Geometry
 & Topology
IPM
School of Mathematics


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Geometry and Topology Weekly Seminar

Speakers:
Muhammad Ali Khan
Centre of Mathematics, University of Porto (CMUP)

Title:

Statistical (In)Stability in Strange Attractors.
Description:

We will introduce the concept of physical measures and statistical stability for dynamical systems. We will discuss the existence of physical measures for certain families of dynamical systems including the well-known families of geometric and contracting Lorenz flows and the corresponding one dimensional maps. As an ultimate goal of this talk, we will present the results concluding statistical stability and instability for geometric and contracting Lorenz flows, respectively.
Date &
Time:
Wednesday, May. 1, 2019, 15:30--16:30
Location: 
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran
Printable Version


Graduate Course

Lecturers:
Eaman Eftekhary, Meysam Nassiri & Reza Seyyedali
(School of Mathematics, IPM)

Title:
Topology of Smooth Manifolds

Date: Thursdays, Fall 2018 - Spring 2019

Time: 8:30-10:00 & 10:30-12:00

(First lecture: Thursday, September 27, 2018, 8:30 a.m.)

Location: Lecture Hall 2,
Niavaran Building, IPM
Sh. Bahonar (Niavaran) Square, Tehran

Description:
This is a one-year program, aimed at introducing topics in low dimensional topology and dynamical systems to graduate students and advanced undergraduates. The topics considered for this program include:
1- Smooth manifolds, Functions on manifolds, Sard theorem
2- Intersection theory and Thom theorem
3- Vector fields, Lefschetz fixed-point theorem
4- Differential forms, cohomology
5- Fundamental group, covering spaces and lifting lemmas
6- Homology groups
7- Morse theory
8- Theory of Foliation
9- Topics in complex geometry, topology and dynamics.

References:
Guillemin and Pollack, Differential Topology.
Madsen and Tornehave, From Calculus to Cohomology.
Hatcher, Algebraic Topology.
Milnor, Lectures on h-cobordism theorem.
Camacho and Lins Neto, Geometric theory foliations.

امکان ثبت نام رسمی درس به عنوان دانشجوی مهمان در پژوهشکده ریاضیاتِ پژوهشگاه دانشهای بنیادی وجود دارد.

Problem Sets:


Thematic Program on Dynamical Systems
School of Mathematics, IPM
January-July, 2020


Courses:

        Fall 2019 - Spring 2020

Mini-Courses and Seminars:

        January 18 - March 2020
        April 10-23, 2020
        July 1-12, 2020 (t.b.c.)

Conferences:

        Feburary 22-25, 2020
        July 13-16, 2020 (t.b.c.)

Poster
url: math.ipm.ir/gt/ds2020 



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