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Mini Course

Speaker:
Andres Koropecki
(Universidade Federal Fluminense, Brazil)

Title: Prime ends and rotation numbers in two-dimensional dynamics

Description:

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Date &
Time:
Tuesday, Feb. 28, 2017, 11:00--12:15
Wednesday, March 1, 2017, 11:00--12:15
Tuesday, March 7, 2017, 11:00--12:15
Wednesday, March 8, 2017, 11:00--12:30

Location: 
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran
Poster

Mini Course

Speakers:
Lorenzo J. Díaz  (PUC-Rio, Rio de Janeiro, Brazil)
Katrin Gelfert  (UFRJ, Rio de Janeiro, Brazil)

Title:

Ergodic Aspects of Partially Hyperbolic Diffeomorphisms
Description:

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Date &
Time:
Wednesday, Feb. 22, 2017, 15:30--17:00
Thursday, Feb. 23, 2017, 10:30--12:00
Thursday, Feb. 23, 2017, 14:00--15:30
Tuesday, March 7, 2017, 9:30--10:45
Tuesday, March 7, 2017, 14:00--15:30
Wednesday, March 8, 2017, 15:30--17:00

Location: 
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran
Poster

GT Seminar

Speaker:     
Xiaochuan Liu (IMPA, Brazil)

Title: Rotation Theory for Minimal Diffeomorphisms on Two Torus

Abstract:
Franks-Misiurewicz Conjecture has several sub-cases, while some of the cases were proved, one case was disproved by Avila. Based on the construction of Avila, we give an example, for which, pointwise rotation number is not well defined for Lebesgue almost every point. This is a joint work with A. Avila and D. Xu

Date & Time:
Wednesday, March 1, 2017, 15:30--17:00
Location: 
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran



Mini Course

Speaker:
Ali Tahzibi  
(ICMC - University of São Paulo, São Carlos, Brazil)

Title: Random walk on the group of matrices and diffeomorphisms:
a dynamical point of view

Description:

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Date &
Time:
Tuesday, Feb. 28, 2017, 9:30--10:45
Tuesday, Feb. 28, 2017, 14:00--15:30
Wednesday, March 1, 2017, 9:30--10:45

Location: 
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran
Poster

Mathematics Colloquium

Speaker:

Mark Pollicott (University of Warwick)
Title: Apollonian circles and packings

Description:

Over 2000 years ago, the mathematician Apollonius began the study of families of circle in the plane which are mutually tangent. Repeating his construction leads to the famous Apollonian circle packing, an example of a fractal set. More recently, they have been the subject of renewed interest by princesses, Nobel Laureates and others, but many interesting problems remain.

Date &
Time:
Wednesday, February 15, 2017,
16:30 - 17:30

Venue:
Lecture Hall 1, IPM Niavaran Building, Niavaran Square, Tehran


School on Ergodic theory and Dynamical Systems
Tarbiat Modares University
February 13-17, 2017


The school consists of two mini-courses by
Mark Pollicott and David Burguet.
For more information and registration click here.
Poster

GT Seminar

Speaker:

Andres Navas  (Universidad de Santiago de Chile)
Title: On a geometric property of quasi-periodic tilings.

Description:

Roughly, a Delone set is the set of vertices of a tiling using pieces that "do not degenerate" in form. Formally, it is a uniformly separated and coarsely dense subset of the plane.

A natural question raised by Gromov and Furstenberg was answered in the negative by Burago-Kleiner and McMullen: there exist Delone sets that are not bi-Lipschitz equivalent to the standard lattice. In this talk, we will show that such sets can be even made "repetitive", which means that they are the vertices of a quasi-periodic tiling. Nevertheless, we will see that this cannot be the case for "Isfahan like tilings" (as the Penrose one): for all of these, there are even bi-Lipschitz homeomorphisms of the plane sending the Delone set into the standard lattice.

Date &
Time:
Wednesday, Feb. 8, 2017, 15:30-17:00

Location:
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran


Mini Course

Speaker:
Andres Navas  (Universidad de Santiago de Chile)

Title:

Some simple results and questions concerning cohomology of dynamical systems

Description:

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Date &
Time:
Tuesday, Feb. 7, 2017, 9:30--10:45
Tuesday, Feb. 7, 2017, 11:00--12:15
Thursday, Feb. 9, 2017, 9:30--10:45
Thursday, Feb. 9, 2017, 11:00--12:15

Location: 
Lecture Hall 2,
IPM Niavaran Building,
Niavaran Square, Tehran
Poster

Mini Course

Speakers:
Sebastian Baader (University of Bern)
Marius Huber (University of Bern)

Title: Plane algebraic curves, positive braids and Heegaard Floer homology

Description:

The main purpose of this course is to study isolated singularities of plane algebraic curves by knot theoretical methods.

In the first lecture, we explain the dichotomy between simple and non-simple singularities, which is based on the difference between the topological and analytical equivalence of singularities. We will prove that all singularities of multiplicity two are simple, and give an easy example of a non-simple singularity of multiplicity four.

In the second lecture, we discuss links associated with isolated singularities of plane curves, and, more generally, positive braid links. As we will see, the links associated with simple singularities can be characterized as prime positive braid links which admit a positive definite Seifert form.

The third lecture focuses on the canonical fibre surface of positive braid links. In particular, we will see how these surfaces can be constructed by an operation called positive Hopf plumbing. This provides a simple description of their monodromies.

The fourth lecture will be a research talk by Marius Huber on the Floer homology of positive fibred Pretzel knots. These admit an even simpler Hopf plumbing structure than positive braid knots. We describe a pair of mutant knots of this type that cannot be distinguished by the hat version of Floer homology. Moreover, we give a conjectural picture on the Floer homology that implies mutation invariance for this class of knots.

Date &
Time:
Tuesday, Jan. 31, 2017, 14:00-15:30
Wednesday, Feb. 1, 2017, 15:30-17:00
Monday, Feb. 6, 2017, 14:00-15:30,
Tuesday, Feb. 7, 2017, 14:00-15:30

Location:
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran


Mini Course

Speakers:
Dawoud Ahmadi Dastjerdi  (University of Guilan, Rasht, Iran)
Maryam Hosseini  (IPM, Tehran, Iran)

Title:

An Introduction to Symbolic Dynamics
Description:

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Date &
Time:
Tuesday, Jan. 31, 2017, 9:30--12:30
Wednesday, Feb. 1, 2017, 9:30--12:30
Thursday, Feb. 2, 2017, 9:30--12:30

Location: 
Lecture Hall 2,
IPM Niavaran Building,
Niavaran Square, Tehran
Poster

GT Seminars' Archive

January 1 - December 31, 2016
April 30, 2015 - December 31, 2015
February 19, 2015 - May 14, 2015
November 6, 2014 - December 18, 2014
November 7, 2013 - April 24, 2014
July 17, 2013 - August 14, 2013
January 7, 2013 - March 6, 2013
October 31, 2012 - December 5, 2012
October 5, 2011 - February 15, 2012
May 25, 2011 - Sept 14, 2011
Oct 13, 2010 - Dec 29, 2010
April 28, 2010 - Sept 8, 2010
Sept 23, 2009 - March 10, 2010

School of Mathematics,
IPM - Institute for Research in Fundamental Sciences
Niavaran Building, Niavaran Square, Tehran, Iran
Tel: +98 21 222 90 928
Email: gt@ipm.ir