Contact loci and Motivic nearby cycles of nondegenerate singularities
Speaker: Nguyên Tat Thang (Vietnam Academy of Science and Technology)

Time: 15h15 Friday, 1/7/2022

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Meeting ID: 896 0321 0669

Passcode: 340252

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. As a consequence, in the nondegeneracy in the sense of Kouchnirenko, we give calculations on cohomology groups of the contact loci. This is a joint work with Le Quy Thuong.

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