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On the size of infinite-dimensional representations of some groups
报告人:高帆研究员,浙江大学 时间:2026年04月18日10:00 字号:小中大

报告地点:行健楼学术活动室526

报告人简介:

高帆,浙江大学研究员、博士生导师,研究方向为自守表示论。研究成果发表于Amer. J. Math., IMRN, Math. Ann., Math. Z., Memoirs of the AMS, Trans. Amer. Math. Soc.等国际著名学术期刊。

报告摘要:

For a finite-dimensional representation of a finite group, its dimension is the simplest invariant one can consider. The situation changes drastically if we consider the group of rational points of a reductive group over a local field. In this expository talk, we will discuss how to measure the size of those (usually) infinite-dimensional representations of such groups. In particular, we highlight the role of the local Langlands correspondence in this story. If time permits, I will also mention my one-cent contribution along this line.


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