中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人万忱 博士Rutgers-Newark

 The local multiplicity problem for spherical varieties

  2021.11.19(星期五),09:00-10:00

  点:数学院南楼N204 腾讯会议:471 597 132

  要:In these talks, I will discuss the local multiplicity problem for spherical varieties. In the first talk, I will go over the general conjecture for the multiplicity and all the known results. I will also discuss how to use the multiplicity formula to prove the results in some lower rank cases. In the second talk, I will define the geometric multiplicities and formulate the conjectural multiplicity formula for general spherical varieties. I will also discuss more applications of the multiplicity formulas. In the third talk, I will explain how to use the trace formula method to prove the multiplicity formulas in many cases.

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