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The growth of free inverse semigroups

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NPCW06 - Non-positive curvature and applications

I will discuss recent work, joint with Mark Kambites, Nóra Szakács, and Richard Webb (Manchester), on determining the exact exponential growth rate of free inverse semigroups, algebraic objects arising from considering finite connected subgraphs of the Cayley graph of the free group. These growth rates turn out to be algebraic numbers with rather mysterious defining polynomials. I will also briefly discuss growth rates of closely related algebraic objects, called free regular *-semigroups, and show that the growth rate for the monogenic such object is intermediate. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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Virtual (Zoom) register here: https://www.eventbrite.co.uk/e/153473203483 Ramsden Room St Catharine's College Queens' College, Fitzpatrick Hall

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