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Talk

Talks and seminars, possibly part of a conference or series.

tba

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

tba

Posted in
Speaker: 
Alexander Gorodnik
Affiliation: 
University of Bristol
Date: 
Fri, 2018-07-06 11:30 - 12:20
Location: 
MPIM Lecture Hall

The metric theory of dense lattice orbits

Posted in
Speaker: 
Anish Ghosh
Affiliation: 
Tata Institute of Fundamental Research, Mumbai
Date: 
Fri, 2018-07-06 10:00 - 10:50
Location: 
MPIM Lecture Hall

The classical theory of metric Diophantine approximation is very well developed and has, in recent years, seen significant advances, partly due to connections with homogeneous dynamics. Several problems in this subject can be viewed as particular examples of a very general setup, that of lattice actions on homogeneous varieties of semisimple groups. The latter setup presents significant challenges, including but not limited to, the non-abelian nature of the objects under study. In joint work with Alexander Gorodnik and Amos Nevo, we develop a systematic metric theory for dense lattice orbits, including analogues

tba

Posted in
Speaker: 
Volodymyr Nekrashevych
Affiliation: 
Texas A&M University)
Date: 
Fri, 2018-07-06 09:00 - 09:50
Location: 
MPIM Lecture Hall

Rigidity for planes in hyperbolic $3$-manifolds and slices of Sierpinski carpets

Posted in
Speaker: 
Curtis McMullen
Affiliation: 
Harvard University
Date: 
Thu, 2018-07-05 15:00 - 15:50
Location: 
MPIM Lecture Hall

Sphere Packings and Arithmetic

Posted in
Speaker: 
Alex Kontorovich
Affiliation: 
Rutgers University
Date: 
Thu, 2018-07-05 14:00 - 14:50
Location: 
MPIM Lecture Hall

We define a general class of "crystallographic" sphere packings, and study the subclass of "superintegral" such. We prove an "arithmeticity" theorem, connecting these to the theory of hyperbolic arithmetic reflection lattices. As a consequence, superintegral packings only exist in finitely many dimensions, and in fact in finitely many commensurability classes, in principle allowing for a complete classification.

tba

Posted in
Speaker: 
Christopher Deninger
Affiliation: 
Universität Münster
Date: 
Thu, 2018-07-05 11:30 - 12:20
Location: 
MPIM Lecture Hall

tba

Posted in
Speaker: 
Alex Eskin
Affiliation: 
University of Chicago
Date: 
Thu, 2018-07-05 10:00 - 10:50
Location: 
MPIM Lecture Hall

Dynamics on abelian varieties in positive characteristic

Posted in
Speaker: 
Amir Mohammadi
Affiliation: 
The University of California, San Diego
Date: 
Wed, 2018-07-04 11:30 - 12:20
Location: 
MPIM Lecture Hall

Dynamics on abelian varieties in positive characteristic

Posted in
Speaker: 
Gunter Cornelissen
Affiliation: 
Universiteit Utrecht
Date: 
Wed, 2018-07-04 10:00 - 10:50
Location: 
MPIM Lecture Hall

We show that the dynamics of endomorphisms of abelian varieties (e.g., elliptic curves) over field of characteristic $p>0$ is sharply divided according to two possible scenario’s, reflected in properties of the Artin-Mazur zeta function (transcendental/rational) and orbit growth, somewhat similar to the mixing/non-mixing dichotomy in measurable dynamics. The two scenario’s are distinguished by the action on the $p$-torsion subgroup scheme.

tba

Posted in
Speaker: 
Dierk Schleicher
Affiliation: 
Jacob University Bremen
Date: 
Wed, 2018-07-04 09:00 - 09:50
Location: 
MPIM Lecture Hall

Teichmuller curves mod $p$

Posted in
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.

tba

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

tba

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

Audience recollections of Sergiy Kolyada

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

Life and Mathematics of Sergiy Kolyada

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

tba

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

tba

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

tba

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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