Title: Introduction to discrete multilinear operators and their applications
Speaker: Dong Dong
Speaker Info: NU
Brief Description:
Special Note:
Abstract:
This talk is accessible to 2nd-year graduate students. We will first introduce a few classical multilinear operators in Euclidean space. Then we will turn to their discrete analogs. Here ``discrete'' refers to the setting of integer or finite field. Compared with the continuous case, the operators are in general more difficult to study in the integer setting, but are easier to handle in the finite field setting. These discrete operators have applications in PDE, ergodic theory, number theory, combinatorics, etc.Date: Monday, October 5, 2020