WEEKLY ACTIVITIES

The density of images of unit Jacobian determinant polynomial maps of $\Z^n$
Speaker: Nguyen Van Chau

Time: 9h00, Thursday, July 2, 2020

Location: Room 507, Building A6

Abstract: Motivated by the Jacobian problem we establish the estimate $$# { zin F(Z^n): max_{k=1,dots,n}vert z_kvert leq B}=O(B^{n-1}),; text{ as }Brightarrow +infty,$$ for possible non-invertible maps $F=(F_1,dots,F_n)in Z[X_1,dots,X_n]^n$ with $det DFequiv 1,$ where the implied constant depends on $F$.

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