IMPAN Colloquium
Wednesdays at 14:15 in Room 321, before the lecture there are cookies and tea in room 409 at 13:45
Organizers:
Marcin Lara, Grigor Sargsyan, Mateusz Wasilewski, Aneta Wróblewska-Kamińska
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UPCOMING MEETINGS
UPCOMING MEETINGS
OCTOBER 28 (room 403)
Young-Pil Choi (Yonsei University)
Self-organized dynamics: models, applications, and continuum descriptions
Collective phenomena such as aggregation, flocking, and the emergence of spatial patterns arise in a wide range of biological and physical systems and have attracted considerable attention in applied mathematics and related fields. In this talk, I will introduce several mathematical models of interacting particle systems that describe various forms of collective behavior, including applications to formation control and global optimization. I will illustrate how relatively simple interaction rules can give rise to complex collective phenomena. I will then discuss how these discrete particle models can be connected to kinetic and macroscopic descriptions as the number of particles becomes large. The emphasis will be on the underlying ideas, diverse applications, and mathematical challenges in understanding collective dynamics across different scales.
PAST MEETINGS
OCTOBER 7
Joseph Landsberg (Texas A&M University)
Spaces of matrices of bounded rank
I'll discuss a classical problem in linear algebra: what are the linear subspaces of a space of mxm matrices where no matrix in the subspace has full rank? This problem has been studied at least since 1949, but little is known about it. I'll describe recent progress on the problem and why we were motivated to study it. This is joint work with Hang (Amy) Huang.
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