Advanced Course on 

Quasideterminants and Universal Localization

Programme

List of registered participants

List of registered participants with their lodging arranged through the CRM

Final practical information (pdf file)
Dates: January 30 to February 10, 2007
Place: Centre de Recerca Matemātica, Bellaterra.
Co-ordinators:

SILVANA BAZZONI, Universitā degli Studi di Padova

DOLORS HERBERA, Universitat Autōnoma de Barcelona

 

Goals:

The theory of determinants is one of the cornerstones of commutative algebra.
As early as 1845 A. Cayley made the first attempt to extend the theory to matrices with noncommutative entries. However, while useful analogues of the determinant have been developed in a number of special situations, no generally applicable theory treating matrices with noncommutative entries was known until the development of quasideterminants.
For an n by n matrix A=(aij), and for 1≤i, j≤n, the quasideterminant |A|ij is a rational function of the entries of A.

The rigorous study of quasideterminants necessary requires the theory of localizations of noncommutative rings (a subject involving subtleties not present in commutative localization).

One particularly striking application of of the quasideterminants is the generalization Vičte Theorem (expressing the coefficients of a polynomial over a field in terms of its roots) to the noncommutative case.
This leads to a theory of noncommutative symmetric functions.

This course will consist of three (largely independent) series of lectures. The titles are:

  • Noncommutative localization

  • Factorizations of noncommutative polynomials and noncommutative symmetric functions

  • Quasideterminants

Speakers:

ROBERT LEE WILSON, Rutgers University. Abstract

VLADIMIR RETAKH, Rutgers University. Abstract

 

Registration and Payment: Registration fee: 200 Euros

Registration fee for members of the Societat Catalana de Matemātiques: 100 Euros

Deadline for Registration and Payment: December 10, 2006.

REGISTRATION FORM (CLOSED)

PAYMENT FORM
Grants and
financial support:		 The CRM offers a limited number of grants covering the registration fee and/or accommodation addressed to young researchers. The deadline for application is November 10, 2006.

VERY IMPORTANT

If you apply for Financial Support please take the following steps:

1. Send the Application Form for Financial Support before the deadline (please do

    not pay the Registration fee yet).

2. Once you receive the resolution on your Financial Application you will

    be asked to send the Payment Form in the terms of that resolution.

3. You do not need to send the Registration Form.

 

APPLICATION FOR FINANCIAL SUPPORT (CLOSED)

Accommodation:

Participants awarded with lodging grant should check the list of participants with lodging arranged through the CRM (available after January 8).

 

The CRM has a few double occupancy furnished apartments* for rent in Vila Universitāria (on the UAB campus, where the CRM is) from January 29 to February 11. Prices are:

Single occupancy: 300 €

Double occupancy: 150 € (provided that there are two participants interested in sharing an apartment).

 

If you are interested, please, contact the Secretariat

 

* We have a limited number of apartments available only. Places will be offered following the order in which they are received. No reservation will be confirmed until we send a confirmation message.

 

Additional lodging information: Hotel Information
Additional information:

For further information, please contact the Secretariat

 

Last updated: 06/08/2007