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Summer School on Dynamical Systems and Number Theory
Technical University of Graz (Austria)
July 9 - 13, 2007

This summer school is supported by the Austrian Science Foundation (FWF) and is part of the National Research Network "Analytic Combinatorics and Probabilistic Number Theory".

The summer school is designed for PhD-students and young Post-Docs with some background in ergodic theory and number theory. We kindly ask you to distribute this announcement among young mathematicians that are interested in these topics.

In particular, the program provides four courses on recent developments in the interplay between dynamical systems and number theory:

○ Vitaly Bergelson: Ramsey Theory, Uniform Distribution, and Ergodic Theory
○ Manfred Einsiedler: Dynamics on Locally Homogeneous Spaces
○ Douglas Lind: Dynamics, Algebra, and Number Theory
○ Thomas Ward: Dynamical Properties of Commuting Automorphisms

Organizing Committee:

● Guy Barat, Technische Universitaet Graz
● Mathias Beiglboeck, Technische Universitaet Wien
● Gerhard Dorfer, Technische Universitaet Wien
● Peter Grabner, Technische Universitaet Graz
● Klaus Schmidt, Universitaet Wien
● Joerg Thuswaldner, Universitaet Leoben
● Reinhard Winkler, Technische Universitaet Wien

International Conference in honor of Yakov Pesin on his 60th birthday
Lisbon, Portugal
June 25-29, 2007

To celebrate Yakov Pesin's 60th birthday, the Conference "Nonuniformly Hyperbolic Dynamics and Smooth Ergodic Theory" will be held in Lisbon in June 25-29, 2007. You are cordially invited to participate.

Topics will include the subjects of his landmark works and those on which he exerted the strongest influence (including nonuniform hyperbolicity, smooth ergodic theory, partial hyperbolicity, thermodynamic formalism, dimension theory in dynamics, and related subjects).

In addition to the purely mathematical talks, Anatole Katok will speak with some recollections on the Moscow mathematical school in the seventies, early stages of Yakov Pesin's mathematical career and early
impact of his work.

Organizers: Luis Barreira and Anatole Katok

Conference in honor of G. Henkin
Institute Henri Poincare in Paris
June 17 - 22, 2007

There will be a Conference in Complex Analysis and its Applications in honor of Gennadi Henkin. The conference will begin on June 17 (2007) in the morning and end on June 22 in the afternoon. All lectures will take place at the Institute Henri Poincare in Paris.

The conference will cover the main scientific interests of Gennadi Henkin: Complex Analysis and its applications to Radon Transforms and Mathematical Physics.

Summer School 2007: Homogeneous Flows, Moduli Spaces and Arithmetic
Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy
June 11 - July 6, 2007

The CMI school will take place within the framework of a research trimester on dynamical systems and number theory at the De Giorgi Center. The trimester begins on Apr 16. Please refer to the De Giorgi Center for more information about the trimester  (www.crm.sns.it).

Summer School Program Description

Designed for graduate students and mathematicians within five years of their Ph.D., the program is an introduction to the theory of flows on homogeneous spaces, moduli spaces and their many applications.

These flows give concrete examples of dynamical systems with highly interesting behavior and a rich and powerful theory. They are also a source of many interesting problems and conjectures. Furthermore, understanding the dynamics of such concrete system lends to numerous applications in number theory and geometry regarding equidistributions, diophantine approximations, rational billiards and automorphic forms.

The school will consist of three weeks of foundational courses and one week of mini-courses focusing on more advanced topics.

Foundational Courses

The following 3 week lecture series will be held:

     ● "Unipotent flows and applications" Alex Eskin & Dmitry Kleinbock
     ● "Diagonalizable actions and arithmetic applications" Manfred Einsiedler & Elon Lindenstrauss
     ● "Interval exchange maps and translation surfaces" Jean-Christophe Yoccoz

Shorter courses will be given by Svetlana Katok and Shahar Mozes. Advanced minicourse will be given by Nalini Anantharaman, Artur Avila, Hee Oh, Akshay Venkatesh and others.

