University Assistant

Pierre Py

August ****

Date of birth: october **, 1983.

Professional address: Department of Mathematics, University of Chicago, 5734 S. University

Avenue, Chicago, IL, 60637, USA; ******.**@****.********.***

Web page: http://www.math.uchicago.edu/ pierre.py/

Position

September 2008 : L.E. Dickson Instructor in the Department of Mathematics of the University

of Chicago.

Education

September 2002 June 2005: magist`re de math matiques at Ecole Normale Sup rieure de Lyon

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(Master s degree in mathematics).

2005 2008: Phd student at Ecole Normale Sup rieure de Lyon (supervisor: Etienne Ghys). I

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defended my Ph.D. thesis in February 2008.

Awards

NSF Grant 0905911, Geometry and Dynamics of the group of Hamiltonian di eomorphisms of a

surface (2009-2012).

Mathematical activities

Publications

1. On continuity of quasi-morphisms for symplectic maps, with M. Entov and L. Polterovich

(with an appendix by M. Khanevsky), 36 pages, to appear in the volume Perspectives in

Analysis, Geometry and Topology, dedicated to Oleg Viro, arXiv:09041397, April 2009.

2. Some remarks on area-preserving actions of lattices, 18 pages, to appear in the Zimmer

Festschrift (2008).

3. Quelques plats pour la m trique de Hofer, J. Reine Angew. Math., No. 620 (2008), pages

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185-193.

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4. Quasi-morphismes de Calabi et graphe de Reeb sur le tore, C.R. Math. Acad. Sci. Paris 343,

No. 5 (2006), pages 323-328.

5. Quasi-morphismes et invariant de Calabi, Ann. Sci. Ecole Norm. Sup. 39, No. 1 (2006),

pages 177-195.

Part of the results contained in this paper were announced in: Quasi-morphisme de Calabi

sur les surfaces de genre sup rieur, C.R. Math. Acad. Sci. Paris 341, No. 1 (2005), pages

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29-34.

6. Indice de Maslov et th or`me de Novikov-Wall, Bol. Soc. Mat. Mexicana (3) 11, No. 2

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(2005), pages 303-331.

7. On representation theory of symmetric groups, Zap. Nauchn. Sem. S.-Peterburg. Otdel.

Mat. Inst. Steklov. (POMI) 301( 2003), pages 229-242.

Some conferences I attended

1. International Conference on Group Theory: combinatorial, geometric and dynamical aspects

of in nite groups, Gaeta (Italy), June 2003.

2. Ecole d t de l Institut Fourier, Grenoble (France): G om trie ` courbure n gative ou nulle,

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groupes discrets et rigidit, June July 2004.

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3. Colloquium in Dynamical Systems and smooth Ergodic Theory, Universit Bordeaux 1 (France),

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June 2005.

4. Workshop on Conservative Dynamics and Lagrangian Systems, IMPA, Rio de Janeiro (Brazil),

August 2005.

5. Ecole d t de l Institut Fourier, Grenoble (France): Dynamique sur les surfaces, m thodes

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topologiques, June July 2006.

6. Workshop Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry, Ober-

wolfach (Germany), July 2006.

7. Symplectic Topology and Measure Preserving Dynamical Systems, Snowbird, Utah (USA),

July 2007.

8. Geometry, Rigidity and Group Actions, a conference in honor of Robert J. Zimmer 60th s

birthday, University of Chicago (USA), September 2007.

9. Geometric Group Theory, conference in honor of M. Davis 60th s birthday, Bedlewo (Poland),

June 2009.

10. AMS Spring Western Section Meeting (section Topics in Geometric Group Theory), Albu-

querque, New Mexico (USA), April 2010.

11. Symplectic geometry and transformation groups, Edinburgh (UK), July 2010.

Selected talks in seminars

1. Repr sentations lin aires du groupe sym trique, d apr`s Okounkov et Vershik, probability

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workshop, Universit Lyon 1 et ENS Lyon (France), October 2004.

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2. Quasi-morphisme de Calabi sur les surfaces de genre sup rieur, ENS Lyon (France), June

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2005.

3. Quasi-morphisms and di eomorphisms of surfaces (after J.-M. Gambaudo and E. Ghys),

Seminario de dinamica e geometria, PUC Rio (Brazil), November 2005.

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4. Quasi-mor smos e grupos de difeomor smos, UFAL Maceio (Brazil), February 2006.

5. Quasi-morphismes et di omorphismes hamiltoniens, topology and dynamics seminar, Orsay

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(France), April 2006.

6. Calabi quasi-morphism on higher genus surfaces, geometry seminar, Ludwig-Maximilians-

Universitat, Munich (Germany), April 2006.

