Надежда Хорошавкина выступила на семинаре факультета математики с докладом "Generalized inflations "
We will discuss a number of constructions that give connections between combinatorics and topology. For example, we will discuss why any poset is a topological space (Alexandrov topological space, to be precise) and vise versa; what is a diagram on a poset; I will introduce the notion of inflation of a diagram along a poset and formulate a theorem on the topological type of geometric realizations of inflations of some special kind; if time permits, I will give solution to the theorem.All these constructions allow to investigate topological properties of finite topological spaces. The talk does not require any special knowledge and can be understood by the first year students. At the same time, the discussed objects can be interesting for those who possess the concepts of the category theory and sheaves theory, since this is a more natural language for all discussed constructions
Алексей Басалаев - предзащита диссертации на соискание ученой степени доктора наук
Тема диссертации: Орбифолдные модели Ландау-Гинзбурга и зеркальная симметрия
Мауро Артижани выступил на семинаре Международной лаборатории кластерной геометрии с докладом "Symmetries of infinite translation surfaces"
A surface is of infinite topological type if its fundamental group is not finitely generated. In this talk, we will consider the following question: give an infinite type surface S and an abstract group G, is there a translation surface structure on S such that its isometry group is exactly G? We will also (partially) address the related question for Veech groups (linked to affinities of the translation surface). Our methods are inspired by the recent work on hyperbolic surfaces by Aougab, Patel and Vlamis. This is a joint work with A. Randecker, C. Sadanand, F. Valdez and G. Weitze-Schmithüsen
Евгений Красильников защитил кандидатскую диссертацию!
Поздравляем Евгения Красильникова, сотрудника международной лаборатории кластерной геометрии с успешной защитой диссертации на тему: «Свойство интегрируемости в комбинаторике групп перестановок», представленной на соискание ученой степени кандидата математических наук.
Проведена Международная конференция «Инвариантность и интегрируемость2»,
с 4 по 9 сентября 2024 годав в Кочубей-центре НИУ ВШЭ, Санкт-Петербург, г. Пушкин