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Geometry and Topology Seminar
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سمینار هندسه و توپولوژی
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TITLE
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Proximal Actions, Strong Amenability, and Infinite Conjugacy Class Property
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SPEAKER
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Pooya Vahidi Ferdowsi
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Caltech
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TIME
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Sunday, March 3, 2019,
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10:00 - 12:00
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VENUE |
Lecture Hall 1, Niavaran Bldg.
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SUMMARY |
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A continuous action of a countable discrete group on a Hausdorff compact space $X$ is called proximal if for any pair of points $x$, $y$ in $X$, we can simultaneously push them together, i.e. there exists a sequence of group elements $g_n$ with $\lim g_n x = \lim g_n y$. A group is called Strongly Amenable if each of its proximal actions has a fixed point. Glasner introduced these notions and showed Strongly Amenable groups are Amenable. Moreover, he showed that virtually nilpotent groups are Strongly Amenable. In this talk I will present a recent result classifying strongly amenable groups. This is a joint work with Joshua Frisch and Omer Tamuz.
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تهران، ضلع جنوبی
ميدان شهيد باهنر (نياوران)، پژوهشگاه
دانشهای بنيادی، پژوهشکده رياضيات
School of
Mathematics, Institute for Research in
Fundamental Sciences (IPM), Niavaran
Bldg., Niavaran Square, Tehran
ipmmath@ipm.ir
♦ +98 21
22290928 ♦
math.ipm.ir |
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