College of Liberal Arts & Sciences

# Women in Math Colloquium - Sept 24

September 24, 2020 - 3:30pm

Online (Zoom)

https://math.uiowa.edu/calendar/women-mathematics-colloquium-series

## Teena Gerhardt (MSU)

**Title**: Invariants of rings via equivariant homotopy

**Abstract**: Algebraic K-theory is an invariant of rings which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approach to computing algebraic K-theory uses equivariant homotopy theory, a branch of algebraic topology which studies topological objects with a group action. In this talk I will give an introduction to algebraic K-theory and its applications, and talk about modern methods to compute algebraic K-theory.

**Zoom link**: https://uiowa.zoom.us/j/93326427847