A. Dzhamay "Geometry of Discrete Integrable Systems"

Submitted by skonstantin on Tue, 05/15/2018 - 22:21

Abstract: Many interesting examples of discrete integrable systems can be studied from the geometric point of view. In this talk we will consider two classes of examples of such system: autonomous (QRT maps) and non-autonomous (discrete Painlevé equations). We introduce some geometric tools to study such systems, such as the blowup procedure to construct algebraic surfaces on which the mappings are regularized, linearization of the mapping on the Picard lattice of the surface and, for discrete Painlevé equations, the decomposition of the Picard lattice into complementary pairs of the surface and symmetry sub-lattices and construction of a birational representation of affine Weyl symmetry groups that gives a complete algebraic description of our non-linear dynamic. If time permits, we also explain the relationship between this picture and classical differential Painlevé equations.

Location: Znam. tower, 3 Komsomol'skaya rd. (entrance inside the arch).

V.V. Sokolov "Motions of the plane and group of symmetries of ornaments"

Submitted by skonstantin on Tue, 05/15/2018 - 09:30

We invite everyone to attend the lectures of Prof. V.V. Sokolov, Head Researcher of the Landau Institute for Theoretical Physics of the Russian Academy of Sciences.

The course of lectures is aimed at 1-st and 2-nd year students, but everyone is welcome.

In total, 2 meetings are planned:
The first meeting: Tuesday May 15, 16:00-17:30, lect. theatre 309, 7th building of YSU
The second meeting: Thursday May 17, 16:00-17:30, lect. theatre 309, 7th building of YSU

Seminar by Dmitry Gurevich "Quantum matrix algebras and their applications"

Submitted by skonstantin on Sun, 04/15/2018 - 21:23

Abstract: By a quantum matrix algebra (QMA) I mean an algebra generated by the entries of a matrix subject to some relations. The best known QMAs are the RTT algebras and the Reflection Equation ones. Each of them is associated with an R-matrix (constant or depending on parameters). QMAs play a very important role in the Quantum Integrable System theory. I plan to exhibit some properties of the mentioned algebras and explain their role in this theory.

Location: Znamenskaya Tower, 3 Komsomolskaya St. (entrance inside the arch)

Открытие регионального научно-образовательного математического центра «Центр интегрируемых систем»

Submitted by skonstantin on Tue, 01/09/2018 - 12:49

Открытие центра состоялось 15-16-го декабря. В мероприятии принимали участие ведущие ученые такие, как чл-корр. РАН В.М. Бухштабер, д.ф.-м.н., зам. главного редактора журнала “Квант” Н.П. Долбилин, акад. РАН Е.А. Кузнецов,  д.ф.-м.н. проф., вед. науч. сотр. Инст. теоретической физики РАН им. Л. Д. Ландау В.В. Соколов и акад. РАН Д.В. Трещев. В.М. Бухштабер, В.В. Соколов и Д.В. Трещев читали популярные лекции для преподавателей, научных сотрудников и студентов. Также, Н.Н. Андреев читал популярную лекцию для школьников. 

Лекция М. Веретенниковой по машинному обучению

Submitted by skonstantin on Tue, 01/09/2018 - 12:36

30 ноября состоялось лекция Марии Александровны Веретенниковой из  Высшей школы экономики по основам машинного обучения.

Аннотация: Мы продолжим тему регрессии с регуляризацией, обсудим вариант решения задачи кластеризации признаков по группам; посмотрим на применение метода в разных областях. Далее мы перейдём к задачам классификации с интересными примерами.