Tat Thang Nguyen (Institite of Mathematics, VAST)

Title: Motivic nearby cycles of nondegenerate polynomials

Abstract: In this talk, we study polynomials with complex coefficients which are nondegenerate in two senses, one of Kouchnirenko and the other with respect to its Newton polyhedron, through data on contact loci and motivic nearby cycles. We introduce an explicit description of these quantities in terms of the face functions. This is a joint work with Le Quy Thuong.