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 Scientific Seminar: Topological Algebra Founded by Igor Guran & Oleg Gutik in 2007 Advisor: Oleg Gutik
 Speaker: Serhii Bardyla (Kurt Gödel Research Center, University of Vienna) Talk: Shift-invariant filters on the bicyclic monoid When & where: December 16, 2020, at 1505 in ZOOM Abstract: We will discuss different kinds of filters on the bicyclic monoid $\mathcal C$ and the corresponding topologies on $\mathcal C^0$. Our results provide a powerful method of constructing inverse semigroup topologies on $\mathcal C^0$. We describe the finest non-discrete inverse semigroup topology on $\mathcal C^0$. Also, we show that there exists a well-ordered chain of inverse semigroup topologies on $\mathcal C^0$ of length $\mathfrak b$.

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