Contact loci, motivic Milnor fibers of nondegenerate singularities

Time: 09:00 to  11:00 Ngày 14/10/2019

Venue/Location: C2-714, VIASM

Speaker: TS. Lê Quý Thường, ĐHKHTN - ĐHQG Hà Nội

Content:
Inspired by Denef-Loeser's identity of the Euler characteristic with compact supports of the contact loci with the Lefschetz numbers of a complex singularity, we study sheaf cohomology groups of contact loci of complex nondegenerate singularities. Moreover, also for these singularities, we obtain a motivic analogue of Lê Dũng Tráng's work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane (Joint work with Nguyen Tat Thang).