EMS Women in Mathematics Day 2025 (May 9th)
The Women in Mathematics Committee (WiM) of the European Mathematical Society is proud to announce the EMS Women in Mathematics Day 2025. This special event is organized as part of the "May 12th" initiative, a worldwide celebration of women in mathematics in memory of Maryam Mirzakhani, the first woman to receive the Fields Medal.
Event Details
The event will feature scientific colloquium-level talks by two distinguished speakers and will take place online on Friday, May 9th, 2025 with the following schedule:
15:00 - Welcome
15:15 - Maria Colombo (EPF Lausanne): Instability and nonuniqueness in fluid equations
16:15 - Özlem Imamoglu (ETH Zurich): Quadratic forms, quadratic fields and Modular functions
Any interested person may join via the Zoom Link: https://ethz.zoom.us/j/63730959422
About the Talks
Maria Colombo (EPF Lausanne)
Instability and nonuniqueness in fluid equations
Abstract: 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
Abstract: 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.
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