NSF Org:	OISE Office of International Science and Engineering
Recipient:	UNIVERSITY OF ILLINOIS
Initial Amendment Date:	December 17, 1997
Latest Amendment Date:	December 17, 1997
Award Number:	9724747
Award Instrument:	Standard Grant
Program Manager:	Cassandra Dudka OISE  Office of International Science and Engineering O/D  Office Of The Director
Start Date:	December 1, 1997
End Date:	November 30, 2000 (Estimated)
Total Intended Award Amount:	$15,678.00
Total Awarded Amount to Date:	$15,678.00
Funds Obligated to Date:	FY 1998 = $15,678.00
History of Investigator:	Henrik Aratyn (Principal Investigator) ARATYN@UIC.EDU
Recipient Sponsored Research Office:	University of Illinois at Chicago 809 S MARSHFIELD AVE M/C 551 CHICAGO IL  US  60612-4305 (312)996-2862
Sponsor Congressional District:	07
Primary Place of Performance:	University of Illinois at Chicago 809 S MARSHFIELD AVE M/C 551 CHICAGO IL  US  60612-4305
Primary Place of Performance Congressional District:	07
Unique Entity Identifier (UEI):	W8XEAJDKMXH3
Parent UEI:
NSF Program(s):	CENTRAL & EASTERN EUROPE PROGR
Primary Program Source:	app-0198
Program Reference Code(s):	0000, OTHR, 5958
Program Element Code(s):	597900
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.079

ABSTRACT

INT 97-24747 Aratyn This U.S.-Bulgarian cooperative research project is on "Integrable Systems and Applications to Quantum Physics." The principal investigators are Dr. Henrik Aratyn of the University of Illinois at Chicago and Drs. Svetlana Pacheva and Emil Nissimov of the Institute of Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. The researchers propose to focus on four main topics: 1) the relation of reduced KP integrable systems and the theory of affine Kac-Moody symmetry; 2) discrete-difference analogues of the classical integrable systems; 3) the relations of continuum and discrete integrable systems and quantum integrable models; and 4) some interesting physical application of their results. The research topics are some of the most central in mathematical physics in the past twenty years and are still actively developing. The work is significant for new instights into physically relevant field-theoretic models ranging from completely integrable systems in nonlinear soliton physics and planar statistical mechanics to string and membrane theories. It will represent an advance in the development of consistent systematic methods for understanding links between continuous and discrete integrable models. This project in physics research fulfills the program objectives of bringing together leading experts in the U.S. and Bulgaria to combine complementary efforts and capabilties in areas of strong mutual interest and competence on the basis of equality, reciprocity, and mutuality of benefit.

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