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Abstracts for Conference "Dynamics: Topology and Numbers", July 2 - 6, 2018

Alternatively have a look at the program.

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Posted in
Speaker: 
Manfred Einsiedler
Affiliation: 
ETH Zürich
Date: 
Mon, 2018-07-02 10:00 - 10:50
Location: 
MPIM Lecture Hall

We will discuss an equidistribution problem concerning rational planes in four-space. Due to an accidental isomorphism this problem relates in a natural manner to the simultaneous study of four CM-points on the modular surface and two points on the two-dimensional sphere. Using Duke's theorem and a joining classification we obtain joint equidistribution under suitable congruence conditions on the covolume of the planes.
This is joint work with Menny Aka and Andreas Wieser, and relies on a joint theorem with Elon Lindenstrauss.

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Posted in
Speaker: 
Kate Juschenko
Affiliation: 
Northwestern University
Date: 
Mon, 2018-07-02 11:30 - 12:20
Location: 
MPIM Lecture Hall

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Speaker: 
Stefano Marmi
Affiliation: 
Scuola Normale Superiore, Pisa
Date: 
Mon, 2018-07-02 14:00 - 14:50
Location: 
MPIM Lecture Hall

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Posted in
Speaker: 
De-Jun Feng
Affiliation: 
The Chinese University of Hong Kong
Date: 
Mon, 2018-07-02 15:00 - 15:50
Location: 
MPIM Lecture Hall

Life and Mathematics of Sergiy Kolyada

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Speaker: 
Lubomir Snoha
Affiliation: 
Matej Bel University, Banská Bystrica
Date: 
Mon, 2018-07-02 16:30 - 17:20
Location: 
MPIM Lecture Hall

Audience recollections of Sergiy Kolyada

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Speaker: 
Audience recollections
Date: 
Mon, 2018-07-02 17:20 - 18:00
Location: 
MPIM Lecture Hall

Special alpha-limit sets

Posted in
Speaker: 
Michal Misiurewicz
Affiliation: 
IUOUI, Indianapolis
Date: 
Tue, 2018-07-03 10:00 - 10:50
Location: 
MPIM Lecture Hall

This is an unfinished work, started last year with Sergiy Kolyada and
Lubomir Snoha. I hoped all three of us would complete it during this

meeting...

We investigate the notion of the special alpha-limit set of a point.

For a given map of a compact space to itself, it is defined as the
union of the sets of accumulation points over all backward branches of
the map. We consider mainly the case of interval maps. We give many
examples showing how those sets may look like. The main question is

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Posted in
Speaker: 
Lubomir Snoha
Affiliation: 
Matej Bel University, Banská Bystrica
Date: 
Tue, 2018-07-03 11:30 - 12:20
Location: 
MPIM Lecture Hall

Teichmuller curves mod $p$

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Speaker: 
Ronen Mukamel
Affiliation: 
Rice University, Houston
Date: 
Tue, 2018-07-03 14:00 - 14:50
Location: 
MPIM Lecture Hall

A Teichmuller curve is a totally geodesic curve in the moduli space of Riemann surfaces. These curves are defined by polynomials with integer coefficients which are irreducible over $\mathbb C$. We will show that these polynomials have surprising factorizations mod $p$.  This is joint work with Keerthi Madapusi Pera.

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Posted in
Speaker: 
Laura DeMarco
Affiliation: 
Northwestern University
Date: 
Tue, 2018-07-03 15:00 - 15:50
Location: 
MPIM Lecture Hall
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