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PRODID:Mathematics Seminar Calendar
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UID:20190820T105714-18581@math.msu.edu
DTSTAMP:20190820T105714Z
SUMMARY:A construction of pseudo-Anosov braids with small normalized entropies
DESCRIPTION:Speaker\: Eiko Kin, Osaka University, Japan\r\nWe consider pseudo-Anosov braids b. The logarithm of the stretch factor of the pseudo-Anosov braid b is called the entropy. By normalized entropy of b with n strands, we mean the n times (the entropy of b). \r\nLet b_n be a sequence of pseudo-Anosov braids. We say that the sequence b_n has a small normalized entropy \r\nif the number of strands of b_n behaves like n \r\nand the normalized entropy of b_n is bounded from above by a constant which does not depend on n. \r\nWe give a construction of sequences of pseudo-Anosov braids having small normalized entropies. As an application, we explain the smallest entropy among skew-palindromic braids with n strands is comparable to 1/n. \r\nThis is joint work with Susumu Hirose.
LOCATION:C304 Wells Hall
DTSTART:20190507T180000Z
DTEND:20190507T190000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=18581
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