## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** Is there a smallest algebraic integer?

**Speaker:** Vesselin Dimitrov

**Speaker Info:** University of Toronto

**Brief Description:**

**Special Note**:

**Abstract:**

The Schinzel-Zassenhaus conjecture describes the narrowest
collar width around the unit circle that contains a full set of conjugate
algebraic integers of a given degree, at least one of which lies off the
unit circle. I will explain what this conjecture precisely says and how it
is proved. The method involved in this solution turns out to yield some
other new results whose ideas I will describe, including to the
closest interlacing of Frobenius eigenvalues for abelian varieties over
finite fields, the closest separation of Salem numbers in a fixed
interval, and the distribution of the short Kobayashi geodesics in the
Siegel modular variety.

**Date:** Tuesday, January 25, 2022

**Time:** 4:00PM

**Where:** Lunt 107

**Contact Person:** Bao Le Hung

**Contact email:** lhvietbao@math.northwestern.edu

**Contact Phone:**

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