Скачать или смотреть Péter Varjú: Lifting in special linear groups (NTWS 240)

Abstract: Given an element in SL_n(Z/qZ), what is the smallest element of SL_n(Z) that projects to it? We show that a lift with entries bounded by O(q^2 log q) always exists, and that the exponent 2 is best possible. Time permitting we may discuss the analogous problem of finding integer matrices with prescribed determinant that approximates a given matrix with real entries. Joint work with Amitay Kamber.

Link to slides: https://drive.google.com/file/d/14A76...

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

Original air date:
Thursday, March 6, 2025 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm Indian Standard Time)
Friday, March 7, 2025 (12am CST, 3am AEDT, 5am NZDT)