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.
Biography
Graduated from the Department of Mathematics and Mechanics of Leningrad State University (LSU) in 1991 (chair of Algebra and Number Theory). I was a graduate student at St.Petersburg Steklov Math. Institute in 1991–94, and at Northwestern University (Illinois, USA) 1994–97. Ph.D. thesis (Northwestern) was defended in 1997. Ph.D. from St.Petersburg University was defended in 1998.
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.
On some topological methods in Algebraic Geometry S. A. Yagunov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences February 17, 2003
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