College of Liberal Arts & Sciences

# Algebra Seminar

Speaker:

Philipp Jell

Topic:

"Lefschetz (1,1)-theorem in tropical geometry"

**Abstract: **

Tropical geometry is combinatorial in nature, but behaves analogously to complex and algebraic geometry in many ways.

In this talk we introduce tropical geometry and present a result that provides another one of those analogies: The Lefschetz (1,1)-therorem. For a smooth projective complex variety *X*, the classical Lefschetz (1,1)-theorem characterizes the (1,1)-cohomology classes of *X* that are Chern classes of line bundles. In joint work with Johannes Rau and Kristin Shaw, we proved a tropical analogue of this.

Event Date:

February 15, 2019 - 4:30pm to 5:30pm

Location:

217 MLH

Calendar Category:

Seminar

Seminar Category:

Algebra