Universiteit Leiden

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This Week’s Discoveries | 19 November 2019

dinsdag 19 november 2019
Niels Bohrweg 2
2333 CA Leiden
De Sitterzaal

First lecture

Derived intersections and applications

Marton Hablicsek (MI) is an Assistant Professor at the Mathematics Department in the Algebra and Number Theory group. He received his PhD at the University of Wisconsin-Madison, and was a postdoctoral fellow at the University of Pennsylvania and at the University of Copenhagen. His primary research interest is in algebraic geometry, especially non-commutative geometry and homotopical algebraic geometry; in his main research, he studies deformation quantization in positive characteristics. Other mathematical interests include algebraic combinatorics, number theory and algebraic graphic statics.

Derived algebraic geometry is a recent branch of algebraic geometry which has exceptional success at studying deformation theory, moduli spaces and intersection theory. One purpose of derived algebraic geometry is to treat special, non-generic geometric situations. In intersection theory such situations arise when the intersection as a geometric object is singular or not of the expected dimension. In these cases, the classical intersection is replaced by a geometric object equipped with higher/cohomological data. In this talk, Marton will present some examples and applications including the Hochschild (co)homology of orbifolds, the Hodge theorem and the compatibility of deformation quantizations.

Second lecture, Lorentz Center Highlight

Hydrodynamics of runner crowds

Denis Bartolo (ENS)
Denis Bartolo is a professor of physics at the Ecole Normale Supérieure (ENS) of Lyon, France. He studied at ESPCI Paris and obtained a PhD in physics from Pierre and Marie Curie University. In 2006 he was appointed assistant professor at Paris Diderot University and joined ENS of Lyon. His research group combines microfluidic experiments, simulations, and theory to investigate collective phenomena in soft and active matter. Recent examples include flocking motion in disordered media.

Modeling crowd motion is central to situations as diverse as risk prevention in mass events and visual effects rendering in the motion picture industry. The difficulty of performing quantitative measurements in model experiments has limited our ability to model pedestrian flows. I will show how to elucidate the flowing behaviour of polarized crowds composed of thousands of runners by probing their response to boundary motion. Building on experimental observations, I will also show how to layout a hydrodynamic theory of polarized crowds and demonstrate its predictive power. 

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