7. Quasi-morphismes de Calabi sur les surfaces de genre sup rieur, s minaire d alg`bre, dy-

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namique et topologie, LATP, Centre de Math matiques et d Informatique, Marseille (France),

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June 2006.

8. Quasi-isometric embeddings of Abelian groups in Hofer s geometry, geometry and dynamics

seminar, Tel-Aviv University (Isra l), April 2007.

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9. Quasi-morphisms and Hamiltonian di eomorphisms, Geometry seminar, University of Michi-

gan (USA), September 2007.

10. Quasi-morphisms and Hamiltonian di eomorphisms, joint Topology-Dynamics seminar, In-

diana University (USA), September 2007.

11. Autour de la distance de Hofer, s minaire de g om trie symplectique et applications, IRMA

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Strasbourg (France), January 2008.

12. Some cohomology classes associated to groups of Hamiltonian di eomorphisms of surfaces,

geometry and dynamics seminar, Tel-Aviv University (Isra l), April 2008.

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13. Bounded cohomology and dynamics on surfaces, colloquium, Technion, Haifa (Isra l), June

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2008.

14. Quasi-morphisms continuous for the C 0 -topology on groups of area-preserving di eomor-

phisms of surfaces, Dynamical Systems seminar, Northwestern University (USA), November

2008.

15. Quasi-morphisms and area-preserving homeomorphisms, Topology and Geometric Group

Theory Seminar, Cornell University (USA), February 2009.

16. Quasi-morphisms and area-preserving homeomorphisms, Geometry, Topology and Dynamics

Seminar, University of Illinois at Chicago (USA), March 2009.

17. Quasi-morphisms and area-preserving homeomorphisms, Geometry and Topology Seminar,

CalTech (USA), March 2009.

18. Quasi-mor smos y grupos de transformaciones, CIMAT (Mexico), September 2009.

19. Actions of K hler groups on real hyperbolic spaces, Geometry and Topology Seminar, Caltech

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(USA), March 2010.

Talks in conferences

1. Calabi quasi-morphism on higher genus surfaces, Workshop on Conservative Dynamics and

Lagrangian Systems, IMPA, Rio de Janeiro (Brazil), August 2005.

2. Calabi quasi-morphisms on the 2-torus, workshop Geometric Group Theory, Hyperbolic Dy-

namics and Symplectic Geometry, Oberwolfach (Germany), July 2006.

3. Quasi-isometric embeddings of Euclidian spaces in the group of Hamiltonian di eomorphisms,

Symplectic Topology and Measure Preserving Dynamical Systems, AMS-IMS-SIAM joint

summer research conference, Snowbird Resort, Snowbird, Utah (USA), July 2007.

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4. Bounded cohomology and dynamics on surfaces, Geometry, Rigidity and Group Actions, a

conference in honor of Robert J. Zimmer 60th s birthday, University of Chicago (USA),

September 2007.

5. Quasi-morphisms and area-preserving homeomorphisms, Geometric Group Theory, confer-

ence in honor of M. Davis 60th s birthday, Bedlewo (Poland), June 2009.

6. Actions of K hler groups on real hyperbolic spaces, AMS special section on Topics in Geo-

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metric Group Theory, Albuquerque, New Mexico (USA), April 2010.

7. Quasi-morphisms and Hofer s metric, conference Symplectic Geometry and Transformation

Groups, Edinburgh (UK), July 2010.

Research visits :

1. IMPA, Rio de Janeiro (Brazil), 6 months, August 2005 February 2006.

2. Tel-Aviv University (Isra l), 2 weeks, April May 2007.

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3. Tel-Aviv University (Isra l), 10 weeks, March May 2008.

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4. Strasbourg University (France), September 2009 (1 week), February 2010 (1 week), June

2010 (1 week).

5. Hebrew University, Jerusalem (Isra l), 2 weeks, June 2010.

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Conferences organized

In september 2007, I co-organised with E. Ghys a workshop around Polterovich s work on Zim-

mer s program (http://www.umpa.ens-lyon.fr/ symplexe/rencontres lyon.php).

Oberwolfach Seminar on Bounded Cohomology, June 2009, with M. Bucher and N. Monod

(http://www.mfo.de/programme/schedule/2009/23a/programme0923a.html).

Miscellaneous

Referee for Geometry & Topology, Isra l Journal of Mathematics, Journal of Topology and Anal-

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ysis and Journal of Symplectic Geometry.

Teaching experience : teaching assistant at Ecole Normale Sup rieure de Lyon (2006 2008).

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Teaching at the University of Chicago: various calculus and analysis classes in 2008-2009 and

2009-2010.

Languages : French (native), English ( uent), Spanish ( uent), Portuguese.

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