AWM workshop at SIAG-DS Meeting
Snowbird Ski and Summer Resort Snowbird, Utah
May 28-June 1, 2007

 The Association for Women Mathematicians (AWM) is holding a workshop for women grad students and recent PhDs in conjunction with the SIAM applied dynamical systems meeting at the end of May 2007. The deadline for applications has been extended to January 15, 2007. Info on applying can be found at https://archive.siam.org/meetings/ds07/

This is a fantastic meeting for people working in dynamical systems and/or applied mathematics. (See http://www.siam.org/meetings/ds07/ .) The AWM workshop will give women students and postdocs a chance to meet up with potential professional mentors and peers, and to showcase their research. Please pass this on to women students & postdocs who might benefit from this opportunity.

97th STATISTICAL MECHANICS CONFERENCE
RUTGERS UNIVERSITY, HILL CENTER, ROOM 114
MAY 6-8, 2007

To celebrate the achievements and birthdays of John Cardy, Juerg Frohlich and Tom Spencer.

A tentative partial list of speakers:

M. Aizenman, N. Andrei, G. Ben-Arous, W. Bialek, A. Bovier, L. Bunimovich, A. Chakraborty, M. Disertori, M. Douglas, P. Fendley, R. Fernandez, J. Garrahan, G. Giacomin, S. Goldstein, F. Guerra,
F. Hansen, J. Harnad, E. Heller, K. Hepp, A. Jaffe, A. Klein, H. Koch, U. Landman, G. Lawler, E. Lieb, A. Libchaber, A. Ludwig, G. Mussardo, L. Pastur, H. Pinson, B. Schlein, T. Seppalainen, Y. Sinai, B. Simon, S. Smirnov U. Tauber, B. Vollmayr-Lee, P. Wiegmann, H.T. Yau, S. Zamolodchikov, R. Ziff, M. Zurnbauer.

Dynamics Ideas in Geometry, Topology and Number Theory
Conference Honoring Svetlana Katok's Birthday
Department of Mathematics, Penn State, University Park
May 5-6, 2007

A conference honoring Svetlana Katok's birthday will take place at the Department of Mathematics, Penn State (University Park) on May 5-6, 2007.

Speakers:

Keith Burns (Northwestern University)
Krystyna Kuperberg (Auburn University)
Elon Lindenstrauss (Princeton University)
Gregory Margulis (Yale University)
John Millson (University of Maryland)
Peter Sarnak (Princeton University) - to be confirmed
Richard Schwartz (Brown University)
Audrey Terras (UC San Diego)

Organizers:

Tatyana Foth (University of Western Ontario)
Omri Sarig (Penn State)
Ilie Ugarcovici (DePaul University)

Dynamical Systems and Number Theory
Centro di Ricerca Matematica "Ennio De Giorgi" (Pisa, Italy)
16 April - 13 July 2007

The primary goal of this trimester is to provide a state of the art description of the subject of interaction between dynamics and number theory accessible both to young mathematicians wishing to do research in this area and to professional mathematicians from both disciplines interested in learning some of the most recent developments in the field.

In the framework of the research programme, it will take place the Clay Research Summer School at the Centro di Ricerca Matematica "Ennio De Giorgi" (Pisa, Italy) June 11th to July 6th 2007

The Clay Mathematics Institute will conduct its annual summer school for 2007 at the De Giorgi Mathematics Research Center in Pisa, Italy, from June 11th to July 6th 2007. The topic is "Homogeneous flows, moduli spaces, and arithmetic." Designed for graduate students and mathematicians within five years of their Ph.D., the program is an introduction to the theory of flows on homogeneous spaces and moduli spaces. These flows define concrete dynamical systems whose complex and subtle behavior leads to a rich theory, many interesting problems and conjectures, and a wealth of applications to number theory and geometry, e.g., equidistribution, diophantine approximation, rational billiards, and automorphic forms.

