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Upcoming Talks

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Abstracts of upcoming talks at the MPIM. For an overview see also the calendar.

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Speaker: 
Gerd Faltings
Affiliation: 
MPIM
Date: 
Mon, 2018-07-16 14:15 - 15:45
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

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Speaker: 
Dennis Gaitsgory
Affiliation: 
Harvard
Date: 
Wed, 2018-07-11 10:30 - 12:00
Location: 
MPIM Lecture Hall

New Mirzakhani-type identities for the simple hyperbolic length spectrum

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Speaker: 
Gaetan Borot
Affiliation: 
MPIM
Date: 
Tue, 2018-07-10 14:00 - 15:00
Location: 
MPIM Lecture Hall

McShane obtained in 1991 an identity expressing the function 1 on the Teichmueller space of the once-punctured torus as a sum over simple closed curves. It was generalized to bordered surfaces of all topologies by Mirzakhani in 2005, from which she deduced a topological recursion for the Weil-Petersson volumes.

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Speaker: 
Gerd Faltings
Affiliation: 
MPIM
Date: 
Mon, 2018-07-09 14:15 - 15:45
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

tba

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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

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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.

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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

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

Sphere Packings and Arithmetic

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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.

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