Distinguished Lectures in
Dynamics
April 10 - 14, 2017
Lecture Theatre AG 66 and AG 69,
Tata Institute of Fundamental Research, Mumbai
* Organizers *
S. G. Dani and Anish Ghosh
The distinguished lectures in Dynamics,
2017 will feature three series of lectures on contemporary
themes in and at the interface of dynamics, geometry and number
theory.
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Alexander Gorodnik
(University of Bristol)
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Yves Guivarc'h
(Université de Rennes I)
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Mark Pollicott
(University of Warwick)
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Analysis of correlations
for group actions and applications
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Extreme value theory,
spectral gaps and metric Diophantine approximation
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Exponential mixing for
geodesic flows and skew products
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Abstracts
1. Alexander Gorodnik: In these lectures,
we discuss asymptotic properties of correlations and higher
order correlations for actions of Lie groups. We will be
especially interested in providing quantitative estimates for
the correlations which capture quasi-independence of observables
generated by the actions. Furthermore, we discuss
number-theoretic, combinatorial, and probabilisitic applications
of the analysis of correlations.
2. Mark Pollicott: It is approximately 20 years since Dolgopyat
introduced a method for showing that geodesic flows on compact
surfaces of (variable) negative curvature mix exponentially
fast, generalizing the approach for constant curvature surfaces
based on decay of matrix coefficients. This approach
remains very useful and we will describe the basic idea some of
the more recent applications of this approach, and related
ideas, to geometry, algorithms, skew products, etc.
Financial Support provided by the
University Grants Commission
Limited
Accommodation Available
For further details, please contact:
Anish Ghosh (ghosh@math.tifr.res.in)