The Sandpile Model (SPM) was introduced in 1987 by the physicists Bak, Tang, and Wiesenfeld to study self- organized criticality in dynamical systems. Since then, the model and its extensions have become central topics in contemporary research, particularly in mathematics, computer science, and physics.
This talk presents the SPM and its extensions, focusing on the structure of their state...
The study of minimal submanifolds has a long history. They arise naturally and have a lot of applications. There are sharp differences between properties of minimal hypersurfaces and minimal submanifolds in high codimension. For instance, in higher codimension the uniqueness and stability for solutions of Dirichlet problem of minimal surface equation no longer hold, and the solvability and...
This talk explores structural connections between integer partitions and Eisenstein series, with an emphasis on the arithmetic implications of modularity and quasi-modularity. As a primary example, we study generating functions arising from MacMahon-type partition variants and show that they admit quasi-modular descriptions. This framework provides effective control over their coefficients and...
In this talk, I discuss how mathematical structures contribute to advances in cardiovascular medicine, based on ongoing interdisciplinary collaborations with cardiovascular surgeons and cardiologists.
Starting from three-dimensional anatomical structures reconstructed from medical imaging, we perform hemodynamic analyses grounded in fluid equations and continuum mechanics. These analyses...
We will explain how to organize mentoring program.
Sanoli Gun will explain about it in Indian Women in Mathematics.
Yukari Ito will explain about Heidelberg Laureate Forum and the mentoring program.
