Dan žensk v matematiki
Odbor Women in Math Evropske matematične zveze bo letos še petič zapovrstjo organiziral dogodek z naslovom EMS/WiM Day. Namen dogodka je počastitev Dneva žensk v matematiki, ki ga sicer obeležujemo 12. maja, na rojstni dan Maryam Mirzakhani, odlične Iranske matematičarke in prejemnice Fieldsove medalje, ki je leta 2017 pri komaj 40 letih preminila za rakom.
Dogodek EMS/WiM Day bo letos potekal 19. maja s pričetkom ob 15:00 po srednjeevropskem času. Preko videokonferenčnega sistema ZOOM bosta predavali Ana Caraiani z Univerze v Bonnu (ob 15:15) in Isabelle Gallagher z Ecole Normale Supérieure v Parizu (ob 16:15). Povzetka obeh predavanj v angleškem jeziku se nahajata spodaj.
Ana Caraiani (University of Bonn): Elliptic curves and modularity
The goal of this talk is to give you a glimpse of the Langlands program, a central topic at the intersection of algebraic number theory, algebraic geometry and representation theory. I will focus on a celebrated instance of the Langlands correspondence, namely the modularity of elliptic curves. In the first part of the talk, I will give an explicit example, discuss the different meanings of modularity for rational elliptic curves, and mention applications. In the second part of the talk, I will discuss what is known about the modularity of elliptic curves over more general number fields.
Isabelle Gallagher (Ecole Normale Supérieure, Paris): On the dynamics of dilute gases
The evolution of a gas can be described by different models depending on the scale of observation. A natural question, raised by Hilbert in his sixth problem, is whether these models provide consistent predictions. In the case of gases of hard spheres, Lanford showed in 1974 that the Boltzmann equation appears as a law of large numbers in the low density limit, at least for very short times. In this talk we will present Lanford's result, and some more recent extensions to understand fluctuations and large deviations around the Boltzmann equation.