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27.05.2019
«High Dimensional Expanders»

«High Dimensional Expanders»

Alex Lubotzky (Hebrew University, Israel)

Совместный коллоквиум лаборатории «Современная алгебра и приложения»
и лаборатории им. П. Л. Чебышева

Понедельник 3 июня 17:15 ауд. 301 (14 линия В. О., 29)

Аннотация

 

Expander graphs in general, and Ramanujan graphs in particular, have been
a focused of a lot of research in the last five decades. It has been probably the
area with the most fruitful interaction between mathematics and computer
science, where applications went both ways.
In recent years a high dimensional theory of expanders have started to
emerge.
We will survey some its its challenges and achievements and try to explain
why this is not just a generalization but also an area which lead to new horizons
in pure math (e.g. topological overlapping) and in CS («property testing»).

 

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