# Ilya Smirnov: Hilbert-Kunz multiplicity of the powers of an ideal

**Time: **
Mon 2019-02-11 11.00 - 12.00

**Lecturer: **
Ilya Smirnov

**Location: ** Room 32, building 5, Kräftriket, Department of Mathematics, Stockholm University

Abstract: Hilbert-Kunz multiplicity is a theory of multiplicity native to positive characteristic. I will compare its properties with the classical theory of multiplicity and will investigate what happens if one computes Hilbert-Kunz multiplicity of consecutive powers. The talk will include a number of open questions.