セミナー

発表言語 英語
開催日 2011年07月29日 10時30分
終了日 2011年07月29日 12時00分
開催場所京都大学理学部3号館 (数学教室) 152号室
セミナー名代数幾何学セミナー
タイトル Hochschild (co)homology and Atiyah classes. 
分野 代数
幾何
講演者名Michel Van den Bergh
講演者所属Universiteit Hasselt
概要The Hochschild homology and cohomology of an algebraic variety
were defined by Swan. In the smooth case the
Hochschild-Kostant-Rosenberg theorem yields
a kind of Hodge decomposition for these invariants.

Unfortunately the HKR decomposition does not
respect the many additional structures present on Hochschild
(co)homology (cupproduct, Lie bracket, capproduct,...).

In 2003 Caldararu conjectured (following a suggestion by
Kontsevich) that the HKR morphism could be made to
preserve the additional structures provided it is corrected
in a suitable way.

In the talk I will outline a proof of this conjecture using
deformation quantization. This is joint work with
Damien Calaque and Carlo Rossi.
リンクhttps://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html