Math Seminar: Ryan Grady (Montana State University) "Euler characteristic, curves, and K-theory"
- Monday, October 11, 2021 from 4:10pm to 5:15pm
- Wilson Hall, 1-143 - view map
Monday, October 11, 4:10-5:15pm MT
Wilson Hall 1-143
Ryan Grady (Montana State University)
Euler characteristic, curves, and K-theory
The Euler characteristic is---a priori---a combinatorial quantity associated to a triangulated object, e.g., a graph or a simplicial complex. Basic properties of the Euler characteristic show that it is actually a topological invariant. In this talk, I will recall the Euler characteristic and show how it leads to an easy classification of Platonic solids. We will then jump forward a few hundred years and discuss the categorification of the Euler characteristic: homology. Finally, inspired by topological data analysis, we will tell a parallel story for Euler curves, persistence modules, and algebraic K-theory. The latter part of the talk discusses work that is joint with Anna Schenfisch.
- Department of Mathematical Sciences