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You can get more information about this program here. (English
Version) (Farsi
Version)
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Visitors
to IPM
Farzad Fathizadeh from York
University, Canada (July 11-31, 2011) and Kursat Aker
from Feza Gursey Institute, Turkey (July 15-31, 2011)
will be guests at IPM. They are invited by the NCG
program here to give a series of lectures on NCG at IPM.
Lie Algebra
Represenations by Examples
Kursat Aker
Feza Gursey Institute, Turkey
Abstract:
In these lectures, we will introduce basics of
Lie algebra representations
in small rank examples, sl(2) and sl(3),
type A1 and A2 respectively.
Lectures will cover such basics as highest weight
theory, various
dimension formulas, and character
formulas.
If time permits, we will also discuss other small rank
examples of
type B2 and G2 as well as a more
combinatorial approach
to characters using the Lenart-Postnikov
alcove model.
Date: Saturday July 23, 2011
and Sunday July 24, 2011
Time: 14:00 - 15:00
Gauss-Bonnet Theorem
for Noncommutative Two Torus
Farzad Fathizadeh
York University, Canada
Date:
Monday July 18, 2011 and Tuesday July 19, 2011
Time: 14:00-15:00
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Short
Course on
Spectral Invariants and Noncommutative Geometry
Masoud Khalkhali
University of Western Ontario, Canada
Time: Saturdays (14:00-16:00),
Sundays (13:00-15:00), Mondays (14:00-16:00)
Starting Date: Saturday June 11, 2011
You can see the abstract of the short course by clicking
here.
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Seminar on
NCG
Amenability for Locally Compact Groups and Banach
Algebras
Mahdi Rostami
Time: Saturday, December 4, 2010 at 12:00
Introduction to Cyclic Cohomology 1
Masoud Khalkhali
University of Western Ontario, Canada
Abstract:
Cyclic cohomology is the noncommutative analogue of
de Rham homology and as such plays a fundamental role in
noncommutative geometry and its applications. In these
series of lectures I shall give a rather detailed
exposition of cyclic cohomology with a view towards main
examples, calculations, and applications. The lectures
will be self contained and no prior knowledge of cyclic
cohomology or noncommutative geometry will be assumed.
Time: Saturday, October 2, 2010 at 16:00
Galois Symmetries of Fundamental
Groupoids and
Noncommutative Geometry (after Goncharov) - I
Amir Jafari
Sharif University of Technology
Time: Saturday, October 9, 2010
at 16:00
Galois Symmetries of Fundamental
Groupoids and
Noncommutative Geometry (after Goncharov) - II
Amir Jafari
Sharif University of Technology
Time: Wednesday, October 13, 2010
at 16:30
Introduction to Cyclic Cohomology 2
Masoud Khalkhali
University of Western Ontario, Canada
Abstract:
Cyclic cohomology is the noncommutative analogue of
de Rham homology and as such plays a fundamental role in
noncommutative geometry and its applications. In these
series of lectures I shall give a rather detailed
exposition of cyclic cohomology with a view towards main
examples, calculations, and applications. The lectures
will be self contained and no prior knowledge of cyclic
cohomology or noncommutative geometry will be assumed.
Time: Saturday, October 30, 2010 at 16:30
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 Prof.
Yasuyuki Kawahigashi from
University of Tokyo, Japan, will be
visiting IPM during October 20-26. During his stay, he
will present 4 lectures.
Titles and Schedule of Talks
First talk:
Introduction to Von Neumann algebras and their
representations (Thursday, October 21, 10-12 AM)
Second talk:
Subfactor theory of Jones (Saturday October 23, 16-18
PM)
Third talk:
Conformal field theory and operator algebras (Sunday
October 24, 10-12 AM)
Fourth talk:
Superconformal field theory and noncommutative geometry
(Sunday October 24, 16-18 PM)
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Mini
Course
Massoud Amini
IPM and Tarbiat Modarres University
(6 Sessions)
1. Basics of C*-algebras and
W*-algebras,
Time: Wednesday, October 13, 2010 (1389/7/21) at
10:00
2. Spectral Theory (bounded and
unbounded operators),
Time: Thursday, October 14, 2010 (1389/7/22) at
9:00
3. AF C*-algebras,
Time: Wednesday, October 20, 2010 (1389/7/28) at
10:00
4. C*-algebras of isometries and
irrational rotation algebra,
Time: Thursday, October 21, 2010 (1389/7/29) at
16:00
5. Group C*-algebras and discrete
crossed products,
Time: Wednesday, October 27, 2010 (1389/8/5) at
14:00
6. Classification of W*-algebras (by
type) and AF C*-algebras (by K-theory),
Time: Thursday, October 28, 2010 (1389/8/6) at
14:00
Note: The text book is K.R. Davidson, C*-algebras
by Examples, Fields Institute Monographs, American
Mathematical Society, Providence, 1996
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Schedule for the NCG Program
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Day - Time |
12:00-14:00 |
14:00-16:00 |
16:00- … |
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Saturdays |
Topics in NCG
(Instructor: M. Khalkhali) |
K-theory
(Instructor: E. Eftekhari) |
Seminar on NCG |
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Sundays |
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Tutorial Class
(13:00-15:00) |
Journal Club
(15:00-17:00) |
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Mondays |
Topics in NCG
(Instructor: M. Khalkhali) |
K-theory
(Instructor: E. Eftekhari) |
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Starting date: Saturday, October
2, 2010 (Mehr 10, 1389)
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Organizational
Meeting
The first organizational meeting for the Noncommuative
Geometry program will take place on Sunday September 26,
2010 (Mehr 4, 1389) at 14:00 in Niavaran Building. In
this meeting we shall schedule our lectures and
seminars. All are welcome.
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