Seminarium Katedry Geometrii – dr Adam Abrams (Politechnika Wrocławska)

Szanowni Państwo,
Uprzejmie informujemy, że na seminarium Katedry Geometrii w czwartek 4 lutego 2021, godz. 10:15
wykład wygłosi dr Adam Abrams z Politechniki Wrocławskiej.
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Title: Rigidity of topological entropy for Fuchsian boundary maps.
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Abstract: Given an orientable closed surface S of constant negative curvature and genus g ≥ 2, we study a parameterized family of generalized Bowen–Series boundary maps and prove the following rigidity result: in this family the topological entropy is constant and depends only on the genus of the surface. We give an explicit formula for this entropy and show that the value of the topological entropy also stays constant in the Teichmüller space of the surface. The proofs use conjugation to maps of constant slope.

(Joint work with Svetlana Katok and Ilie Ugarcovici.)

Serdecznie zapraszamy do udziału w seminarium,

Andrzej Biś


Sekretariat WMiI UŁ, 02.02.2021

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