ODTÜ-BİLKENT ALGEBRAIC GEOMETRY SEMINAR

 

 

“Tropical Varieties for Exponential Sums”

 

 

 

By

 

 

ALPEREN ERGÜR

(texas a&m unıversıty)

 

 

 

Abstract:  We define a variant of tropical varieties for exponential sums. These polyhedral  complexes can be used to approximate, within an explicit distance bound, the real parts of complex zeroes of exponential sums. We also discuss the algorithmic efficiency of tropical varieties in relation to the computational hardness of algebraic sets. Our proof involves techniques from basic complex analysis, inequalities and some recent probabilistic estimates on projections that might be of interest to analyst. This is joint work with Maurice Rojas and Grigoris Paouris.

 

 

 

Date:  Friday, December  4, 2015

Time: 15.40

Place: Mathematics Seminar Room, SA – 141

 

Tea and cookies will be served before the seminar.