On monodromy conjecture

Time: 09:00 đến 11:30 ngày 06/12/2016, 09:00 đến 11:30 ngày 13/12/2016, 14:00 đến 16:30 ngày 20/12/2016,

Venue/Location: B4-705

Speaker: Le Quy Thuong

Content:

Introduced in the 1970s by Igusa, the monodromy conjecture is one of the most important problems in singularity theory, algebraic geometry and number theory, which may connect geometry and arithmetic of a polynomial with integer coefficients. In this talk, we recall the earlier version of the conjecture using p-adic integration and mention sketch of proof of Loeser for curve singularity upon his knowledge of the Bernstein polynomial. On the other hand, the recent advances about monodromy conjecture are motivated by motivic integration, via studies on motivic Igusa zeta function, in which the motivic version of the conjecture can imply the original one. Therefore, it is important to introduce motivic zeta function in the talk and concerned works. We finish the talk by presenting a short proof of Budur, Mustata and Teitler for hyperplane arrangements.