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Burt Totaro: Decomposition of the diagonal, and applications
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Decomposition of the diagonal is a basic method in the theory of algebraic cycles. The method relates the birational geometry of a variety to properties of the Chow groups. One recent application is that the Chow ring of a finite group can depend nontrivially on the base field, even for fields containing the algebraic closure of Q. Another application is that a very general complex hypersurface in Pn+1 of degree at least about 2n/3 is not stably rational.
Recording during the thematic meeting: «Cohomological Methods in the Theory of Algebraic Groups» the September 01, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
- Videos enriched with abstracts, bibliographies, Mathematics Subject Classification
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Decomposition of the diagonal is a basic method in the theory of algebraic cycles. The method relates the birational geometry of a variety to properties of the Chow groups. One recent application is that the Chow ring of a finite group can depend nontrivially on the base field, even for fields containing the algebraic closure of Q. Another application is that a very general complex hypersurface in Pn+1 of degree at least about 2n/3 is not stably rational.
Recording during the thematic meeting: «Cohomological Methods in the Theory of Algebraic Groups» the September 01, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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