Semicontinuity properties of Kazhdan-Lusztig cells in affine Weyl groups of rank 2

In this talk I will introduce the semicontinuity conjecture of Cedric Bonnafe concerning the behaviour of the Kazhdan-Lusztig cells when the parameters are varying. I will then describe the partition into cells of the affine Weyl groups of rank 2 and show that the semicontinuity conjecture hold in these cases.

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After the talk we will be taking the speaker to lunch at the Grandstand Bar.