One Hat Cyber Team

Your IP : 216.73.216.115

Server IP : 194.44.31.54

Server : Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64

Server Software : Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k

PHP Version : 5.6.40

Buat File | Buat Folder

Dir : ~/home/appmath/public_html/abstracts/

Edit File: Berest.html

<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
<head>
 <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
 <meta name="Author" content="Department of Applied Research">
 <meta name="GENERATOR" content="Mozilla/4.7 [en] (Win98; I) [Netscape]">
 <title>Berest</title>
</head>
<body>
Yuri Berest
Department of Mathematics, Cornell University
 Malott Hall, Ithaca, N.Y. 14853-4201, U.S.A.
E-mail: berest@math.cornell.edu
Noncommutative geometry and integrable systems
(joint work with George Wilson)
Abstract:
 In recent years, there have been a number of important applications
of techniques and ideas from algebraic geometry to noncommutative algebra.
By efforts of M. Artin and his collaborators a far-reaching noncommutative
version of projective algebraic geometry has been developed. Roughly speaking,
the&nbsp; key idea behind this generalization is to view the category of
graded modules modulo torsion over a noncommutative graded ring&nbsp; as
the noncommutative analogue of a projective variety (or more precisely,
of the category of quasi-coherent sheaves over such a variety). This intuition
has already led to a remarkable number of non-trivial results in noncommutative
algebra and representation theory.
 It turns out that the geometry of noncommutative projective surfaces
is intrinsically related to certain well-known integrable systems. In my
talk I shall try to explain this relation. As an important example I will
show that the space of algebraic solutions to the KP integrable hierarchy
can be identified with the moduli spaces of noncommutative framed line
bundles (over a certain quantum projective plane). This is much in parallel
with the famous ADHM construction of instanton solutions to the classical
Yang-Mills equations.
 &nbsp;
 &nbsp;
 &nbsp;
</body>
</html>