タイトル:Multiple addition/deletion theorems and the existence of free paths in the affine Weyl arrangements
講演者:寺尾 宏明(北海道大学理学研究科)

アブストラクト:
The multiple addition theorem (MAT), which is a variation
of the classical addition theorem for free arranmgements,
was recently used to settle a conjecture by Sommers-Tymoczko
positively. In this talk, its dual version, the multiple
deletion theorem (MDT), is presented. Combing the two
theorems, we may find free paths in any affine Weyl arrangement
so that the paths may contain every generalized extended
Shi/Catalan arrangement. (joint work with Takuro Abe)