Bilecik Şeyh Edebali Üniversitesi Cebir ve Sayılar Teorisi Seminerleri
The interaction of number theory and topology through modular knots.
Toshiki Matsusaka
Kyushu University, Güney Kore
Closed geodesics associated with indefinite binary quadratic forms, or equivalently with real quadratic irrationals, have long been studied as geometric SL2(Z)-invariant. Building on the Birman-Williams approach to Lorenz knots and following the notion of modular knots introduced by Ghys, this talk investigates the topological SL2(Z)-invariants arising from modular knots. (This is joint work with Soon-Yi Kang and Kyungbae Park).
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