Bounds on point-conic incidences over finite fields and applications

Abstract: I will begin with a brief overview of some well-known results in incidence geometry and go on to discuss a recent joint work with Thang Pham and Audie Warren, in which we prove upper bounds on the number of incidences between sets of points and conics over finite fields. I will conclude the talk by considering applications to certain finite field variants of Erd\H{o}s type problems on the number of distinct algebraic distances formed by point sets, including improvements to results of Koh and Sun (2014) and Shparlinski (2006).

algebraic geometrynumber theory

Audience: researchers in the topic

Comments: Meeting ID: 908 611 6889, Passcode: The order of the symmetric group on 9 elements (Type the 6-digit number)

FGC-HRI-IPM Number Theory Webinars

Series comments: password is 848084