Spectra and applications July 29 – 30, 2021 A short course by Josef Svoboda This is a survey course on the relation of the invariants of 3 manifolds and singularity theory. Using the theory of differential equations we relate classical 3 dimensional theory with modern category theory. Applications to Birational geometry and uniformization will be discussed. Programme July 29, 2021 15:00 – 15:45 Introduction 16:00 – 16:45 Thom Sebeastiani and invariants of links and Links and knots July 30, 2021 15:00 – 15:45 Examples 16:00 – 16:45 Categorifications, Ludmil Katzarkov Тhe lectures will be held in hall 404 of the Institute of Mathematics and Informatics.