Speaker
Stanislav Smirnov
Description Many 2D lattice models of statistical physics (percolation, Ising model of ferromagnetism, self-avoiding polymers) are conjectured to have conformally invariant scaling limits at critical temperatures, which was used by physicists in deriving many of their properties. Proving these conjectures requires finding "discrete conformal invariants" associated to the models. We will discuss what is a "discrete complex analysis" and how it appears in probabilistic structures.
Speaker
Hendrik Dietz
Description Advanced molecular self-assembly with 'DNA origami' offers a unique route for building custom shaped high-complexity objects that are commensurate in size to biological macromolecules. DNA origami objects can be used as platforms for placing, orienting, and even manipulating biological molecules in user defined ways. Thus, DNA origami objects can not only help improve existing experimental methods in the molecular biosciences but they also open completely new avenues of exploration. In our laboratory we have set out to develop custom 'nano' instrumentation based on DNA origami that complements single-molecule-level methods for observing and manipulating biological macromolecules. Among other goals, we seek to enable the study of adhesive interactions between biomolecules in unprecedented detail. We also aim to develop tools for unraveling the conformational dynamics of proteins at work in novel ways. More long term, we hope to be able to create a biologically inspired nanotechnology including devices that are capable of performing complex tasks such as enzymatic catalysis or molecular transport for human purposes. In my lecture I will focus on an introduction to DNA origami, our near-term applications, and report about some of our efforts in analyzing and improving molecular self-assembly reactions with DNA origami.
Speaker
Ivan Santamaría Holek
Description Se presentarán dos estudios sobre la dinámica de partículas en suspension. En el primero se describirá la transición entre la dinámica reversible e irreversible de partículas no-Brownianas en presencia de flujos cortantes oscilatorios observada en experimentos y se discutirá un modelo que muestra que dicha transición es compatible con la segunda ley de la termodinámica y debida a un acoplamiento de Onsager mediado por interacciones hidrodinámicas. En el segundo se presentará una teoría de medio efectivo que permite describir la dependencia de la viscosidad como función de la fracción de llenado a concentraciones arbitrarias.
Speaker
Rajarshi Roy
Description 22 i 23 juny de 2011, de 11h a 13h i de 15h a 17h
Speaker
Prof. Zbigniew J.Grzywna
Description We consider a quasilinear diffusion equation of parabolic type and analytical method of its solution.The method is based on a travelling wave concept and is applied to some class of generalized parabolic PDEs.We also make some comments on common properties of nonlinear operators used in physics today.