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Cheng Chen : Progresses of the local Gan-Gross-Prasad conjecture

The classical branching rules describe the spectrum of an irreducible complex representation of a compact Lie group to its subgroup. The local Ganâ??Grossâ??Prasad conjecture generalizes the branching problem to classical groups over local fields of characteristic zero. After the pioneering work of Waldspurger, there has been significant progress on the conjecture using various approaches. In my talk, I will introduce a relatively uniform approach to prove the conjecture, including joint work with Z. Luo and joint work with R. Chen and J. Zou.

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