Les mathématiques ont un rôle essentiel à jouer à l’EPFL en raison du large champ d’applications qui en découle, ce qui conduit à une utilisation croissante des modèles mathématiques par les scientifiques et les ingénieurs.

Les domaines mathématiques étudiés à l’EPFL sont divers, ce qui souligne la nécessité de maintenir des groupes de recherche forts dans le domaine des mathématiques fondamentales et appliquées ; les interactions qui en résultent peuvent stimuler la recherche en mathématiques fondamentales et en mathématiques appliquées, tout en faisant profiter directement d’autres domaines.

Avec la classe inversée, Simone Deparis a révolutionné son cours

Epfl

Maître d’enseignement et de recherche en section mathématiques, Simone Deparis est le lauréat du Credit Suisse Award for best teaching 2018. Il a mis en place un enseignement d’algèbre linéaire en classe inversée qui séduit le

Maryna Viazovska invited speaker at the 2018 ICM in Rio de Janeiro

Epfl

Professor Maryna Viazovska is one of the invited speakers at the 2018 International Congress of Mathematicians (ICM), which is hosted in Rio de Janeiro. She gave a talk about her research on sharp sphere packings.

Victor Panaretos to deliver 2019 Bernoulli Society Forum Lectures

Epfl

The Bernoulli Society for Mathematical Statistics and Probability has elected Professor Victor Panaretos to deliver their prestigious biannual Forum Lectures. Professor Panaretos is the youngest mathematician to receive the honor.

Export event

16:15

Detecting and exploiting the low-effective dimension of multivariate problems using gradient information

Par:Dr Olivier ZAHM - INRA - AIRSEA, FR

Export event

14:15

15:00

Asymmetric least squares techniques for extreme risk estimation

Statistics Seminar

Par:Prof. Ass. Gilles Stupfler, University of Nottingham

Export event

15:15

CO-DIMENSION ONE STABLE BLOWUP FOR THE SUPERCRITICAL CUBIC WAVE EQUATION

Par:Prof.  Birgit  Schorkhuber  -  Karlsruhe Institute of Technology - DE

Export event

11:00

12:00

Evolution of triangulations: Hausdorff and spectral dimensions

How complex networks formed by triangulations and higher-dimensional simplicial complexes can represent closed evolving manifolds [1]. In particular, for triangulations, the set of possible transformations of these networks is restricted by the condition that at each step, all the faces must be triangles, which is the key constraint in this theory. Stochastic application of these operations leads to random networks with different architectures. I will show how geometries of growing and equilibrium complex networks generated by these transformations and their local structural properties can be described. This characterisation includes the Hausdorff and spectral dimensions of the resulting networks, their degree distributions, and various structural correlations. The results reveal a rich zoo of architectures and geometries of these networks, some of which appear to be small worlds while others are finite-dimensional with a wide spectrum of Hausdorff and spectral dimensions.

[1] D. C. da Silva, G. Bianconi, R. A. da Costa, S. N. Dorogovtsev, and J. F. F. Mendes, Complex network view of evolving manifolds, Phys. Rev. E 97, 032316 (2018).

Par:José Fernando Mendes (University of Aveiro)

Export event

14:00

15:00

Reductions of non-lc-ideals and non-$F$-pure ideals assuming weak ordinarity

Abstract: It has been known for several decades that there are close connections between certain classes of singularities in the Minimal Model Program over $\mathbb{C}$ and so-called $F$-singularities which are defined in positive characteristic via Frobenius. There is a more refined conjecture which relates multiplier ideal filtrations and test ideal filtrations. The triviality of certain parts of this filtration may be used to define some of the singularities mentioned previously. It is known that this conjecture is equivalent to the so-called weak ordinarity conjecture from arithmetic geometry (which roughly speaking asserts that if $X$ is a smooth projective varietiy of dimension $d$ defined over $\Spec \mathbb{Z}$ then its reductions mod $p$ admit bijective Frobenius action on $H^{d-1}(X_p,\mathcal{O}_{X_p})$ for inifinitely many $p$) by work of Srinivas, Mustata, Bhatt, Schwede, Takagi. I will survey these results and time permitting talk about a similar conjectural relation between maximal non-lc ideal filtrations and non-$F$-pure ideal filtrations which in some cases is also equivalent to weak ordinarity.

Par:Axel Stabler (Johannes Gutenberg Universität Mainz)