Toric compactifications of semi-algebraic sets

Series: 
Algebra Seminar
Monday, February 22, 2016 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Universit├Ąt Konstanz
,  
Organizer: 
We study compactifications of real semi-algebraic sets that arise from embeddings into complete toric varieties. This makes it possible to describe the asymptotic growth of polynomial functions on such sets in terms of combinatorial data. We discuss the phenomena that arise in examples along with some applications to positive polynomials. (Joint work with Claus Scheiderer)