Date
CFF unit is pleased to invite you to the seminar.
Date
Dr. Po Lam Yung, Australian National University
Title: Sobolev norms revisited
Abstract:
In this talk, we will describe some new ways of characterising Sobolev norms, using sizes of superlevel sets of suitable difference quotients. They provide remedy in certain cases where some critical Gagliardo-Nirenberg interpolation inequalities fail, and lead us to investigate real interpolations of certain fractional Besov spaces. Some connections will be drawn to earlier work by Bourgain, Brezis and Mironescu. Joint work with Haim Brezis, Jean Van Schaftingen, Qingsong Gu, Andreas Seeger and Brian Street.
Please click here to register
*After registering, you will receive a confirmation email containing information about joining the meeting.
Date
Language: English
Date
Speaker: Samuel Creedon, City, University of London
Title: Defining an Affine Partition Algebra
Date
Prof. Dr. Julijana Gjorgjieva
Assistant Professor in Computational Neuroscience, Max Planck Institute for Brain Research, Technical University of Munich
The emergence of organization and computation in neural circuits
How neural circuits become organized during early postnatal development based on patterns of spontaneous activity and different plasticity mechanisms. Prof. Julijana will show the emergence of organization at the sub-cellular and cellular level and discuss implications for computations implemented by these networks. These theoretical models and simulations are supported by experimental data and make numerous predictions for future experiments.
Passcode: 959053
Date
The OIST Neuroscience Club would like to invite you to a special presentation by Prof. Gordon Arbuthnott. For his last public presentation, he will give a talk about his journey as a neuroscientist: past, present, and future.
Date
Professor Galia Dafni, Concordia University
Title: Boundedness and continuity of rearrangements in BMO and VMO
Abstract:
Joint work with Almut Burchard (Toronto) and Ryan Gibara (Cincinnati). Let \(f\) be a function of bounded mean oscillation (BMO) on cubes in \(\mathbb{R}^n\), \(n > 1\). If \(f\) is rearrangeable, we show that its symmetric decreasing rearrangement\(Sf\) belongs to \(\mathrm{BMO}(\mathbb{R}^n)\). We also improve the bounds for the decreasing rearrangement \(f^*\) by Bennett, DeVore and Sharpley, \(\|f^*\|_{ \mathrm{BMO}(\mathbb{R}_+)} \leq C_n\|f\| _{\mathrm{BMO}(\mathbb{R}^n)}\), by eliminating the exponential dependence of \(C_n\) on the dimension \(n\). The key is to switch from cubes to a comparable family of shapes. Using a family of rectangles that is preserved under bisections, one can prove a dimension-free Calder\'on-Zygmund decomposition, and the boundedness of the decreasing rearrangement with the same constant. Restricting to the subspace of functions of vanishing mean oscillation (VMO), we show that these rearrangements take VMO functions to VMO functions. Furthermore, while the map from \(f\) to \(f^*\) is not continuous in the BMO seminorm, we prove continuity when the limit is in VMO.
Please click here to register
*After registering, you will receive a confirmation email containing information about joining the meeting.
Date
OIST-UT Joint talk series for future science-Season 5: Understanding of superorganisms: collective behavior, differentiation and social organization
Date
Speaker: Samuel Creedon, City, University of London
Title: Defining an Affine Partition Algebra