts.

Since ancient times, mathematicians have been looking for a universal way to avoid justice. It seemed for a while that the paradox of Achilles and the tortoise would provide such an opportunity. But our continuous reality requires new, more sophisticated solutions.

Given a graph, is it possible to colour it with a certain number of colours so that adjacent vertices do not receive the same colour? The graph colourability problem has many applications in daily life. Maybe one further application has been overlooked so far.

Recent studies have shown that cats can perform arithmetic operations if they choose to do so. We generalize this result and prove that cats can perform any task available to a modern PC.

While doing my research on computational geometry, I have met the same bunny many-many times in various papers. By the time I got the main result, I has been so tired of this bunny that I decided to put it into the algorithm and see if its ears would be torn off...

Magic does exist, and even can be written by mathematics. Between poetry and philosophy, welcome to the topic which will open new dimensions.

Many people use Lock Patterns to secure their devices. In this talk we will discuss if the most complicated pattern exists and find all of them.

We will discuss how to predict the future, to write several books, to become rich and even be invited to the Oprah Winfrey Show.

Many of us have heard the idea of a fractal related to objects in everyday life, such as some vegetables. In this talk we will see what concepts of metric geometry help us to understand the structure that makes these examples so attractive.

For most of us, gossiping is a very frequently performed activity through which we delve into the underworld of interesting things not many would dare say in public. But do we do so in an optimal way?
We will try to bring rigour into gossiping by discussing potential problems a gossiper may encounter and review some ways to solve them.

The main goal of the talk is presenting the most useful application of probability theory. We research an important modern problem, that is the drunk NSU student problem.

Between 25% and 40% of the world's population are introverts. Introverts feel uncomfortable in the company of people, but they can't survive on their own. What can we do?

Have you ever heard about the influence of preferences in alcohol and croaking on grade point average? During the report it will be discussed and not only that.