Monday 26 May 2025
15:00–16:30*

Takuro Abe (Rikkyo University) — Tame arrangements

Tame arrangements were informally introduced by Orlik and Terao for the study of Milnor fibers of arrangements. The definition of tame arrangements is based on projective dimensions, and in general it is very hard to check. However, tame arrangements have played important roles in several areas of arrangements, including freeness, master functions and critical varieties, Bernstein-Sato polynomials, Solomon-Terao algebras, likelihood geometry and so on. On the other hand, the research on tame arrangements themselves was very few, like a sufficient condition for tameness by Mustata-Schenck.

In this talk, we give several fundamental results for tameness, i.e., addition, deletion and restrictions, Zeigler-Yoshinaga type results for tameness. We also give several examples of tame arrangements by using them.

* Eastern European Time, i.e. UTC+2 in winter and UTC+3 in summer.