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科学研究
报告题目:

Deformation quantization of coadjoint orbits

报告人:

余世霖 教授 (厦门大学)

报告时间:

报告地点:

腾讯会议ID:948 870 806 密码:211206

报告摘要:

The coadjoint orbit method of Kirillov and Kostant suggests that irreducible unitary representations of a Lie group can be constructed as geometric quantization of coadjoint orbits of the group. It encounters difficulties in the case of noncompact reductive Lie groups. Vogan reformulated the orbit method in terms of quantization of equivariant vector bundles on certain algebraic varieties closely related to coadjoint orbits. I will propose a new way to quantize orbits using deformation quantization of symplectic varieties and their Lagrangian subvarieties and examine Vogan's conjecture. This is based on joint work with Conan Leung and ongoing work with Ivan Losev.

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