Tropical Varieties for Exponential Sums

Algebra Seminar
Monday, April 4, 2016 - 3:00pm
1 hour (actually 50 minutes)
Skiles 006
Texas A&M
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.  This is joint work with Maurice Rojas and Grigoris Paouris.