Join us for these events hosted by the Department of Mathematics, including colloquia, seminars, graduate student defenses and outreach, or of interest to Mathematicians hosted by other groups on campus.

### Valuation Rings over Function Field

**Speaker:** Peyton Pfeiffer

In this talk, we will discuss algebraic concepts used to study function fields of one variable such as valuation rings. We will see that the valuation rings of a function field correspond to the places and discrete valuation functions of a function field. These aspects of function fields offer a more algebraic approach to important ideas in algebraic geometry such as the Riemann-Roch theorem. Read more.