Equivariant Intersection Theory
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Description: 28th Autumn School in Algebraic Geometry. Lukecin, Poland; 11--17 September 2005.
28th Autumn School in Algebraic Geometry Equivariant intersection theory Lukecin, Poland, September 11th - September 17th, 2005 Andrew Kresch (Warwick, UK) and Angelo Vistoli (Bologna, Italy) The subject of our lectures will be equivariant intersection theory. To any smooth complex algebraic variety X one associates two important rings, the Chow ring A(X) and the integral cohomology ring H(X). If G is a linear algebraic group acting on a complex smooth variety X, there are variants of these, called the equivariant Chow ring A_G(X) and the equivariant cohomology ring H_G(X). We will give an elementary introduction to the theory, focusing on examples. We will describe applications in algebraic geometry, to the calculations of Chow rings of important moduli spaces, to questions in representation theory, and to enumerative geometry and Gromov-Witten theory.
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| Page title: | Algebraic Geometry School 2005 |
| Keywords: | mathematics, algebraic geometry, intersection theory |
| Description: | training announcement |
| IP-address: | 193.0.96.13 |
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| NS | nameservers: f-dns.pl. [217.17.46.189][2001:1a68:0:10::189] |
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| Date | created: 2003.03.25 12:00:00 last modified: 2004.02.09 12:23:27 |