The Department of Statistics and Operations Research
The University of North Carolina at Chapel Hill
Graduate Student Seminar
Friday, November 10 th, 2023
125 Hanes Hall 3:30-4:30pm
or via Zoom:
https://unc.zoom.us/j/92731259806?pwd=eTc3Ylo0SWNFOHV4eERvSjRrUmlKQT09
Meeting ID: 927 3125 9806
Passcode: 100210
Ali Mohammad Nezhad
UNC Chapel Hill – Statistics & Operations Research
On the algebraic aspects of Optimization
Abstract: Real Algebraic geometry (should not be confused with algebraic geometry) is the study of algebra, topology, and geometry on a category of sets and functions described by polynomial equations and inequalities, so-called the category of semialgebraic sets and semi-algebraic functions. In this talk, I will present a summary of my past and current research at the interface of optimization and real algebraic geometry. More precisely, I will elaborate on the Łojasiewicz inequality, NewtonPuiseux theorem, and Morse theory, and highlight their applications to semi-definite optimization, polynomial optimization, and superlinear convergence of interior point methods.

There will be happy hour following this talk

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