In this talk we study some properties of the Hadamard products of symbolic powers, in particular, if for points $P, Q\in {\mathbb{P}}^2$, we get $I(P)^m*I(Q)^n= I(P*Q)^{m+n−1}$. We obtain different results according to the number of zero coordinates in $P$ and $Q$. Successively, we define the so called Hadamard fat grids, which are the result of the Hadamard product of two sets of collinear points with given multiplicites. The most important invariants of Hadamard fat grids, as minimal resolution, Waldschmidt constant and resurgence, are then computed using also tools and known results in ${\mathbb{P}}^1\times{\mathbb{P}}^1$. (This is a joint work with I. Bahmani Jafarloo, C. Bocci, G. Malara).

Venue: online
https://zoom.us/join
Meeting ID: 9086116889
Passcode: 362880
Website: http://math.ipm.ac.ir/agnt/