The school will consist of three weeks of foundational courses and one week of mini-courses focusing on more advanced topics. During the first three weeks there will be three long courses, of 14 lectures each, by Alex Eskin and Dmitry Kleinbock, Jean-Christophe Yoccoz, Manfred Einsiedler and Elon Lindenstrauss.

Organizing Committee: Manfred Einsiedler (Ohio State University), David Ellwood (Clay Mathematics Institute), Alex Eskin (University of Chicago), Dmitry Kleinboc (Brandeis University), Elon Lindenstrauss (Princeton University), Gregory Margulis (Yale University), Stefano Marmi (Scuola Normale Superiore Pisa), Peter Sarnak (Princeton University), Jean-Christophe Yoccoz: (College de France), Don Zagier (Max Planck Institut, Bonn and College de France).

Spring 2007 Maryland Dynamics workshop
University of Maryland, College Park
March 18-21, 2007

The Spring 2007 Maryland-Penn State Dynamics workshop (at Maryland) will be in recognition of the contributions of Hillel Furstenberg.

The dates are March 18-21, starting on Sunday morning the 18th, and concluding on Wednesday the 21st, about noon.


Confirmed speakers:

Vitaly Bergelson, Ohio State University
Eli Glasner, Tel Aviv University
Yves Guivarch, Rennes
Neil Hindman, Howard University
Bryna Kra, Northwestern
Elon Lindenstrauss, Princeton
Grigorii Margulis, Yale
Shahar Mozes, Hebrew University
Don Ornstein,Stanford
Yuval Peres, Berkeley and Microsoft
Yehuda Shalom, Tel Aviv University
Larry Shepp, Rutgers
Arkady Tempelman, Penn State
Benjy Weiss, Hebrew University
Tamar Ziegler, University of Michigan

Organizing committee: Joe Auslander, Vitaly Bergelson, Abram Kagan, Anatoly Katok, Jonathan Rosenberg, Dan Rudolph

Amenability
Erwin Schrodinger Insitute, Vienna
February 26 - July 14, 2007

The Erwin Schrodinger Institute (ESI) will host a special semester devoted to AMENABILITY during the period end of February 2007 - mid-July 2007.

The organizers are:
Anna Erschler (Orsay, France) anna.erschler@math.u-psud.fr,
Vadim A. Kaimanovich (Bremen, Germany) v.kaimanovich@iu-bremen.de,
Klaus Schmidt (Vienna, Austria) klaus.schmidt@univie.ac.at


The notion of amenability is a natural generalization of finiteness or compactness. It was introduced in 1929 by J. von Neumann (following the work of Hausdorff, Banach and Tarski; in 1955 M. M. Dye first called it amenability). Amenable groups are those which admit an invariant mean (rather than an invariant probability measure, which is the case for finite or compact groups). This classical notion has been generalized in many directions and currently plays an important role in various areas, such as dynamical systems, von Neumann and C*-algebras, operator K-theory, geometric group theory, random walks, etc.

The semester will be centered around several interconnected research subjects at the crossroads of Analysis, Algebra, Geometry, Dynamics and Probability. More specifically, we are going to discuss the following topics:
 

○ groups of intermediate growth, non-elementary amenable groups;

○ self-similar groups and iterated monodromy groups of rational maps;

○ graphed equivalence relations and amenability; L2 cohomology;

○ amenable groupoids; topological amenability of boundary actions;

○ amenability at infinity; Baum--Connes and Novikov conjectures;

○ amenability and rigidity; bounded cohomology;

○ amenable algebras;

○ quasi-isometric classification of amenable groups, geometricity of various group properties;

○ Dixmier's conjecture on characterization of amenability in terms of unitarizable representations;

○ generalizations of amenability: A-T-menabilty (Haagerup property); groups without free subgroups; superamenability;

○ random walks and other probabilistic models on amenable groups;

○ quantitative invariants of amenable groups: growth, isoperimetry, asymptotic entropy, etc.;

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