EMS WiM Day 2025

Evropsko matematično združenje vsako leto z dogodkom počasti delo in doprinos žensk v matematiki. Letošnji EMS Women in Mathematics Day 2025 bo tako potekal v petek 9. maja 2025. Ob tej priložnosti bosta preko videokonferenčnega sistema ZOOM predavali Maria Colombo (EPF Lausanne) in Özlem Imamoglu (ETH Zurich). Pričetek prenosa bo ob 15. uri, predavanji pa se začneta ob 15.15 oz. 16.15. Povzetka v angleškem jeziku se nahajata spodaj.

Maria Colombo (EPF Lausanne): Instability and nonuniqueness in fluid equations

For the two dimensional Euler equations, a classical result by Yudovich states that solutions are unique in the class of bounded vorticity; it is a celebrated open problem whether this uniqueness result can be extended to the class of L^p-vorticities. In recent years, many contributions lead to significant progress: just to mention a few, there were results based on convex integration, on instability in self-similar variables, the study of certain point vortices, numerical evidences. The talk will provide an overview of these developments and highlight new results showing that solutions obtained in the vanishing viscosity limit from the (well-posed) Navier-Stokes equations may be nonunique.

Özlem Imamoglu (ETH Zurich): Quadratic forms, quadratic fields and Modular functions

There are numerous connections between binary quadratic forms, quadratic fields and modular forms. One of the most beautiful is provided by the theory of singular moduli, which are the values of the Klein’s modular j-invariant at imaginary quadratic irrationalities. These values are known to be algebraic and have been studied extensively since the time of Kronecker and Weber. In this talk I will give an overview of some of the old and new results and various applications of the connections between quadratic forms, quadratic fields and modular functions.