The exponents of $A_1^k$ restrictions of Weyl arrangements
Speaker: Tran Nhat Tan (Hokkaido University)

Time: 9h30, Thursday, March 9, 2017

 Location: Room 4, Institute of Mathematic, 18 Hoang Quoc Viet

Abtract: In this talk, we define a certain restriction when restricted the whole arrangement to a special subspace (which is what we call an $A_1^2$ subspace) and show that under certain assumptions, the multiset of exponents of the corresponding arrangement is ${m_1,ldots, m_{ell-2}}$.
We also give some numerical results on the exponents of ($A_1^k$) restrictions in higher codimensions, and expect that the results from this study may suggest the need for significant future research to further expand the understanding of the exponents of other restrictions of Weyl arrangements.
This is joint work with Hiroaki Terao.


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