Ping Xi: Analytic approaches towards Katz’s problems on Kloosterman sums (NTWS 138)
Channel: Number Theory Web Seminar
Date: 19/05/2023

Abstract: Motivated by deep observations on elliptic curves/modular forms, Nicholas Katz proposed three problems on sign changes, equidistributions and modular structures of Kloosterman sums in 1980. In this talk, we will discuss some recent progresses towards these three problems made by analytic number theory (e.g., sieve methods and automorphic forms) combining certain tools from $\ell$-adic cohomology.

Link to slides: https://drive.google.com/file/d/1forM5nYLO9koCaMuK2fhAbcrr7W7Dvou

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, September 8, 2022 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm Israel Daylight Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, September 9, 2022 (1am AEST, 3am NZST)