2022/04/08 by Schweighofer, Markus
#11E25 #13J30 #14P10 #52Axx #90C22 #90C23 #Algebraic Geometry (math.AG) #FOS: Mathematics #History and Overview (math.HO) #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2205.04211
Chapters 1 to 4 are the lecture notes of my course "Real Algebraic Geometry I" from the winter term 2020/2021. Chapters 5 to 8 are the lecture notes of its continuation "Real Algebraic Geometry II" from the summer term 2021. Chapters 9 and 10 are the lecture notes of its further continuation "Geometry of Linear Matrix Inequalities" from the winter term 2021/2022. These courses have been delivered at the University of Konstanz in Southern Germany. The entirety of these lecture notes is accompanied by a list of 47 long videos which is available from the following YouTube playlist: https://youtube.com/playlist?list=PLbQ93L5pV-aRRwdEgGungHn5rN43BGe7