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