OSU Mathematics Seminars and Colloquia
Tue, Dec 01, 2020
Number Theory Seminar
2:00 PM
A Tits Alternative for Rational Functions
Thomas Tucker, University of Rochester
Host: Paul Fili
Contact Paul Fili for the Zoom link.
[Abstract] [PDF]
Abstract: The Tits alternative states that any finitely generated linear group is either virtually solvable or contains a non-abelian free group. This implies that every finitely generated linear group has either polynomial or exponential growth. We will show that a similar result holds for finitely generated semigroups of rational functions in characteristic 0. This is joint work with Jason Bell, Keping Huang, and Wayne Peng.
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