Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
08.02.1969
E-mail: ,
Website: https://www.mathematik.uni-bielefeld.de/~yagunov Keywords: extraordinary scheme cohomology; homology and cohomology of linear algebraic groups; algebraic K–theory.
Subject:
My initial field of interests was homology of linear groups. In my Ph.D. thesis and subsequent publications I computed homology of bi–grassmannian complex (which was a longstanding conjecture important in motivic cohomology.) I also generalized the notion of bloch group to higher dimensions and reduced some stability questions in homology of Linear Group to statements about these bloch groups. Later on, working together with Ivan Panin in cohomology of schemes, we could extended the famous rigidity lemma proved by A. Suslin in K–theory to every orientable cohomology theory on schemes.
Main publications:
S. Yagunov. Homology of bi–Grassmannian complexes // K–theory, v. 12, no. 3(1997), p. 277–292.
S. Yagunov. On the homology of $GL_n$ and higher pre–Bloch groups // Canadian Journal of Mathematics, v. 52, no. 6(2000), p. 1310–1338.
I. Panin, S. Yagunov. Rigidity for orientable functors // Journal of Pure and Applied Algebra 2002.
