Meetings usually take place at 10am on Wednesdays in the second floor seminar room in Howard House.
A list of the previous meetings can be found at the 2015-16 Reading Group Webpage.

We are using the following material:

• [1]   Ratner's Theorem on SL(2,R)-invariant measures, M. Einsiedler, Jahresber. Deutsch. Math.-Verein., 108(3), 143–164, 2006. (Preprint available here).
• [2]   The cohomological equation for Roth-type interval exchange maps, S. Marmi, P. Moussa and J.-C. Yoccoz, Journal of the AMS, 18(4), 823-872, 2005.
• [3]   Affine interval exchange maps with a wandering interval, S. Marmi, P. Moussa and J.-C. Yoccoz, Proc. London Math. Soc., 100(3), 639-669, 2009.
• [4]   Ratner's Theorems on unipotent flows, D.W. Morris, Chicago Lectures in Mathematics Series, 2005.
• [5]   Ergodic infinite group extensions of geodesic flows on translation surfaces, D. Ralston and S.E. Troubetzkoy, Journal of Modern Dynamics, 6, 477-497, 2012. (Preprint available here).

Short courses and special seminars

Special seminar by Prof. Alexey Teplinsky
National Academy of Sciences of Ukraine (visiting from 24 to 28 October)

1. Renormalization of circle homeomorphisms and interval exchanges.

Special seminar by Dr. Lucia Simonelli
ICTP (visiting from 7 to 11 November)

1. Spectrum of parabolic flows/maps.

Special seminar by Prof. Michael Benedicks
KTH (visiting from 1 to 8 December)

1. Dynamical properties of Henon maps.

Special seminar by Prof. Marco Martens
Stony Brook University (visiting from 15 December to 18 January)

1. Renormalization in 1-dimensional dynamics;
2. Connections to random walks.

Special seminar by Prof. Alexandre Danilenko
Institute for Low Temperature Physics and Engineering - National Academy of Sciences of Ukraine (visiting from 21 to 27 January)

1. Ergodic Theory of stationary actions.

Special seminar by Dr. Nattalie Tamam
Tel Aviv University (visiting from 23 January to 3 February)

1. Dani's correspondence.

Special seminar by Prof. Stefano Marmi
Scuola Normale Superiore (visiting from 27 February to 3 March)

1. Linearization of generalised IETs.

Special seminar by Dr. Selim Ghazouani
DMA - Ecole Normale Supérieure (visiting from 13 to 17 March)

1. Dynamics of Affine IETs.

Special seminar by Mr. Jory Griffin
University of Bristol

1. Limit theorems for skew translations.

Meetings

1. Wednesday 28th September 2016: Essential values, periods and ergodicity of skew-products over linear flows (talk by M. Bromberg, based on [5]).
2. Friday 7th October 2016: Limit shapes of Birkhoff sums for IETs (talk by C. Ulcigrai, based on [3]).
3. Tuesday 18th October 2016: Dynamics of circle homeomorphisms (talk by L. Palmisano).
4. Tuesday 25th October 2016: Special seminar by Alexey Teplinsky.
5. Wednesday 9th November 2016: Special seminar by Lucia Simonelli.
6. Wednesday 16th November 2016: An introduction to Ratner's Theorems: unipotent actions and the Oppenheim Conjecture (talk by D. Ravotti, based on [4]).
7. Wednesday 23rd November 2016: The cohomological equation for IETs (talk by C. Ulcigrai, based on [2]).
8. Wednesday 30th November 2016: An introduction to Ratner's Theorems: measure classification for SL(2,R)-actions (talk by D. Ravotti, based on [1]).
9. Wednesday 7th December 2016: Special seminar by Michael Benedicks.
10. Tuesday 17th January 2017: Special seminar by Marco Martens.
11. Wednesday 25th January 2017: Special seminar by Alexandre Danilenko.
12. Wednesday 1st February 2017: Special seminar by Nattalie Tamam.
13. Tuesday 28th February 2017: Special seminar by Stefano Marmi.
14. Tuesday 7th March 2017: Substitution dynamical systems (talk by A. Solomko).
15. Tuesday 14th March 2017: Special seminar by Selim Ghazouani.
16. Tuesday 21st March 2017: Special seminar by Jory Griffin.
17. Tuesday 28th March 2017: Denjoy's counterexamples (talk by L. Palmisano).
18. Tuesday 4th April 2017: Thurston's method (talk by L. Palmisano).

Regular members

1. Corinna Ulcigrai
2. Michael Bromberg ✔
3. Liviana Palmisano
4. Anton Solomko
5. Davide Ravotti

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