报告人： Roberto Paoletti (Universita degli Studi di Milano Bicocca, Italy)

报告题目: SCALING ASYMPTOTICS FOR QUANTIZED HAMILTONIAN FLOWS

报告时间：5月6日（周一）下午2：30-3：30

报告地点：本部金融工程中心（览秀楼）105室

Abstract: In recent years, the near diagonal asymptotics of the equivariant components of the Szego kernel of a positive line bundle on a compact symplectic manifold have been studied extensively by many authors. As a natural generalization of this theme,here we consider the local scaling asymptotics of the Toeplitz quantization of a Hamiltonian symplectomorphism, and specifically how they concentrate on the graph of the underlying classical map.

 

  

报告人：Reyer Sjamaar (University of Cornell, USA)

报告题目: Induction of representations and Poincar'e duality

报告时间：5月6日（周一）下午4：00-5：00

报告地点：本部金融工程中心（览秀楼）105室

Abstract: Let G be a group and H a subgroup.  Frobenius showed in 1898 how to enlarge a representation of H to a representation of G.  His method, now called induction, rapidly became a useful technical tool in algebra and harmonic analysis and was adapted by others in various ways.  For instance, in 1965 Bott made a systematic study of induction methods based on invariant elliptic differential operators in the context of compact Lie groups, which led to generalizations of the Weyl character formula.  I will review and update Bott's work and discuss some applications to K-theory.  This is joint work with Greg Landweber.