学术报告
Geometric Satake correspondence and saturation problems
题目:Geometric Satake correspondence and saturation problems
报告人:洪久族 博士(University of North Carolina-Chapel Hill, USA)
摘要: Geometric Satake correspondence provides a uniform way to construct all irreducible representations of reductive groups. It also gives rise to bases of representations and the spaces of their tensor invariants. By recent work of Goncharov-Shen, these bases can be parametrized via tropical geometry. Saturation problems concern multiplicities that appear in decompositions of representations into irreducible components. I will explain how using Knutson-Tao's saturation theorem, the geometric Satake correspondence and parametrization of bases can be applied to get new results about the saturation problem for the spin group Spin(2n+1). This talk is based on the joint work with Linhui Shen.
时间:11月4日(周三)上午10:30-11:30
地点:首都师范大学北二区教学楼 513教室
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