[Turkmath:6039] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri
kapsamında, 31 Mart Cuma günü saat 14:00'te Dr. Ahmad Rafiqi (Galatasaray
 Üniversitesi) bir seminer verecektir. Seminerin detayları aşağıda olup tüm
ilgilenenler davetlidir.

Saygılarımızla.

Dear all,

There will be a seminar in Gebze Technical University (GTU) on 31st of
March by Dr. Ahmad Rafiqi (Galatasaray University).

Time and place: At 14:00 in Department of Mathematics, Lecture Room 3

Title: Surface homeomorphisms and certain algebraic units

Abstract: Homeomorphisms from a compact topological surface to itself have
a topological invariant associated to them known as the stretch-factor or
dilatation, which is a positive real number. Logarithms of this number
represent lengths of closed geodesics in the Moduli space of complete
hyperbolic metrics of constant curvature on the surface, as well as the
topological entropy of the homeomorphism, among other things. The precise
nature of what numbers appear as stretch-factors is unknown. It is known
since the 80s that the numbers are algebraic integers, units in fact, whose
Galois conjugates are bounded in absolute value between the number and its
reciprocal. One might suppose that these properties characterize all
stretch-factors, but this isn't known. In the talk, we will make a case for
and against this supposition, and provide interesting results along the way.
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20230327/f7f8002e/attachment.html>