**ODTÜ-B****İ****LKENT
ALGEBRAIC GEOMETRY SEM****I****NAR**

# “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.**

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**Date: ****Friday, December 4, 2015**

**Time: ****15.40**

**Place: ****Mathematics Seminar Room,
****SA – 141**

Tea and cookies will be served before the
seminar.