I P M - Workshop and Conference on Logic, Algebra, and Arithmetic
                         
 
 

 

You can get more information about this program here. (English Version) (Farsi Version)
News and Events

 

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


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.


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


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)
 

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

 


 

Schedule for the NCG Program

 

 
Day - Time

12:00-14:00

14:00-16:00

16:00-

Saturdays

Topics in NCG

(Instructor: M. Khalkhali)

K-theory

(Instructor: E. Eftekhari)

Seminar on NCG

Sundays

 

Tutorial Class

(13:00-15:00)

Journal Club

(15:00-17:00)

Mondays

Topics in NCG

(Instructor: M. Khalkhali)

K-theory

(Instructor: E. Eftekhari)

 

 

 

 

 

 

Starting date: Saturday, October 2, 2010 (Mehr 10, 1389)


 

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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School of Mathematics
Institute for Research in Fundamental Sciences (IPM)